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arxiv: 1502.06061 · v1 · pith:FAOSXU5Znew · submitted 2015-02-21 · 🧮 math.AG

Some surfaces with non-polyhedral nef cones

classification 🧮 math.AG
keywords complexconesnon-polyhedralprojectivesmoothsurfacesconecriterion
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We study the nef cones of complex smooth projective surfaces and give a sufficient criterion for them to be non-polyhedral. We use this to show that the nef cone of C x C, where C is a complex smooth projective curve of genus at least 2, is not polyhedral.

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