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arXiv · 1905.13287

The Fourier-Mukai transform made easy

Christian Schnell
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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.

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Christian Schnell. 2019-05-30. The Fourier-Mukai transform made easy. https://arxiv.org/abs/1905.13287

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