Length of Local Cohomology in Positive Characteristic and Ordinarity

• DOI: 10.1093/imrn/rny058
• Publication Date: 2018-03-28T11:19:58Z
• Authors: Thomas Bitoun
• Keywords: Local cohomology; Zero (linguistics); Closure (psychology)

Abstract Let D be the ring of Grothendieck differential operators R polynomials in d ≥ 3 variables with coefficients a perfect field characteristic p. We compute D-module length 1st local cohomology module ${H^{1}_{f}}(R)$ respect to polynomial f an isolated singularity, for p large enough. The expression we give is terms Frobenius action on top coherent exceptional fibre resolution singularity. Our proof rests tight closure computation Hara. Since above quite different from that corresponding zero, also consider zero whose expected equal above, ordinary primes.