Finiteness conjecture and subdivision
نویسندگان
چکیده
منابع مشابه
Formal Finiteness and the Torsion Conjecture
One denotes by S(d) the collection of all torsion primes of degree d. The well known strong uniform boundedness conjecture states that for every d, the set S(d) is nite. The main results of [KaMa-92] summarize as follows: for all d, S(d) is of density zero, and for d 8, S(d) is nite. It should be mentioned that the original conjecture is not restricted to prime levels, but in [KaMa-92] it is sh...
متن کاملLocal Finiteness, Distinguishing Numbers, and Tucker's Conjecture
A distinguishing colouring of a graph is a colouring of the vertex set such that no non-trivial automorphism preserves the colouring. Tucker conjectured that if every non-trivial automorphism of a locally finite graph moves infinitely many vertices, then there is a distinguishing 2-colouring. We show that the requirement of local finiteness is necessary by giving a nonlocally finite graph for w...
متن کاملAn Elementary Counterexample to the Finiteness Conjecture
We prove that there exist (infinitely many) values of the real parameters a and b for which the matrices
متن کاملFiniteness of K3 Surfaces and the Tate Conjecture
Given a finite field k of characteristic p ≥ 5, we show that the Tate conjecture holds for K3 surfaces over k if and only if there are finitely many K3 surfaces defined over each finite extension of k.
متن کاملAn explicit counterexample to the Lagarias-Wang finiteness conjecture
The joint spectral radius of a finite set of real d × d matrices is defined to be the maximum possible exponential rate of growth of long products of matrices drawn from that set. A set of matrices is said to have the finiteness property if there exists a periodic product which achieves this maximal rate of growth. J. C. Lagarias and Y. Wang conjectured in 1995 that every finite set of real d× ...
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: Applied and Computational Harmonic Analysis
سال: 2014
ISSN: 1063-5203
DOI: 10.1016/j.acha.2013.09.002