Journal of the Ramanujan Mathematical Society

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Syzygies of Some GIT Quotients


Affiliations
1 Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam-603103, India
     

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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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  • Syzygies of Some GIT Quotients

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Authors

Krishna Hanumanthu
Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam-603103, India
S. Senthamarai Kannan
Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam-603103, India

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.