Francesco Severi Explained

Francesco Severi
Birth Place:	Arezzo, Italy
Death Place:	Rome, Italy
Known For:	Algebraic geometry, several complex variables
Field:	Mathematics
Prizes:	Gold medal of the Accademia Nazionale delle Scienze detta dei XL (1906) Prix Bordin (1907) (jointly with Federigo Enriques) Guccia Medal (1908) "Premio reale" of the Accademia Nazionale dei Lincei (1913)
Alma Mater:	Università di Torino, 1900
Doctoral Advisor:	Corrado Segre
Academic Advisors:	Enrico d'Ovidio, Federigo Enriques, Eugenio Bertini
Doctoral Students:	Aldo Andreotti, Enzo Martinelli, Guido Zappa
Notable Students:	Luigi Fantappiè, Gaetano Fichera
Work Institutions:	Università di Torino, Università di Bologna, Università di Padova, Università di Roma, Istituto Nazionale di Alta Matematica (now Istituto Nazionale di Alta Matematica Francesco Severi)

Francesco Severi (13 April 1879 – 8 December 1961) was an Italian mathematician. He was the chair of the committee on Fields Medal on 1936, at the first delivery.

Severi was born in Arezzo, Italy. He is famous for his contributions to algebraic geometry and the theory of functions of several complex variables. He became the effective leader of the Italian school of algebraic geometry. Together with Federigo Enriques, he won the Bordin prize from the French Academy of Sciences.

He contributed in a major way to birational geometry, the theory of algebraic surfaces, in particular of the curves lying on them, the theory of moduli spaces and the theory of functions of several complex variables. He wrote prolifically, and some of his work (following the intuition-led approach of Federigo Enriques) has subsequently been shown to be not rigorous according to the then new standards set in particular by Oscar Zariski and André Weil. Although many of his arguments have since been made rigorous, a significant fraction were not only lacking in rigor but also wrong (in contrast to the work of Enriques, which though not rigorous was almost entirely correct). At the personal level, according to he was easily offended, and he was involved in a number of controversies. Most notably, he was a staunch supporter of the Italian fascist regime of Benito Mussolini and was included on a committee of academics that was to conduct an anti-semitic purge of all scholarly societies and academic institutions.^[1]

Biography

His childhood was marked by the death of his father, which occurred when he was 9 years old. This had serious economic repercussions on their family. Although he had to earn a living while conducting private lessons, Francesco Severi managed to continue his studies and enroll in the engineering course at the University of Turin. Due to the influence of courses by Corrado Segre, Severi quickly found a passion for pure mathematics.

In 1900, he completed his training with a thesis in the geometry of numbers, which would later become his favorite subject.

After his thesis, he became assistant to Enrico D'Ovidio at the University of Turin and from 1902 to 1905, he was a lecturer in projective and descriptive geometry. But soon, he obtained his transfer to the University of Bologna as assistant to Federigo Enriques. Then at the University of Pisa as assistant to Eugenio Bertini.

In 1904, in consideration of the results he obtained in the geometry of numbers (founding the theory of birational invariants of algebraic surfaces), he obtained the chair of projective and descriptive geometry at the University of Parma. However, he spent a year at the University of Padua. where, he teaches different subjects, and takes the direction of the engineering unit.

In 1906, he obtained a theorem of existence of algebraic curves drawn on certain types of surfaces, thus beginning the search for the classification of rational surfaces.^[2]

Mobilized during World War I, Severi enlisted in the artillery.

In 1921, he obtained the chair of algebraic geometry at La Sapienza University in Rome.

In 1923, he was elected rector of this university. But in 1925, following the assassination of the socialist politician Matteotti, he gave up his duties as rector. Nevertheless, Severi would remain without reaction against fascism and would accept the application of the racial laws.

In 1938, Severi was one of the founders of the Istituto Nazionale di Alta Matematica. Oscar Zariski is one of his most famous students.

In 1959, he converted to Catholicism and published his autobiography Dalla scienza alla fede (1959), he repents of his lack of political discernment

Mathematics is the art of giving the same name to various things, and mathematicians often make mistakes in politics, because it is, conversely, the art of giving different names to identical things.

During his career, Severi received numerous awards, including the Gold Medal of the National Academy of Sciences and, together with Federigo Enriques, the Bordin Prize of the Paris Academy of Sciences (this award, created in 1835 by Charles-Laurent Bordin is a biennial prize awarded to authors of works on subjects of public interest).

He was member of numerous Italian and foreign academies, including the Accademia dei Lincei in 1910 and the Accademia delle Scienze di Torino in 1918.

Selected publications

His scientific production includes more than 400 publications and numerous treatises. All the mathematical works of Francesco Severi, except all books, are collected in the six volumes of his "Opere Matematiche".

, available at Gallica. The paper containing the first proof of Morera's theorem for holomorphic functions of several variables.
. The announce of the solution of the Dirichlet problem for pluriharmonic functions for domains with real analytic boundaries.
. In this paper Severi describes the "passage from real to complex" method he developed in order to deal with several problems in the theory of functions of several complex variables.
. In this work Severi gives his proof of the Hartogs' extension theorem.
. Notes from a course held by Francesco Severi at the Istituto Nazionale di Alta Matematica (which at present bears his name), containing appendices of Enzo Martinelli, Giovanni Battista Rizza and Mario Benedicty.
(available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume I collects works published from 1900 to 1908.
(available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume II collects works published from 1909 to 1917.
(available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume III collects works published from 1918 to 1932.
(available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume IV collects works published from 1933 to 1941.
(available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume V collects works published from 1942 to 1948.
(available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume VI collects works published from 1949 to 1961.

Articles on Scientia

Ipotesi e realta nelle scienze geometriche, Scientia: rivista internazionale di sintesi scientifica, 8, 1910, pp. 1–29
Esame delle obiezioni d'ordine generale contro la relatività del tempo, Scientia: rivista internazionale di sintesi scientifica, 37, 1925, pp. 77–86
Elementi logici e psicologici dei principi di relatività, Scientia: rivista internazionale di sintesi scientifica, 37, 1925, pp. 1–10
Materia e causalità, energia e indeterminazione, Scientia: rivista internazionale di sintesi scientifica, 81, 1947, pp. 49–59
Leonardo e la matematica, Scientia: rivista internazionale di sintesi scientifica, 88, 1953, pp. 41–44
I fondamenti logici della relatività, Scientia: rivista internazionale di sintesi scientifica, 90, 1955, pp. 277–282
La matematica nella prima metà del secolo XX, Scientia: rivista internazionale di sintesi scientifica, 92, 1957, pp. 20–26

Reviews

Albert Einstein, L'ether et la theorie de la relativité, Scientia: rivista internazionale di sintesi scientifica, 91, 1956, pp. 42–43
Eric Temple Bell, Les mathematiques reines et servantes des sciences, Scientia: rivista internazionale di sintesi scientifica, 90, 1955, pp. 371–372
Nikolaus Von Cues, Die Mathematische Schriften, Scientia: rivista internazionale di sintesi scientifica, 89, 1954, pp. 34–34
Ludovico Geymonat, Saggi di Filosofia neorazionalista, Scientia: rivista internazionale di sintesi scientifica, 89, 1954, pp. 176–176
Norbert Wiener, Introduzione alla cibernetica, Scientia: rivista internazionale di sintesi scientifica, 88, 1953, pp. 312–313
Eric Temple Bell, I grandi Matematici, Scientia: rivista internazionale di sintesi scientifica, 86, 1951, pp. 183–184
Richard Courant e Herbert Robbins, Che cos'è la matematica?, Scientia: rivista internazionale di sintesi scientifica, 86, 1951, pp. 278–279
Gottlob Frege, Aritmetica e Logica, Scientia: rivista internazionale di sintesi scientifica, 84, 1949, pp. 144–144

References

Biographical and general references

. The "Yearbook" of the renowned Italian scientific institution, including an historical sketch of its history, the list of all past and present members as well as a wealth of information about its academic and scientific activities.
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, available at Gallica. A detailed description of the Bordin prize winning work of Francesco Severi and Federigo Enriques.
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. A report of the fourth International Congress of Mathematicians with a short exposition of the motivation for the awarding of the Guccia medal to Severi.
. The relation by Max Noether, Henri Poincaré and Corrado Segre on the motivation for the awarding of the Guccia medal to Severi, read during the fourth International Congress of Mathematicians.
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. A description of the scientific work done under the direction of Severi at the "Istituto Nazionale di Alta Matematica during the early forties of the twentieth century, by one of his former doctoral students.

Scientific references

. The "Proceedings of the mathematical conference for the celebration of the centenary of the birth of Guido Fubini and Francesco Severi", including several research as well as historical papers describing the contributions of Guido Fubini and Fracesco Severi to various branches of pure and applied mathematics: the conference was held on 8–10 October 1979 at the Accademia delle Scienze di Torino.
. In the paper "The contributions of Guido Fubini and Francesco Severi to the theory of functions of several complex variables" (English translation of the title), Gaetano Fichera describes the main contributions of the two scientists to the Cauchy and the Dirichlet problem for holomorphic functions of several complex variables, as well as the impact of their work on subsequent researches.
. "The Severi and Severi–Kneser theorems for analytic functions of several complex variables and their further developments" (English translation of the title) is an historical survey paper on the Cauchy and the Dirichlet problem for holomorphic functions of several complex variables, updating the earlier work .
. This paper, included in the Proceedings of the Study Meeting in Memory of Giuseppe Gemignani, is an account of the failures of Vito Volterra, Leonida Tonelli and Francesco Severi, when dealing with particular research problems during their career. An English translation of the title reads as:-"Three battles lost by three great Italian mathematicians".
. In the paper "The thought of Einstein in the work of Guido Fubini and Francesco Severi" (English translation of the title), Dionigi Galletto describes the main contributions of the two scientists to special and general relativity.
. In this paper, R. Michael Range corrects some inexact historical statements in the theory of holomorphic functions of several variables, particularly concerning contributions of Gaetano Fichera and Francesco Severi.
. An historical paper exploring further the same topic previously dealt in the paper by the same author.

External links

a very short biography of Severi, with a complete bibliography of his works, available at the "Geometria algebrica italiana (Italian algebraic geometry) " web site.

Contains also 12 further references.

a short résumé of his life available at the "".

. Available from the Edizione Nazionale Mathematica Italiana.
. The web site of the institute Francesco Severi founded.
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Notes and References

10.1090/noti881. A Fresh Look at Francesco Severi. Notices of the American Mathematical Society. 59. 8. 1064. 2012. Goodstein. Judith. Judith R. Goodstein. Babbitt. Donald. free.
Severi . Francesco . 1906-06-01 . Sulla totalità delle curve algebriche tracciate sopra una superficie algebrica . Mathematische Annalen . it . 62 . 2 . 194–225 . 10.1007/BF01449978 . 1432-1807.