Results 1 
5 of
5
RESTRICTED INFINITESIMAL DEFORMATIONS OF RESTRICTED SIMPLE LIE ALGEBRAS
, 705
"... Abstract. We compute the restricted infinitesimal deformations of the restricted simple Lie algebras over an algebraically closed field of characteristic p ≥ 5. 1. ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
Abstract. We compute the restricted infinitesimal deformations of the restricted simple Lie algebras over an algebraically closed field of characteristic p ≥ 5. 1.
The Cone of Effective OneCycles of Certain GVarieties
"... Let X be a normal projective variety admitting an action of a semisimple group with a unique closed orbit. We construct finitely many rational curves in X, all having a common point, such that every effective onecycle on X is rationally equivalent to a unique linear combination of these curves with ..."
Abstract
 Add to MetaCart
Let X be a normal projective variety admitting an action of a semisimple group with a unique closed orbit. We construct finitely many rational curves in X, all having a common point, such that every effective onecycle on X is rationally equivalent to a unique linear combination of these curves with nonnegative rational coefficients. When X is nonsingular, these curves are projective lines, and they generate the integral Chow group of onecycles.
LARGE SCHUBERT VARIETIES MICHEL BRION AND PATRICK POLO
, 1999
"... Abstract. For a semisimple adjoint algebraic group G and a Borel subgroup B, consider the double classes BwB in G and their closures in the canonical compactification of G: we call these closures large Schubert varieties. We show that these varieties are normal and CohenMacaulay; we describe their ..."
Abstract
 Add to MetaCart
Abstract. For a semisimple adjoint algebraic group G and a Borel subgroup B, consider the double classes BwB in G and their closures in the canonical compactification of G: we call these closures large Schubert varieties. We show that these varieties are normal and CohenMacaulay; we describe their Picard group and the spaces of sections of their line bundles. As an application, we construct geometrically van der Kallen’s filtration of the algebra of regular functions on B. We also construct a degeneration of the flag variety G/B embedded diagonally in G/B ×G/B, into a union of Schubert varieties. This leads to formulae for the class of the diagonal in Tequivariant Ktheory of G/B × G/B, where T is a maximal torus of B.
DEFORMATIONS OF SIMPLE FINITE GROUP SCHEMES
, 705
"... Abstract. Simple finite group schemes over an algebraically closed field of positive characteristic p ̸ = 2, 3 have been classified. We consider the problem of determining their infinitesimal deformations. In particular, we compute the infinitesimal deformations of the simple finite group schemes of ..."
Abstract
 Add to MetaCart
Abstract. Simple finite group schemes over an algebraically closed field of positive characteristic p ̸ = 2, 3 have been classified. We consider the problem of determining their infinitesimal deformations. In particular, we compute the infinitesimal deformations of the simple finite group schemes of height one corresponding to the restricted simple Lie algebras. 1.