The Fourier-Mukai transform made easy
Algebraic Geometry
2019-06-03 v1
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 relatively 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.
Cite
@article{arxiv.1905.13287,
title = {The Fourier-Mukai transform made easy},
author = {Christian Schnell},
journal= {arXiv preprint arXiv:1905.13287},
year = {2019}
}
Comments
15 pages. Comments are most welcome!