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arXiv · 2011.12578

Characteristic Classes of Homogeneous Essential Isolated Determinantal Varieties

Xiping Zhang
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Abstract

The (homogeneous) Essentially Isolated Determinantal Variety is the natural generalization of generic determinantal variety, and is fundamental example to study non-isolated singularities. In this paper we study the characteristic classes on these varieties. We give explicit formulas of their Chern-Schwartz-MacPherson classes and Chern-Mather classes via standard Schubert calculus. As corollaries we obtain formulas for their (generic) sectional Euler characteristics, characteristic cycles and polar classes.

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Xiping Zhang. 2020-11-25. Characteristic Classes of Homogeneous Essential Isolated Determinantal Varieties. https://arxiv.org/abs/2011.12578

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