Unstable motivic homotopy theory

Wickelgren, Kirsten; Williams, Ben

doi:10.1201/9781351251624-22

Cited by 6 publications

(2 citation statements)

References 67 publications

(81 reference statements)

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“…We will assume some familiarity with motivic homotopy theory. For more detail about the category of motivic spaces Spc A 1 k and the unstable motivic homotopy category H(k), we refer the reader to the excellent expository articles [AE16,WW19]. For the construction of the stable motivic homotopy category SH(k), we refer the reader to [Mor04].…”

Section: Preliminariesmentioning

confidence: 99%

The trace of the local $\mathbb{A}^1$-degree

Brazelton

Burklund

McKean

et al. 2021

Homology, Homotopy and Applications

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We prove that the local A 1 -degree of a polynomial function at an isolated zero with finite separable residue field is given by the trace of the local A 1 -degree over the residue field. This fact was originally suggested by Morel's work on motivic transfers, and by Kass and Wickelgren's work on the Scheja-Storch bilinear form. As a corollary, we generalize a result of Kass and Wickelgren relating the Scheja-Storch form and the local A 1 -degree.

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Section: Preliminariesmentioning

confidence: 99%

The trace of the local $\mathbb{A}^1$-degree

Brazelton

Burklund

McKean

et al. 2021

Homology, Homotopy and Applications

View full text Add to dashboard Cite

show abstract

“…Morel's paper [Mor04] provides an introductory text, but recent advances like [AHW17] and [HKØ15] allow one to get to the heart of the matter much more quickly. We encourage the reader to consult [AE17], [IØ18], [Lev16], and [WW19] for recent surveys.…”

Section: A User's Guide To a 1 -Homotopy Theorymentioning

confidence: 99%