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

Autores: Francesco Polizzi
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 56, Fasc. 2, 2005, págs. 181-234
Idioma: inglés
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Resumen
- The moduli spaceM 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 nonempty, dense subset M0 _ M which parametrizes isomorphism classes of surfaces with birational bicanonical map.