Titlebook: Resolution of Curve and Surface Singularities in Characteristic Zero; K. Kiyek,J. L. Vicente Book 2004 Springer Science+Business Media New

路標(biāo)

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

珠寶

Genteel

純樸

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 of

glamor

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 [embedded resolution of curves in a regular surface].

Commemorate

Book 2004rks on plane curves [cf. [148], [149]]. 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 m

expeditious

Sputum

Irksome