Characteristic Classes of Homogeneous Essential Isolated Determinantal Varieties

DOI10.5427/JSING.2022.25WzbMATH Open1520.14013arXiv2011.12578OpenAlexW3109776381MaRDI QIDQ6053140

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Publication date: 25 September 2023

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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.

Full work available at URL: https://arxiv.org/abs/2011.12578

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