27 citations · 33 across the 13 of their papers we have counts for
13 papers
Extending valuations of local domains to complete local domains without changing the value group
F. J. Herrera Govantes, M. A. Olalla Acosta, M. Spivakovsky +1
Let be an excellent local noetherian domain with field of fractions . Let be a valuation centered at and let be the correspondi…
Equations for formal toric degenerations
Bernard H Teissier
Let be a complete equicharacteristic noetherian local domain and a valuation of its field of fractions whose valuation ring dominates with trivial residue field extensi…
Lipschitz fractions of a complex analytic algebra and Zariski saturation
Frédéric Pham, Bernard Teissier
This text is the English translation, due to Naoufal Bouchareb, of an unpublished manuscript of 1969 (the French version is available on HAL as hal-00384928) inspired by Zariski's…
On the construction of valuations and generating sequences on hypersurface singularities
Steven Dale Cutkosky, Steven Cutkosky, Hussein Mourtada +1
Suppose that (K, ) is a valued field, f (z) K[z] is a unitary and irreducible polynomial and (L, ) is an extension of valued fields, where L = K[z]/(f (z)). Further sup…
Valuations and henselization
Ana Belén De Felipe Paramio, Ana Belén de Felipe Paramio, Bernard Teissier +1
We study the extension of valuations centered in a local domain to its henseliza-tion. We prove that a valuation centered in a local domain R uniquely determines a minimal prim…
Two points of the boundary of toric geometry
Bernard Teissier
This note presents two observations which have in common that they lie at the boundary of toric geometry. The first one because it concerns the deformation of affine toric varietie…