Severi inequality for varieties of maximal Albanese dimension |
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Authors: | Tong Zhang |
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Institution: | 1. Department of Mathematics, University of Alberta, Edmonton, AB, T6G 2G1, Canada
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Abstract: | In this paper, we prove the general Severi inequality for varieties of maximal Albanese dimension. Suppose that \(X\) is an \(n\) -dimensional projective, normal, minimal and \(\mathbb {Q}\) -Gorenstein variety of general type in characteristic zero. If \(X\) is of maximal Albanese dimension, then \(K^n_X \ge 2 n! \chi (\omega _X)\) . |
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