Results 31 to 40 of about 1,240 (281)

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

open access: yesForum 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

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

open access: yesМоделирование 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

open access: yesJournal 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

Swampland distance conjecture for one-parameter Calabi-Yau threefolds

open access: yesJournal 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 Integral Hodge Conjecture and Universality of the Abel-Jacobi Maps

open access: yes, 2020
The rational Hodge conjecture states that rational Hodge classes are algebraic. This longstanding heavily studied conjecture has remained widely open since it was proposed in the nineteen fifties.
Fumiaki Suzuki (709059)
core   +1 more source

The tadpole conjecture in asymptotic limits

open access: yesJournal 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   +4 more
doaj   +1 more source

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

open access: yesSymmetry, 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   +2 more
doaj   +1 more source

Iwasawa theory for modular forms at supersingular primes

open access: yes, 2010
Let f=\sum a_nq^n be a normalised eigen-newform of weight k\ge2 and p an odd prime which does not divide the level of f. We study a reformulation of Kato's main conjecture for f over the Zp-cyclotomic extension of Q.
Antonio Lei
core   +1 more source

On the Hodge conjecture for products of certain surfaces [PDF]

open access: yes, 2003
In this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2.
J. Ramón Marí, José   +1 more
core  

Developmental and Epileptic Encephalopathy due to Biallelic Pathogenic Variants in PIGM

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective PIGM encodes a critical enzyme in the glycosylphosphatidylinositol (GPI)‐anchor biosynthesis pathway. While promoter‐region mutations in PIGM have been associated with a relatively mild phenotype characterized by portal vein thrombosis and absence seizures, recent evidence suggests that coding‐region mutations result in a more severe
Júlia Sala‐Coromina   +11 more
wiley   +1 more source

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