Severi type inequalities for irregular surfaces with ample canonical class

• Autores: Margarida Mendes Lopes, Rita Pardini
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 86, Nº 2, 2011, págs. 401-414
• Idioma: inglés
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• Resumen

  • 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 q(S):=h0(?1S)?5, we show K2S?4?(S)+103q(S)-8, thus improving the well-known Severi inequality K2S?4?(S).

    We also give stronger inequalities under extra assumptions on the Albanese map or on the canonical map of S.