Surfaces with $p_g=q=3$
Algebraic Geometry
2007-05-23 v1
Abstract
We classify minimal complex surfaces of general type with . More precisely, we show that such a surface is either the symmetric product of a curve of genus 3 or a free quotient of the product of a curve of genus 2 and a curve of genus 3. Our main tools are the generic vanishing theorems of Green and Lazarsfeld and Fourier--Mukai transforms. The same result has been obtained independently at the same time by G. Pirola using different methods.
Cite
@article{arxiv.math/0104048,
title = {Surfaces with $p_g=q=3$},
author = {Christopher D. Hacon and Rita Pardini},
journal= {arXiv preprint arXiv:math/0104048},
year = {2007}
}
Comments
LaTeX2e, 9 pages