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Journal of the Ramanujan Mathematical Society

Volume 31, Issue 4, December 2016  pp. 419–430.

Syzygies of some GIT quotients

Authors:  Krishna Hanumanthu and S. Senthamarai Kannan
Author institution:Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam 603 103, India

Summary:  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.


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