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- W3086978049 abstract "More than four decades ago, Eisenbud, Khimsiasvili, and Levine introduced an analogue in the algebro-geometric setting of the notion of local degree from differential topology. Their notion of degree, which we call the EKL-degree, can be thought of as a refinement of the usual notion of local degree in algebraic geometry that works over non-algebraically closed base fields, taking values in the Grothendieck-Witt ring. In this note, we compute the EKL-degree at the origin of certain finite covers $fcolon mathbb{A}^nto mathbb{A}^n$ induced by quotients under actions of Weyl groups. We use knowledge of the cohomology ring of partial flag varieties as a key input in our proofs, and our computations give interesting explicit examples in the field of $mathbb{A}^1$-enumerative geometry." @default.
- W3086978049 created "2020-09-21" @default.
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- W3086978049 date "2019-07-08" @default.
- W3086978049 modified "2023-09-27" @default.
- W3086978049 title "On the EKL-Degree of a Weyl Cover" @default.
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