Let be a smooth minimal complex projective surface of maximal Albanese dimension. Under the assumption that the canonical class of is ample and , we show
thus improving the well-known Severi inequality .
We also give stronger inequalities under extra assumptions on the Albanese map or on the canonical map of .
Cite this article
Margarida Mendes Lopes, Rita Pardini, Severi type inequalities for irregular surfaces with ample canonical class. Comment. Math. Helv. 86 (2011), no. 2, pp. 401–414DOI 10.4171/CMH/228