Geodesic
Characteristic Classes of Homogeneous Essential Isolated Determinantal Varieties
Journal of Singularities, Tome 25 (2022), pp. 456-474

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A (homogeneous) Essentially Isolated Determinantal Variety is the natural generalization of a generic determinantal variety, and is a fundamental example to study non-isolated singularities. In this paper we study the characteristic classes on these varieties. We give explicit formulas for 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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     title = {Characteristic {Classes} of {Homogeneous} {Essential} {Isolated} {Determinantal} {Varieties}},
     journal = {Journal of Singularities},
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Xiping Zhang. Characteristic Classes of Homogeneous Essential Isolated Determinantal Varieties. Journal of Singularities, Tome 25 (2022), pp. 456-474. doi: 10.5427/jsing.2022.25w

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