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arXiv · 1403.4371

The signed Euler characteristic of very affine varieties

Nero Budur·Botong Wang
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Abstract

A conjecture of J. Huh and B. Sturmfels predicts that the sign of the Euler characteristic of a complex very affine variety depends only on the parity of the dimension. The conjecture is true for locally complete intersections. Beyond this case, we construct counterexamples with arbitrarily bad failure.

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Nero Budur, Botong Wang. 2014-06-10. The signed Euler characteristic of very affine varieties. https://arxiv.org/abs/1403.4371

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