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Fourier–Mukai transforms and canonical divisors

Published online by Cambridge University Press:  14 July 2006

Yukinobu Toda
Yukinobu Toda
Affiliation:
Department of Mathematical Sciences, University of Tokyo, Komaba, Meguro, Tokyo 153-8914, Japantoda@ms.u-tokyo.ac.jp
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Abstract

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Let $X$ be a smooth projective variety. We study a relationship between the derived category of $X$ and that of a canonical divisor. As an application, we study Fourier–Mukai transforms when $\kappa (X)=\dim X -1$.

Keywords

derived categoriesFourier–Mukai transforms18E30 (primary)14F0514D2014E30 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 142 , Issue 4 , July 2006 , pp. 962 - 982
Copyright
Foundation Compositio Mathematica 2006