Sequence of Valuation Ideals of Prime Divisors of the Second Kind in 2-Dimensional Regular Local Rings

Valuation ideals of order two in 2-dimen

Valuation ideals of order two in 2-dimensional regular local rings

✍ Sunsook Noh 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 233 KB

## Abstract Let __K__ be the quotient field of a 2‐dimensional regular local ring (__R, m__) and let __v__ be a prime divisor of __R__, i.e., a valuation of __K__ birationally dominating __R__ which is residually transcendental over __R__. Zariski showed that: such prime divisor __v__ is uniquely a