On surfaces of general type with pg = q = 1, K2 = 3.

Polizzi, Francesco. "On surfaces of general type with pg = q = 1, K2 = 3.." Collectanea Mathematica 56.2 (2005): 181-234. <http://eudml.org/doc/41828>.

@article{Polizzi2005,
abstract = {The moduli space M of surfaces of general type with pg = q = 1, K2 = g = 3 (where g is the genus of the Albanese fibration) was constructed by Catanese and Ciliberto in [14]. In this paper we characterize the subvariety M2 ⊂ M corresponding to surfaces containing a genus 2 pencil, and moreover we show that there exists a non-empty, dense subset M0 ⊂ M which parametrizes isomorphism classes of surfaces with birational bicanonical map.},
author = {Polizzi, Francesco},
journal = {Collectanea Mathematica},
keywords = {Superficies algebraicas; Espacio de moduli; Curvas elípticas; irregular surfaces of general type; symmetric products of elliptic curves; bicanonical map of surfaces},
language = {eng},
number = {2},
pages = {181-234},
title = {On surfaces of general type with pg = q = 1, K2 = 3.},
url = {http://eudml.org/doc/41828},
volume = {56},
year = {2005},
}

TY - JOUR
AU - Polizzi, Francesco
TI - On surfaces of general type with pg = q = 1, K2 = 3.
JO - Collectanea Mathematica
PY - 2005
VL - 56
IS - 2
SP - 181
EP - 234
AB - The moduli space M of surfaces of general type with pg = q = 1, K2 = g = 3 (where g is the genus of the Albanese fibration) was constructed by Catanese and Ciliberto in [14]. In this paper we characterize the subvariety M2 ⊂ M corresponding to surfaces containing a genus 2 pencil, and moreover we show that there exists a non-empty, dense subset M0 ⊂ M which parametrizes isomorphism classes of surfaces with birational bicanonical map.
LA - eng
KW - Superficies algebraicas; Espacio de moduli; Curvas elípticas; irregular surfaces of general type; symmetric products of elliptic curves; bicanonical map of surfaces
UR - http://eudml.org/doc/41828
ER -