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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.AC2003
Cohen-Macaulayness of special fiber rings
Alberto Corso, Laura Ghezzi, Claudia Polini +1
Let be a Noetherian local ring and let be an -ideal. Inspired by the work of Hübl and Huneke, we look for conditions that guarantee the Cohen-Macaulayne…