The moduli space W of surfaces of general type with p(g) = q = 1, K-2 = g = 3 (where g is the genus of the Albanese lbration) was constructed by Catanese and Ciliberto in [14]. In this paper we characterize the subvariety M-2 subset of M corresponding to surfaces containing a genus 2 pencil, and moreover we show that there exists a non-empty, dense subset M-0 subset of M which parametrizes isomorphism classes of surfaces with birational bicanonical map.
On surfaces of general type with p_g=q=1, K^2=3
POLIZZI, Francesco
2005-01-01
Abstract
The moduli space W of surfaces of general type with p(g) = q = 1, K-2 = g = 3 (where g is the genus of the Albanese lbration) was constructed by Catanese and Ciliberto in [14]. In this paper we characterize the subvariety M-2 subset of M corresponding to surfaces containing a genus 2 pencil, and moreover we show that there exists a non-empty, dense subset M-0 subset of M which parametrizes isomorphism classes of surfaces with birational bicanonical map.File in questo prodotto:
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