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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 513, Pages 147–163 (Mi znsl7235)  
Chow ring of horospherical varieties of Picard number one

V. A. Petrovab, A. K. Soninac

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Saint Petersburg State University
c Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
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Abstract: An algorithm based on Goresky–Kottwitz–MacPherson method is provided to compute the equivariant Chow ring of a horospherical variety of Picard number one. In the case of $G_2$-variety, an explicit presentation of this ring is given.
Key words and phrases: horospherical varieties, GKM-varieties, Chow ring.
Funding agency Grant number
Russian Science Foundation 20-41-04401
Received: 30.05.2022
English version:
Journal of Mathematical Sciences (New York), 2025, Volume 288, Issue 3, Pages 367–378
DOI: https://doi.org/10.1007/s10958-025-07705-4
Document Type: Article
UDC: 512.7
Language: Russian
Citation: V. A. Petrov, A. K. Sonina, “Chow ring of horospherical varieties of Picard number one”, Problems in the theory of representations of algebras and groups. Part 38, Zap. Nauchn. Sem. POMI, 513, POMI, St. Petersburg, 2022, 147–163; J. Math. Sci. (N. Y.), 288:3 (2025), 367–378
Citation in format AMSBIB
\Bibitem{PetSon22}
\by V.~A.~Petrov, A.~K.~Sonina
\paper Chow ring of horospherical varieties of Picard number one
\inbook Problems in the theory of representations of algebras and groups. Part~38
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 513
\pages 147--163
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7235}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2025
\vol 288
\issue 3
\pages 367--378
\crossref{https://doi.org/10.1007/s10958-025-07705-4}
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