Diagrammatical Display of the Counter-Example to Non-Abelian Bloch-Nordsieck Conjecture
نویسندگان
چکیده
منابع مشابه
Equivariant Bloch-Kato conjecture and non-abelian Iwasawa Main Conjecture
In this talk we explain the relation between the (equivariant) Bloch-Kato conjecture for special values of L-functions and the Main Conjecture of (nonabelian) Iwasawa theory. On the way we will discuss briefly the case of Dirichlet characters in the abelian case. We will also discuss how “twisting” in the non-abelian case would allow to reduce the general conjecture to the case of number fields...
متن کاملA counter-example to the Cantelli conjecture
In this paper, we construct a counter-example to a question by Cantelli, asking whether there exists a non-constant positive measurable function φ such that for i.i.d. r.v. X,Y of law N (0, 1), the r.v. X + φ(X) · Y is also Gaussian. For the construction that we propose, we introduce a new tool, the Brownian mass transport: the mass is transported by Brownian particles that are stopped in a spe...
متن کاملA Refined Counter-example to the Support Conjecture for Abelian Varieties
If A/K is an abelian variety over a number field and P and Q are rational points, the original support conjecture asserted that if the order of Q (mod p) divides the order of P (mod p) for almost all primes p of K, then Q is obtained from P by applying an endomorphism of A. This is now known to be untrue. In this note we prove that it is not even true modulo the torsion of A. Let A be an abelia...
متن کاملThe Bloch-nordsieck Propagator at Finite Temperature
We have shown recently that the resummation of soft photon contributions leads to a non-exponential decay of the fermion excitations in hot QED plasmas. The retarded propagator of a massless fermion was found to behave as SR(t 1/gT ) ∼ exp{−αTt [ lnωpt+C]}, where ωp = gT/3 is the plasma frequency, α = g2/4π, and C is a constant, independent of g, which was left undefined. This term is computed ...
متن کاملA counter-example to the Andreotti-Grauert conjecture
Let X be an analytic complex space which is q-complete. Then it follows from a theorem of Andreotti-Grauert [1] that H(X,F) = 0 for every coherent analytic sheaf F on X if p ≥ q. Until now it is not known if these two conditions are equivalent. The aim of this article is to give a counterexample to the converse of this statement. We show that there exist for each n ≥ 3 open sets Ω ⊂ I C such th...
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: Progress of Theoretical Physics
سال: 1981
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.66.269