Degrees of unitary Deligne-Lusztig varieties
Chao Li
TL;DR
This paper derives explicit degree formulas for specific unitary Deligne-Lusztig varieties and connects them with Schubert calculus to establish new algebraic combinatorial identities.
Contribution
It provides a novel explicit degree formula for unitary Deligne-Lusztig varieties and links it with Schubert calculus to derive combinatorial identities.
Findings
Explicit degree formula for unitary Deligne-Lusztig varieties
Connection between degree formulas and Schubert calculus
Derivation of new algebraic combinatorial identities
Abstract
We prove an explicit degree formula for certain unitary Deligne-Lusztig varieties. Combining with an alternative degree formula in terms of Schubert calculus, we deduce several algebraic combinatorial identities which may be of independent interest.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Mathematical Identities · Advanced Combinatorial Mathematics