Fourier transforms, generic vanishing theorems and polarizations of abelian varieties |
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Authors: | Christopher D. Hacon |
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Affiliation: | (1) Department of Mathematics, University of Utah, Salt Lake City, UT 84112-0090, USA (email: hacon@math.utah.edu), US |
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Abstract: | The purpose of this paper is to give two applications of Fourier transforms and generic vanishing theorems: – we give a cohomological characterization of principal polarizations – we prove that if X an abelian variety and a polarization of type (1, ...,1,2), then a general pair is log canonical. Received 14 May, 1999 / Published online September 14, 2000 |
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Keywords: | Mathematics Subject Classification (1991): 14K25 14E05. |
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