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arXiv · 1005.2866

The group of autoequivalences and the Fourier-Mukai number of a projective manifold

Kotaro Kawatani
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Abstract

Let $X$ be a smooth projective variety and $\Aut (D(X))$ the group of autoequivalences of the derived category of $X$. In this paper we show that $X$ has no Fourier-Mukai partner other than $X$ when $\Aut (D(X))$ is generated by shifts, automorphisms and tensor products of line bundles.

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Kotaro Kawatani. 2010-05-21. The group of autoequivalences and the Fourier-Mukai number of a projective manifold. https://arxiv.org/abs/1005.2866

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