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- W4287251081 abstract "We prove that both the local and global $mathbb{A}^1$-degree of an endomorphism of affine space can be computed in terms of the multivariate B'ezoutian. In particular, we show that the B'ezoutian bilinear form, the Scheja--Storch form, and the $mathbb{A}^1$-degree for complete intersections are isomorphic. Our global theorem generalizes Cazanave's theorem in the univariate case, and our local theorem generalizes Kass--Wickelgren's theorem on EKL forms and the local degree. This result provides an algebraic formula for local and global degrees in motivic homotopy theory." @default.
- W4287251081 created "2022-07-25" @default.
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- W4287251081 date "2021-03-30" @default.
- W4287251081 modified "2023-10-06" @default.
- W4287251081 title "B'ezoutians and the $mathbb{A}^1$-degree" @default.
- W4287251081 doi "https://doi.org/10.2140/ant.2023.17.1985" @default.
- W4287251081 hasPublicationYear "2021" @default.
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