V. A. Petrov, A. K. Sonina, “Chow ring of horospherical varieties of Picard number one”, Zap. Nauchn. Sem. POMI, 2022, Volume 513,Pages <nobr>147

Chow ring of horospherical varieties of Picard number one

V. A. Petrov^ab, A. K. Sonina^c

^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

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.

UDC: 512.7

Received: 30.05.2022