The geography of irregular surfaces

Abstract

We give an overview of results on irregular complex surfaces of general type, discussing in particular the distribution of the numerical invariants self-intersection of a canonical divisor and holomorphic Euler characteristic for the minimal ones. This is an expanded version of the talk given by the second author at the workshop "Classical Algebraic Geometry Today", M.S.R.I., January 26--30, 2009.

29 pp

References in corpus (7)

• The Severi inequality $K^2\ge 4\chi$ for surfaces of maximal Albanese dimension
• Strong generic vanishing and a higher dimensional Castelnuovo-de Franchis inequality
• Moduli of Trigonal Curves
• On surfaces of general type with p_g=q=1 isogenous to a product of curves
• Slopes of trigonal fibred surfaces and of higher dimensional fibrations
• Involutions on surfaces with $p_g=q=1$
• A note on Todorov surfaces