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arXiv · 1505.01035

Adjoints to a Fourier-Mukai transform

Alice Rizzardo
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Abstract

Given a Fourier-Mukai functor $\Phi$ in the general setting of singular schemes, under various hypotheses we provide both left and a right adjoints to $\Phi$, and also give explicit formulas for them. These formulas are simple and natural, and recover the usual formulas when the Fourier-Mukai kernel is a perfect complex. This extends previous work of Anno and Logvinenko, and Hernandez Ruiperez, Lopez Martin and Sancho de Salas, and has applications to the twist autoequivalences of Donovan and Wemyss.

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Alice Rizzardo. 2015-05-05. Adjoints to a Fourier-Mukai transform. https://arxiv.org/abs/1505.01035

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