ترغب بنشر مسار تعليمي؟ اضغط هنا

Remark on equicharacteristic analogue of Hesselholts conjecture on cohomology of Witt vectors

98   0   0.0 ( 0 )
 نشر من قبل Amit Hogadi
 تاريخ النشر 2012
  مجال البحث
والبحث باللغة English




اسأل ChatGPT حول البحث

Let $L/K$ be a finite Galois extension of complete discrete valued fields of characteristic $p$. Assume that the induced residue field extension $k_L/k_K$ is separable. For an integer $ngeq 0$, let $W_n(sO_L)$ denote the ring of Witt vectors of length $n$ with coefficients in $sO_L$. We show that the proabelian group ${H^1(G,W_n(sO_L))}_{nin N}$ is zero. This is an equicharacteristic analogue of Hesselholts conjecture.



قيم البحث

اقرأ أيضاً

Let $A$ be any associative ring , possibly non-commutative, and let $p$ be a prime number. Let $E(A)$ be the ring of $p$-typical Witt vectors as constructed by Cuntz and Deninger and $W(A)$ be that constructed by Hesselholt. The goal of this paper is to answer the following question by Hesselholt: Is $HH_0(E(A)) $ isomorphic to $W(A)$? We show that in the case $p=2$, there is no such isomorphism possible if one insists it to be compatible with the Verscheibung operator and the Teichmuller map.
81 - Igor Nikolaev 2020
We prove Faltings Finiteness Theorem using Rieffels classification of the noncommutative tori.
We give a $K$-theoretic account of the basic properties of Witt vectors. Along the way we re-prove basic properties of the little-known Witt vector norm, give a characterization of Witt vectors in terms of algebraic $K$-theory, and a presentation of the Witt vectors that is useful for computation.
115 - P. Hu , I. Kriz , A. A. Voronov 2003
Let an n-algebra mean an algebra over the chain complex of the little n-cubes operad. We give a proof of Kontsevichs conjecture, which states that for a suitable notion of Hochschild cohomology in the category of n-algebras, the Hochschild cohomology complex of an n-algebra is an (n+1)-algebra. This generalizes a conjecture by Deligne for n=1, now proven by several authors.
306 - Carel Faber 2012
After recalling the various tautological algebras of the moduli space of curves and some of its partial compactifications and stating several well-known results and conjectures concerning these algebras, we prove that the natural extension to the cas e of pointed curves of a 1996 conjecture of Hain and Looijenga is true if and only if two of the stated conjectures are true.
التعليقات
جاري جلب التعليقات جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا