2009/04/06 by Margarida Mendes Lopes, Rita Pardini, Lopes, Margarida Mendes +1
Mathematics · #14J29 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic and geometric function theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.AG #msc:14J29
paper · pdf · doi:10.48550/arxiv.0904.1004
13 pp., to apear in Commentarii Mathematici Helvetici
arxiv created 2009/04/06 · openalex publication_date 2009/04/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 K2>= 4χ(S)+(10/3)q(S)-8, thus improving the well known Severi inequality K2>=4χ(S). We also give stronger inequalities under extra assumptions on the Albanese map or on the canonical map of S.