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Characteristic Classes of Homogeneous Essential Isolated Determinantal Varieties

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arxiv 2011.12578 v2 pith:LNL4H56A submitted 2020-11-25 math.AG math.GT

Xiping Zhang This is my paper · ORCID
classification math.AGmath.GT
keywords classescharacteristicdeterminantalformulasgenerichomogeneousisolatedvarieties
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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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