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.
@article{urn:eudml:doc:41828,
title = {On surfaces of general type with pg = q = 1, K2 = 3.},
journal = {Collectanea Mathematica},
volume = {56},
year = {2005},
pages = {181-234},
zbl = {1084.14038},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41828}
}
Polizzi, Francesco. On surfaces of general type with pg = q = 1, K2 = 3.. Collectanea Mathematica, Tome 56 (2005) pp. 181-234. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41828/