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math.AG2007
The base components of the dualizing sheaf of a curve on a surface
Kazuhiro Konno, Margarida Mendes Lopes
This note studies the structure of the divisorial fixed part of the dualizing sheaf of a 1-connected curve D on a smooth surface S. It is shown that if the divisorial fixed part F…
math.AG2007
Surfaces with K^2<3χand finite fundamental group
Ciro Ciliberto, Margarida Mendes Lopes, Rita Pardini
In this paper we continue the study of algebraic fundamentale group of minimal surfaces of general type S satisfying K_S^2<3χ(S). We show that, if K_S^2= 3χ(S)-1 and the algebraic…