Overweight deformations of affine toric varieties and local uniformization
B Teissier - arXiv preprint arXiv:1401.5204, 2014 - arxiv.org
We study Abhyankar valuations of excellent equicharacteristic local domains with an
algebraically closed residue field. For zero dimensional valuations we prove that whenever …
algebraically closed residue field. For zero dimensional valuations we prove that whenever …
A refinement of Izumi's Theorem
S Boucksom, C Favre, M Jonsson - arXiv preprint arXiv:1209.4104, 2012 - arxiv.org
We improve Izumi's inequality, which states that any divisorial valuation v centered at a
closed point 0 on an algebraic variety Y is controlled by the order of vanishing at 0. More …
closed point 0 on an algebraic variety Y is controlled by the order of vanishing at 0. More …
Rees valuations
I Swanson - Commutative algebra: Noetherian and non-Noetherian …, 2010 - Springer
This expository paper contains history, definitions, constructions, and the basic properties of
Rees valuations of ideals. A section is devoted to one-fibered ideals, that is, ideals with only …
Rees valuations of ideals. A section is devoted to one-fibered ideals, that is, ideals with only …
Ultrametric properties for valuation spaces of normal surface singularities
E García Barroso, P Pérez, P Popescu-Pampu… - Transactions of the …, 2019 - ams.org
Let $ L $ be a fixed branch–that is, an irreducible germ of curve–on a normal surface
singularity $ X $. If $ A, B $ are two other branches, define $ u_ {L}(A, B):=\dfrac {(L\cdot …
singularity $ X $. If $ A, B $ are two other branches, define $ u_ {L}(A, B):=\dfrac {(L\cdot …