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Some surfaces with non-polyhedral nef cones

Published 21 Feb 2015 in math.AG | (1502.06061v1)

Abstract: 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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