Abstract
We propose a slightly modified definition for the Fourier-Mukai transform (on abelian varieties) that makes it much easier to remember various formulas. As an application, we give short proofs for two important theorems: the characterization of GV-sheaves in terms of vanishing, due to Hacon; and fact that M-regularity implies (continuous) global generation, due to Pareschi and Popa.
| Original language | English |
|---|---|
| Pages (from-to) | 1749-1770 |
| Number of pages | 22 |
| Journal | Pure and Applied Mathematics Quarterly |
| Volume | 18 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2022 |
Keywords
- Fourier-Mukai transform
- GV-sheaf
- abelian variety
- m-regularity
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