Compactly supported A1-Euler characteristic and the Hochschild complex
Publication
, Journal Article
Arcila-Maya, N; Bethea, C; Opie, M; Wickelgren, K; Zakharevich, I
Published in: Topology and its Applications
July 1, 2022
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 [Formula presented] from the Grothendieck group of varieties to the Grothendieck–Witt group of bilinear forms. We also provide example computations.
Duke Scholars
Published In
Topology and its Applications
DOI
ISSN
0166-8641
Publication Date
July 1, 2022
Volume
316
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0199 Other Mathematical Sciences
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
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Arcila-Maya, N., Bethea, C., Opie, M., Wickelgren, K., & Zakharevich, I. (2022). Compactly supported A1-Euler characteristic and the Hochschild complex. Topology and Its Applications, 316. https://doi.org/10.1016/j.topol.2022.108108
Arcila-Maya, N., C. Bethea, M. Opie, K. Wickelgren, and I. Zakharevich. “Compactly supported A1-Euler characteristic and the Hochschild complex.” Topology and Its Applications 316 (July 1, 2022). https://doi.org/10.1016/j.topol.2022.108108.
Arcila-Maya N, Bethea C, Opie M, Wickelgren K, Zakharevich I. Compactly supported A1-Euler characteristic and the Hochschild complex. Topology and its Applications. 2022 Jul 1;316.
Arcila-Maya, N., et al. “Compactly supported A1-Euler characteristic and the Hochschild complex.” Topology and Its Applications, vol. 316, July 2022. Scopus, doi:10.1016/j.topol.2022.108108.
Arcila-Maya N, Bethea C, Opie M, Wickelgren K, Zakharevich I. Compactly supported A1-Euler characteristic and the Hochschild complex. Topology and its Applications. 2022 Jul 1;316.
Published In
Topology and its Applications
DOI
ISSN
0166-8641
Publication Date
July 1, 2022
Volume
316
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0199 Other Mathematical Sciences
- 0101 Pure Mathematics