منابع مشابه
Inseparable Local Uniformization
The aim of this paper is to prove that an algebraic variety over a field can be desingularized locally along a valuation after a purely inseparable alteration. Zariski was first to study the problem of desingularizing algebraic varieties along valuations. He called this problem local uniformization of valuations and observed that it should be considered as the local part of the desingularizatio...
متن کاملOn Local Uniformization in Arbitrary Characteristic
We prove that every place of an algebraic function eld of arbitrary characteristic admits a local uniformization in a nite extension of the function eld. We give a valuation theoretical description of these extensions; in certain cases, they can be found in the henselization of the function eld. For places satisfying the Abhyankar equality and for discrete rational places, no extension is neede...
متن کاملAbhyankar places admit local uniformization in any characteristic
We prove that every place P of an algebraic function field F |K of arbitrary characteristic admits local uniformization, provided that the sum of the rational rank of its value group and the transcendence degree of its residue field FP over K is equal to the transcendence degree of F |K, and the extension FP |K is separable. We generalize this result to the case where P dominates a regular loca...
متن کاملLocal Heights on Abelian Varieties and Rigid Analytic Uniformization
We express classical and p-adic local height pairings on an abelian variety with split semistable reduction in terms of the corresponding pairings on the abelian part of the Raynaud extension (which has good reduction). Here we use an approach to height pairings via splittings of biextensions which is due to Mazur and Tate. We conclude with a formula comparing Schneider's p-adic height pairing ...
متن کاملUniformization and Anti-uniformization Properties of Ladder Systems
Let S denote a stationary subset of limit ordinals of ω1. A ladder system on S is a sequence {Lα : α ∈ S} such that each Lα is an unbounded subset of α of order type ω. A ladder system is uniformizable if for each sequence 〈fα : α ∈ S〉 of functions fα : Lα → ω there is an F : ω1 → ω such that F Lα =∗ fα for each α ∈ S. I.e., for each α ∈ S, {β ∈ Lα : F (β) 6= fα(β)} is finite. We now formulate ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2013
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.09.023