Compactly supported [formula omitted]-Euler characteristic and the Hochschild complex

Niny Arcila-Maya,Candace Bethea,Morgan Opie,Kirsten Wickelgren,Inna Zakharevich

doi:10.1016/j.topol.2022.108108

Compactly supported [formula omitted]-Euler characteristic and the Hochschild complex

Niny Arcila-Maya, Candace Bethea + Show 3 more

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https://doi.org/10.1016/j.topol.2022.108108

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Journal: Topology and its Applications	Publication Date: Apr 7, 2022
Citations: 1	License type: publisher-specific-oa

Affiliation: Duke University, University of South Carolina, University of California, Los Angeles, Cornell University

#Hochschild Complex #Projective Scheme + Show 4 more

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Abstract

We show the A1-Euler characteristic of a smooth, projective scheme over a characteristic 0 field is represented by its Hochschild complex together with a canonical bilinear form, and give an exposition of the compactly supported A1-Euler characteristic ▪ from the Grothendieck group of varieties to the Grothendieck–Witt group of bilinear forms. We also provide example computations.

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