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arXiv · 2104.00171

The Effect on Topology of the Action of a Unipotent Group

Mario Maican
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Abstract

Assume that two algebraic varieties of finite type over the complex numbers are related by a morphism whose fibers are precisely the orbits for the action of a unipotent group. We show that the two varieties have the same topological Euler characteristic. If they are smooth and the morphism is smooth, we show that the two varieties have the same cohomology groups.

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Mario Maican. 2021-04-01. The Effect on Topology of the Action of a Unipotent Group. https://arxiv.org/abs/2104.00171

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