路标 发表于 2025-3-25 05:09:00
Valuation Theory,. is a ring having large Jacobson radical. We show that a Manis valuation of . gives rise to a Manis valuation ring of . and that, conversely, every Manis valuation ring of . determines a Manis valuation of .. Also, for discrete Manis valuations we prove an approximation theorem.Indelible 发表于 2025-3-25 10:18:42
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The Singularity , = ,lgebraically closed field . of characteristic zero; here 0 < . < . are integers and gcd(., .) = 1. These singularities arise in a natural way: In section 1 we show in (1.6) that if L is a finite extension of . = .((., .)), . is the integral closure of . = . 〚., .〛 in ., and the only prime ideals ofglamor 发表于 2025-3-26 02:35:42
Resolution of Singularities, regular surface .,and we show: by a finite sequence of blowing up points we get a regular surface . such that the total transform of . in . is a divisor with normal crossings .Commemorate 发表于 2025-3-26 05:19:00
Book 2004rks on plane curves , ]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l mexpeditious 发表于 2025-3-26 09:14:39
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