Results 21 to 30 of about 318 (149)

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

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

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

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

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

Swampland distance conjecture for one-parameter Calabi-Yau threefolds

Journal of High Energy Physics, 2019
We investigate the swampland distance conjecture (SDC) in the complex moduli space of type II compactifications on one-parameter Calabi-Yau threefolds.
Abhinav Joshi, Albrecht Klemm
doaj   +1 more source

The tadpole conjecture in asymptotic limits

Journal of High Energy Physics, 2022
The tadpole conjecture suggests that the complete stabilization of complex structure deformations in Type IIB and F-theory flux compactifications is severely obstructed by the tadpole bound on the fluxes.
Mariana Graña, Thomas W. Grimm, Damian van de Heisteeg, Alvaro Herraez, Erik Plauschinn   +4 more
doaj   +1 more source

A remark on the generalized Hodge conjecture [PDF]

Mathematische Zeitschrift, 2014
20 pages.
openaire   +3 more sources

Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results

Symmetry, Integrability and Geometry: Methods and Applications, 2009
This paper is a survey of the subject of variations of Hodge structure (VHS) considered as exterior differential systems (EDS). We review developments over the last twenty-six years, with an emphasis on some key examples.
James Carlson, Mark Green, Phillip Griffiths   +2 more
doaj   +1 more source