2015/11/30 by Wenliang Zhang, Zhang, Wenliang · 1 citation
Mathematics · #Advanced Topics in Algebra #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.1512.00049
Let R=k[x1,…,xn]/I be a standard graded k-algebra where k is a field of prime characteristic and let J be a homogeneous ideal in R. Denote (x1,…,xn) by \mathfrakm. We prove that there is a constant C (independent of e) such that the regularity of Hs_\mathfrakm(R/J[pe]) is bounded above by Cpe for all e≥ 1 and all integers s such that s+1 is at least the dimension of the locus where R/J doesn't have finite projective dimension.