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Authors
Affiliations
1 Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam-603103, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 31, No 4 (2016), Pagination: 419-430
Abstract
Let X be flat scheme over Z such that its base change Xp, to ̅Fp is Frobenius split for all primes p. Let G be a reductive group scheme over Z acting on X. In this paper, we prove a result on the Np property for line bundles on GIT quotients of XC for the action of GC. We apply our result to the special cases of (1) an action of a finite group on the projective space and (2) the action of a maximal torus on the flag variety of type An.