Valuations with infinite limit-depth

2022/04/07 by Alberich-Carramiñana, Maria, Guàrdia, Jordi, Nart, Enric +1
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2204.03365

Abstract

For a certain field K, we construct a valuation-algebraic valuation on the polynomial ring K[x], whose Maclane--Vaquié chain consists of an infinite (countable) number of limit augmentations

Related

• Depth of extensions of valuations
• Extensions of a valuation from K to K[x]
• Invariants of limit key polynomials
• Key Polynomials
• MacLane-Vaquié chains and Valuation-Transcendental Extensions