Stability of the Tangent Bundle of G/P in Positive Characteristics

被引：0

作者：

Indranil Biswas

Pierre-Emmanuel Chaput

Christophe Mourougane

机构：

[1] Tata Institute of Fundamental Research,School of Mathematics

[2] Université Henri Poincaré Nancy 1,Domaine Scientifique Victor Grignard, 239, Boulevard des Aiguillettes

[3] Université de Rennes 1,Département de Mathématiques, Campus de Beaulieu, bât. 22

来源：

Algebras and Representation Theory | 2019年 / 22卷

关键词：

Rational homogeneous space; Tangent bundle; Stability; Frobenius; 14M17; 14G17; 14J60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be an almost simple simply-connected affine algebraic group over an algebraically closed field k of characteristic p > 0. If G has type Bn, Cn or F4, we assume that p > 2, and if G has type G2, we assume that p > 3. Let P ⊂ G be a parabolic subgroup. We prove that the tangent bundle of G/P is Frobenius stable with respect to the anticanonical polarization on G/P.

引用

页码：239 / 247

页数：8

共 13 条

[1] Atiyah MF(1956)On the Krull-Schmidt theorem with application to sheaves Bull. Soc. Math. France 84 307-317
[2] Azad H(2010)A note on the tangent bundle of G/P Proc. Indian Acad. Sci. Math. Sci. 120 69-71
[3] Biswas I(2010)On the adjoint quotient of Chevalley groups over arbitrary base schemes J. Inst. Math. Jussieu 9 673-704
[4] Chaput P-E(1977)automorphismes et déformations des variétés de Borel Invent. Math. 39 179-186
[5] Romagny M(1970)Nilpotent Connections and the Monodromy Theorem Applications of a Result of Turrittin Inst. Hautes Études Sci. Publ. Math. 39 175-232
[6] Demazure M(1955)Sur la forme hermitienne canonique des espaces homogènes complexes Canad. J. Math. 7 562-576
[7] Katz N(2008)On Frobenius-destabilized rank-2 vector bundles over curves Comment. Math. Helv. 83 179-209
[8] Koszul J-L(1966)Holomorphic vector bundles on homogeneous spaces Topology 5 159-177
[9] Lange H(1984)Some remarks on the instability flag Tohoku Math. Jour. 36 269-291
[10] Pauly C(undefined)undefined undefined undefined undefined-undefined

← 1 2 →