Results 1 to 10 of about 328 (146)

Finiteness properties of the category of mod p representations of ${\textrm {GL}}_2 (\mathbb {Q}_{p})$

Forum of Mathematics, Sigma, 2021
We establish the Bernstein-centre type of results for the category of mod p representations of $\operatorname {\mathrm {GL}}_2 (\mathbb {Q}_p)$ . We treat all the remaining open cases, which occur when p is $2$ or $3$ .
Vytautas Paškūnas, Shen-Ning Tung
doaj   +1 more source

Troisi\`eme groupe de cohomologie non ramifi\'ee d'un solide cubique sur un corps de fonctions d'une variable [PDF]

Épijournal de Géométrie Algébrique, 2018
En combinant une m\'ethode de C. Voisin avec la descente galoisienne sur le groupe de Chow en codimension $2$, nous montrons que le troisi\`eme groupe de cohomologie non ramifi\'ee d'un solide cubique lisse d\'efini sur le corps des fonctions d'une ...
Jean-Louis Colliot-Thélène, Alena Pirutka   +1 more
doaj   +1 more source

Real rectifiable currents, holomorphic chains and algebraic cycles

Complex Manifolds, 2021
We study some fundamental properties of real rectifiable currents and give a generalization of King’s theorem to characterize currents defined by positive real holomorphic chains.
Teh Jyh-Haur, Yang Chin-Jui
doaj   +1 more source

Classifying divisor topologies for string phenomenology

Journal of High Energy Physics, 2022
In this article we present a pheno-inspired classification for the divisor topologies of the favorable Calabi Yau (CY) threefolds with 1 ≤ h 1,1(CY) ≤ 5 arising from the four-dimensional reflexive polytopes of the Kreuzer-Skarke database.
Pramod Shukla
doaj   +1 more source

On locally analytic vectors of the completed cohomology of modular curves

Forum of Mathematics, Pi, 2022
We study the locally analytic vectors in the completed cohomology of modular curves and determine the eigenvectors of a rational Borel subalgebra of $\mathfrak {gl}_2(\mathbb {Q}_p)$ .
Lue Pan
doaj   +1 more source

Weak gravity bounds in asymptotic string compactifications

Journal of High Energy Physics, 2021
We study the charge-to-mass ratios of BPS states in four-dimensional N $$ \mathcal{N} $$ = 2 supergravities arising from Calabi-Yau threefold compactifications of Type IIB string theory.
Brice Bastian, Thomas W. Grimm, Damian van de Heisteeg   +2 more
doaj   +1 more source

ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD

Forum of Mathematics, Sigma, 2013
Hassett and Tschinkel gave counterexamples to the integral Hodge conjecture among 3-folds over a number field. We work out their method in detail, showing that essentially all known counterexamples to the integral Hodge conjecture over the complex ...
BURT TOTARO
doaj   +1 more source

Hodge decomposition of string topology

Forum of Mathematics, Sigma, 2021
Let X be a simply connected closed oriented manifold of rationally elliptic homotopy type. We prove that the string topology bracket on the $S^1$-equivariant homology $ {\overline {\text {H}}}_\ast ^{S^1}({\mathcal {L}} X,{\mathbb {Q}}) $ of the free ...
Yuri Berest, Ajay C. Ramadoss, Yining Zhang   +2 more
doaj   +1 more source

On Algebraic Cycles on Fibre Products of Non-isotrivial Families of Regular Surfaces with Geometric Genus 1

Моделирование и анализ информационных систем, 2016
Let      ) be a projective family of surfaces (possibly with degenerations) over a smooth projective curve  . Assume that the discriminant loci       are disjoint,          for any smooth fibre     and the period map associated with the variation of ...
O. V. Nikol’skaya
doaj   +1 more source

Infinite distances and the axion weak gravity conjecture

Journal of High Energy Physics, 2020
The axion Weak Gravity Conjecture implies that when parametrically increasing the axion decay constants, instanton corrections become increasingly important.
Thomas W. Grimm, Damian van de Heisteeg
doaj   +1 more source