===============================================================================
vigre3.data
===============================================================================
Author: University of Georgia VIGRE Algebra Group

Members of the group:
Faculty-
David J. Benson, University of Aberdeen
Brian D. Boe, University of Georgia
Leonard Chastkofsky, University of Georgia
Daniel K. Nakano, University of Georgia
Postdocs-
Jo Jang Hyun, Sogang University, Seoul
Jonathan Kujawa, University of Georgia
Nadia Mazza, University of Aberdeen
Graduate students-
Philip Bergonio, University of Georgia
Bobbe Cooper, University of Georgia
Jeremiah Hower, University of Georgia
Kenyon J. Platt, University of Georgia
Caroline Wright, University of Georgia

Abstract:
Let G be a reductive algebraic group over an algebraically closed 
field of characteristic p > 0, and G_1 its first Frobenius kernel. 
We compute the support varieties over G_1 of the induced modules (and 
equivalently, the Weyl modules) for G, when p is a bad prime.  This 
extends the corresponding result by Nakano-Parshall-Vella (2002) when 
p is good -- the Jantzen conjecture on support varieties.  Unlike the 
good prime situation, the support varieties for p bad need not be 
closures of Richardson orbits.  However, in all characteristics they 
do turn out to be irreducible.  We also discuss the "realization 
problem" and show that "most" orbit closures in the restricted 
nullcone arise as support varieties of some G-module.

Status:  To appear in Journal of Algebra