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Multiplicities of Monomial Space Curves with Non-Noetherian Symbolic Blowups
Authors:Mark R  Johnson
Institution:Department of Mathematical Sciences , University of Arkansas , Fayetteville , Arkansas , USA
Abstract:We study the multiplicities of space monomial curves with non-Noetherian symbolic blowups. We extend the celebrated examples of Goto, Nishida, and Watanabe, as well as introduce a new family of examples. In particular, there are such curves with multiplicity 11, and curves having any given multiplicity over 25 (with 12 possible exceptions).
Keywords:Multiplicity  Space monomial curve  Symbolic Rees algebra
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