Results 31 to 40 of about 318 (149)

The Hodge conjecture for general Prym varieties [PDF]

Journal of Algebraic Geometry, 2002
The space of Hodge cycles of the general Prym variety is proved to be generated by its Neron-Severi group.
Biswas, Indranil, Paranjape, Kapil H.
openaire   +2 more sources

Lorentzian polynomials on cones

Forum of Mathematics, Sigma
Inspired by the theory of hyperbolic polynomials and Hodge theory, we develop the theory of Lorentzian polynomials on cones. This notion captures the Hodge-Riemann relations of degree zero and one.
Petter Brändén, Jonathan Leake
doaj   +1 more source

A one parameter family of Calabi-Yau manifolds with attractor points of rank two

Journal of High Energy Physics, 2020
In the process of studying the ζ-function for one parameter families of Calabi-Yau manifolds we have been led to a manifold, first studied by Verrill, for which the quartic numerator of the ζ-function factorises into two quadrics remarkably often.
Philip Candelas, Xenia de la Ossa, Mohamed Elmi, Duco van Straten   +3 more
doaj   +1 more source

Mod p points on shimura varieties of parahoric level

Forum of Mathematics, Pi
We study the $\overline {\mathbb {F}}_{p}$ -points of the Kisin–Pappas integral models of Shimura varieties of Hodge type with parahoric level. We show that if the group is quasi-split, then every isogeny class contains the reduction of a CM point,
Pol van Hoften
doaj   +1 more source

Nodes and the Hodge conjecture [PDF]

Journal of Algebraic Geometry, 2005
7 pages; published ...
openaire   +3 more sources

Asymptotic flux compactifications and the swampland

Journal of High Energy Physics, 2020
We initiate the systematic study of flux scalar potentials and their vacua by using asymptotic Hodge theory. To begin with, we consider F-theory compactifications on Calabi-Yau fourfolds with four-form flux.
Thomas W. Grimm, Chongchuo Li, Irene Valenzuela   +2 more
doaj   +1 more source

Special geometry and the swampland

Journal of High Energy Physics, 2020
In the context of 4d effective gravity theories with 8 supersymmetries, we propose to unify, strenghten, and refine the several swampland conjectures into a single statement: the structural criterion, modelled on the structure theorem in Hodge theory. In
Sergio Cecotti
doaj   +1 more source

Hodge conjecture for projective hypersurface

, 2023
We show that a Hodge class of a complex smooth projective hypersurface is an analytic logarithmic De Rham class. On the other hand we show that for a complex smooth projective variety an analytic logarithmic De Rham class of of type $(d,d)$ is the class of codimension $d$ algebraic cycle.
openaire   +2 more sources

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

Infinite distance networks in field space and charge orbits

Journal of High Energy Physics, 2019
The Swampland Distance Conjecture proposes that approaching infinite distances in field space an infinite tower of states becomes exponentially light. We study this conjecture for the complex structure moduli space of Calabi-Yau manifolds.
Thomas W. Grimm, Chongchuo Li, Eran Palti   +2 more
doaj   +1 more source