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Iskovskikh Seminar
December 22, 2011 19:00, Moscow, Steklov Mathematical Institute, room 540

On the divisor class group of double solids

Eugeny Gorinov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: For a double solid $V \to \mathbb P^3$ branched over a surface $B$ with only ordinary double points as singularities we give a set of generators of divisor class group $Pic(V)=\cong H^2(V,\mathbb Z)$ in terms of contact surfaces of $B$. As an application we give a condition when $H^*(V,\mathbb Z)$ has no 2-torsion.