Vol. 163, No. 2, 1994

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On the Frobenius morphism of flag schemes

Masaharu Kaneda

Vol. 163 (1994), No. 2, 315–336
Abstract

We give a new proof to V. B. Mehta and A. Ramanthan’s theorem that the Schubert subschemes in a flag scheme are all simultaneously compatibly split, using the representation theory of infinitesimal algebraic groups. In particular, the present proof dispenses with the Bott-Samelson schemes.

Mathematical Subject Classification 2000
Primary: 14L30
Secondary: 14M15, 20G05
Milestones
Received: 27 January 1992
Revised: 19 April 1993
Published: 1 April 1994
Authors
Masaharu Kaneda