Dominating real algebraic morphisms

被引：0

作者：

Kucharz, Wojciech ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Math, Fac Math & Comp Sci, Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2024年 / 228卷 / 01期

关键词：

Real algebraic variety; Regular map; Dominating map; Dominating spray;

D O I：

10.1016/j.jpaa.2023.107467

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X and Y be nonsingular real algebraic varieties, dim X & GE; dim Y. 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.

引用

页数：5

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