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arxiv: 1303.4043 · v1 · pith:5B67IQKInew · submitted 2013-03-17 · 🧮 math.AG

Severi inequality for varieties of maximal Albanese dimension

classification 🧮 math.AG
keywords albanesedimensionmaximalcomplexdimensionalgeneralgorensteininequality
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Let $X$ be a projective, normal, minimal and Gorenstein $n$-dimensional complex variety of general type. Suppose $X$ is of maximal Albanese dimension. We prove that $K^n_X \ge 2 n! \chi(K_X)$

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