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The Severi inequality K2≥4χ for surfaces of maximal Albanese dimension

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Abstract

We prove the so-called Severi inequality, stating that the invariants of a minimal smooth complex projective surface of maximal Albanese dimension satisfy:

$$K^2_S\ge4\chi(S).$$

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pisa, Via F. Buonarroti 2, 56127, Pisa, Italy

    Rita Pardini

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  1. Rita Pardini
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Correspondence to Rita Pardini.

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Mathematics Subject Classification (2000)

14J29

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Pardini, R. The Severi inequality K2≥4χ for surfaces of maximal Albanese dimension. Invent. math. 159, 669–672 (2005). https://doi.org/10.1007/s00222-004-0399-7

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  • DOI: https://doi.org/10.1007/s00222-004-0399-7

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