Affordable Access

The classification of minimal product-quotient surfaces with $p_g=0$

Authors
  • Bauer, Ingrid
  • Pignatelli, Roberto
Type
Preprint
Publication Date
Apr 05, 2011
Submission Date
Jun 16, 2010
Identifiers
arXiv ID: 1006.3209
Source
arXiv
License
Yellow
External links

Abstract

A product-quotient surface is the minimal resolution of the singularities of the quotient of a product of two curves by the action of a finite group acting separately on the two factors. We classify all minimal product-quotient surfaces of general type with geometric genus 0: they form 72 families. We show that there is exactly one product-quotient surface of general type with big canonical class which is not minimal, and describe its (-1) curves. For all these surfaces the Bloch conjecture holds.

Report this publication

Statistics

Seen <100 times