Zobrazeno 1 - 10
of 162 379
pro vyhledávání: '"Hasse"'
Given an abelian variety $A$ over a global function field $K$ of characteristic $p>0$ and an irreducible complex continuous representation $\psi$ of the absolute Galois group of $K$, we obtain a BSD-type formula for the leading term of Hasse--Weil--A
Externí odkaz:
http://arxiv.org/abs/2411.12404
Autor:
Rüd, Thomas, Bu, Alan
A finite extension of global fields $L/K$ satisfies the Hasse norm principle if any nonzero element of $K$ has the property that it is a norm locally if and only if it is a norm globally. In 1931, Hasse proved that any cyclic extension satisfies the
Externí odkaz:
http://arxiv.org/abs/2410.11159
Autor:
Mishra, Hrishabh
We establish new upper bounds on the number of failures of the integral Hasse principle within the family of Markoff type cubic surfaces $x^2+ y^2+ z^2- xyz= a$ with $|a|\leq A$ as $A\to \infty$. Our bound improves upon existing work of Ghosh and Sar
Externí odkaz:
http://arxiv.org/abs/2408.06846
Let $p$ be a rational prime, $q>1$ a power of $p$ and $F=\mathbb{F}_q(t)$. For an integer $d\geq 2$, let $D$ be a central division algebra over $F$ of dimension $d^2$ which is split at $\infty$ and has invariant $\mathrm{inv}_x(D)=1/d$ at any place $
Externí odkaz:
http://arxiv.org/abs/2409.19268