Results 21 to 30 of about 152,514 (251)

On the Hodge conjecture for q–complete manifolds [PDF]

Geometry & Topology, 2016
In this version we improved most of the main results, showing that the analytic cycles representing the top dimensional cohomology classes of a $q$-complete complex manifold can be chosen to consist of holomorphic images of the ball (instead of ellipsoids that were used in Version 1)
Forstnerič, Franc, Smrekar, Jaka, Sukhov, Alexandre   +2 more
openaire   +3 more sources

Rank-2 attractors and Deligne’s conjecture

Journal of High Energy Physics, 2021
In this paper, we will study the arithmetic geometry of rank-2 attractors, which are Calabi-Yau threefolds whose Hodge structures admit interesting splits. We will develop methods to analyze the algebraic de Rham cohomologies of rank-2 attractors, and we
Wenzhe Yang
doaj   +1 more source

Notes on the Hodge conjecture for Fermat varieties [PDF]

Experimental Results, 2021
Abstract We review a combinatoric approach to the Hodge conjecture for Fermat varieties and announce new cases where the conjecture is true. We show the Hodge conjecture for Fermat fourfolds $ {X}_m^4 $
Genival da Silva, Adrian Clingher
openaire   +3 more sources

MULTIPLICATIVE SUB-HODGE STRUCTURES OF CONJUGATE VARIETIES

Forum of Mathematics, Sigma, 2014
For any subfield $K\subseteq \mathbb{C}$ , not contained in an imaginary quadratic extension of
STEFAN SCHREIEDER
doaj   +1 more source

Moduli stabilization in asymptotic flux compactifications

Journal of High Energy Physics, 2022
We present a novel strategy to systematically study complex-structure moduli stabilization in Type IIB and F-theory flux compactifications. In particular, we determine vacua in any asymptotic regime of the complex-structure moduli space by exploiting ...
Thomas W. Grimm, Erik Plauschinn, Damian van de Heisteeg   +2 more
doaj   +1 more source

On the Hodge, Tate and Mumford-Tate Conjectures for Fibre Products of Families of Regular Surfaces with Geometric Genus 1

Моделирование и анализ информационных систем, 2018
The Hodge, Tate and Mumford-Tate conjectures are proved for the fibre product of two non-isotrivial 1-parameter families of regular surfaces with geometric genus 1 under some conditions on degenerated fibres, the ranks of the N\'eron - Severi groups of ...
Olga V. Oreshkina (Nikol’skaya)
doaj   +1 more source

Moduli stabilization in type IIB orientifolds at h2,1 = 50

Journal of High Energy Physics, 2023
We study moduli stabilization in Calabi-Yau orientifold compactifications of type IIB string theory with O3- and O7-planes. We consider a Calabi-Yau three-fold with Hodge number h 2,1 = 50 and stabilize all axio-dilaton and complex-structure moduli by ...
Konstantinos Tsagkaris, Erik Plauschinn
doaj   +1 more source

Overconvergent modular forms are highest-weight vectors in the Hodge-Tate weight zero part of completed cohomology

Forum of Mathematics, Sigma, 2021
We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
doaj   +1 more source

A Proof of the Hodge Conjecture

A Proof of the Hodge Conjecture
A Proof of the Hodge ...
  +8 more sources

Essential lipid autacoids rewire mitochondrial energy efficiency in metabolic dysfunction‐associated fatty liver disease

Hepatology, EarlyView., 2022
Increased liver content of DHA‐derived small lipid autacoids (i.e resolvin D1 and maresin 1) associates with enhanced mitochondrial oxidative phosphorylation, fatty acid β‐oxidation and bioenergetic metabolic flux. These features provide hepatic protection from steatotic, pro‐inflammatory and fibrogenic insults.
Cristina López‐Vicario, David Sebastián, Mireia Casulleras, Marta Duran‐Güell, Roger Flores‐Costa, Ferran Aguilar, Juan José Lozano, Ingrid W. Zhang, Esther Titos, Jing X. Kang, Antonio Zorzano, Makoto Arita, Joan Clària   +12 more
wiley   +1 more source