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arxiv: 1209.5457 · v2 · pith:LH4QL6ETnew · submitted 2012-09-24 · 🧮 math.AG

Surfaces with involution and Prym constructions

Mingmin Shen This is my paper
classification 🧮 math.AG
keywords groupinvolutionsurfaceactionsbrauerbundleschowcohomology
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An involution on a surface induces involutions on the cohomology, the Chow group and the Brauer group of the surface. We give a detailed study of those actions. We show that the odd part of these groups can be used to describe the geometry of cubic fourfolds and conic bundles over $\mathbb{P}^3$.

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