The Severi inequality $K^2\ge 4χ$ for surfaces of maximal Albanese dimension

Details The Severi inequality $K^2\ge 4χ$ for surfaces of maximal Albanese dimension The Severi inequality $K^2\ge 4χ$ for surfaces of maximal Albanese dimension

2004-03-10

arxiv.org/abs/math/0403170v3

Mathematics

Algebraic Geometry

Final version: proof slightly simplified, a reference added

Scientific paper

10.1007/s00222-004-0399-7

We prove the so-called Severi inequality, stating that the invariants of a
minimal smooth complex projective surface of maximal Albanese dimension
satisfy: K^2_S >= 4\chi(S).

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