| Shigeru Mukai | |
| Birth Date: | 1953 |
| Nationality: | Japanese |
is a Japanese mathematician at Kyoto University specializing in algebraic geometry.
He introduced the Fourier–Mukai transform in 1981 in a paper on abelian varieties, which also made up his doctoral thesis. His research since has included work on vector bundles on K3 surfaces, three-dimensional Fano varieties, moduli theory, and non-commutative Brill-Noether theory. He also found a new counterexample to Hilbert's 14th problem (the first counterexample was found by Nagata in 1959).
D(X)
D(\hatX)