V. A. Petrov

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Chow Ring of Horospherical Variety with Picard Number 12025
• Morava J-invariant2025
• Growth, luminescence, and Judd-Ofelt analysis of Pr3+ doped Bi3TeBO9 single crystal2024
• Geometry of symmetric spaces of type EIII2024
• Geometry of symmetric spaces of type EVI2023
• Shells of twisted flag varieties and the Rost invariant2015 · аннотациясвернуть

  We introduce two new general methods to compute the Chow motives of twisted flag varieties and settle a 20-year-old conjecture of Markus Rost about the Rost invariant for groups of type \E_7.

• Generically split projective homogeneous varieties2010 · аннотациясвернуть

  Let G be an exceptional simple algebraic group over a field k, and let X be a projective G-homogeneous variety such that G splits over k(X). We classify such varieties X. This classification allows us to relate the Rost…

• Elementary subgroups of isotropic reductive groups2009 · аннотациясвернуть

  Let G be a not necessarily split reductive group scheme over a commutative ring R with 1. Given a parabolic subgroup P of G, the elementary group E_P(R) is defined to be the subgroup of G(R)…