Euler characteristic of the space of real multivariate irreducible polynomials
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- by Trevor Hyde
- Proc. Amer. Math. Soc. 150 (2022), 2331-2343
- DOI: https://doi.org/10.1090/proc/15849
- Published electronically: March 7, 2022
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Abstract:
We compute the compactly supported Euler characteristic of the space of degree $d$ irreducible polynomials in $n$ variables with real coefficients and show that the values are given by the digits in the so-called balanced binary expansion of the number of variables $n$.References
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Bibliographic Information
- Trevor Hyde
- Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
- MR Author ID: 975042
- ORCID: 0000-0002-9380-1928
- Email: tghyde@uchicago.edu
- Received by editor(s): May 3, 2021
- Received by editor(s) in revised form: September 15, 2021
- Published electronically: March 7, 2022
- Additional Notes: The author was partially supported by NSF postdoctoral research fellowship DMS-2002176 and the Jump Trading Mathlab Research Fund.
- Communicated by: Rachel Pries
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 150 (2022), 2331-2343
- MSC (2020): Primary 12D05, 14F25; Secondary 05A15, 11T22
- DOI: https://doi.org/10.1090/proc/15849
- MathSciNet review: 4399253