Results 31 to 40 of about 26,779 (258)
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 +4 more
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A remark on the generalized Hodge conjecture [PDF]
Mathematische Zeitschrift, 2014 20 pages.
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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 +2 more
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On the coniveau of certain sub-Hodge structures
, 2012 We study the generalized Hodge conjecture for certain sub-Hodge structure defined as the kernel of the cup product map with a big cohomology class, which is of Hodge coniveau at least 1. As predicted by the generalized Hodge conjecture, we prove that the
Fu, Lie
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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.
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Lorentzian polynomials on cones
Forum of Mathematics, SigmaInspired 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
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Hodge loci and absolute Hodge classes [PDF]
, 2006 We combine Deligne's global invariant cycle theorem, and the algebraicity theorem of Cattani, Deligne and Kaplan, for the connected components of the locus of Hodge classes, to conclude that under simple assumptions these components are defined over ...
Voisin, Claire
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown +6 more
wiley +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 +3 more
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Hodge theory of cyclic covers branched over a union of hyperplanes
, 2013 Suppose that Y is a cyclic cover of projective space branched over a hyperplane arrangement D, and that U is the complement of the ramification locus in Y.
Arapura +13 more
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