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math.AC2004★ 2 cited
Asymptotic behaviour of the length of local cohomology
Steven Dale Cutkosky, Huy Tai Ha, Hema Srinivasan +1
Let k be a field of characteristic 0, R = k[x_1, ..., x_d] be a polynomial ring, and m its maximal homogeneous ideal. Let I be a homogeneous ideal in R. In this paper we investigat…
math.AC2003
Completions of valuation rings
Steven Dale Cutkosky, Laura Ghezzi
Let k be a field of characteristic zero, K an algebraic function field over k, and V a k-valuation ring of K. Zariski's theorem of local uniformization shows that there exist algeb…
math.AC2002
Arithmetic Macaulayfication of projective schemes
S. D. Cutkosky, Huy Tai Ha
In this paper, we study arithmetic Macaulayfication of projective schemes and Rees algebras of ideals. We give a necessary and sufficient condition for a nonsingular projective sch…