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- W3083293669 abstract "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 f : A n → 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 A 1 -enumerative geometry." @default.
- W3083293669 created "2020-09-11" @default.
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- W3083293669 date "2021-01-01" @default.
- W3083293669 modified "2023-10-13" @default.
- W3083293669 title "On the EKL-degree of a Weyl cover" @default.
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- W3083293669 doi "https://doi.org/10.1016/j.jalgebra.2020.08.018" @default.
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