Let S be a surface of general type with not birational bicanonical map and that does not contain a pencil of genus 2 curves. If K^2_S= 8, p_g(S) = 4 and q(S) = 0 then S can be given as double cover of a quadric surface. We show that its moduli space is generically smooth of dimension 38, and single out an open subset. Note that for these surfaces h2(S; TS) is not zero.
Supino, P. (2003). On moduli of regular surfaces with $K^2=8$ and $p_g=4$. PORTUGALIAE MATHEMATICA, 60(3), 353-358 [10.4171/PM].
On moduli of regular surfaces with $K^2=8$ and $p_g=4$
SUPINO, PAOLA
2003-01-01
Abstract
Let S be a surface of general type with not birational bicanonical map and that does not contain a pencil of genus 2 curves. If K^2_S= 8, p_g(S) = 4 and q(S) = 0 then S can be given as double cover of a quadric surface. We show that its moduli space is generically smooth of dimension 38, and single out an open subset. Note that for these surfaces h2(S; TS) is not zero.File in questo prodotto:
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