UNSPECIFIED (2001) Reconstruction of a variety from the derived category and groups of autoequivalences. COMPOSITIO MATHEMATICA, 125 (3). pp. 327-344. ISSN 0010-437X

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Abstract

We consider smooth algebraic varieties with ample either canonical or anticanonical sheaf. We prove that such a variety is uniquely determined by its derived category of coherent sheaves. We also calculate the group of exact autoequivalences for these categories. The technics of ample sequences in Abelian categories is used.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	COMPOSITIO MATHEMATICA
Publisher:	KLUWER ACADEMIC PUBL
ISSN:	0010-437X
Date:	February 2001
Volume:	125
Number:	3
Number of Pages:	18
Page Range:	pp. 327-344
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/12386

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