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arXiv · 0904.1004

Severi type inequalities for irregular surfaces with ample canonical class

Margarida Mendes Lopes·Rita Pardini
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Abstract

Let S be a smooth minimal complex projective surface of maximal Albanese dimension. Under the assumption that the canonical class of S is ample and the irregularity of S, q(S), is greater or equal to 5 we show that K^2>= 4χ(S)+(10/3)q(S)-8, thus improving the well known Severi inequality K^2>=4χ(S). We also give stronger inequalities under extra assumptions on the Albanese map or on the canonical map of S.

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Margarida Mendes Lopes, Rita Pardini. 2009-04-06. Severi type inequalities for irregular surfaces with ample canonical class. https://arxiv.org/abs/0904.1004

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