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arXiv · 2302.02691

Dominating real algebraic morphisms

Wojciech Kucharz
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Abstract

Let X and Y be nonsingular real algebraic varieties, dimX>dimY-1. Assume that the variety Y is malleable, compact and connected. Our main result implies that each regular map from X to Y is homotopic to a surjective regular map. The class of malleable varieties includes all homogeneous spaces for linear real algebraic groups.

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Wojciech Kucharz. 2023-02-06. Dominating real algebraic morphisms. https://arxiv.org/abs/2302.02691

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