Results 101 to 110 of about 1,240 (281)
A Structural Resolution of the Hodge Conjecture [PDF]
The Hodge Conjecture proposes that certain cohomology classes of a smooth projective variety correspond to algebraic cycles. This paper argues that the conjecture represents an artificial fixation analogous to Zeno’s paradox, where motion is frozen into ...
Nemoto, Ryusho
core
International Journal of Cancer, EarlyView.Early‐life exposures may influence immune system development and, in turn, affect cancer susceptibility. In this population‐based case‐control study, the authors examined whether in utero or early childhood exposures were associated with the risk of developing multiple myeloma in adulthood.
Zhuoyu Sun +10 more
wiley +1 more source
Axion-scalar systems and dynamical distances
Journal of High Energy PhysicsWe study the cosmology of axion-scalar pairs, coupled by a hyperbolic field space metric and with a string-motivated rational scalar potential. Borrowing tools from the theory of dynamical systems, we are able to classify all late-time trajectories and ...
Thomas W. Grimm +2 more
doaj +1 more source
Counterexample to the Hodge Conjecture
, 2006 We construct a K3 surface whose transcendental lattice has a self-isomorphism which is not a linear combination of self-isomorphisms over $\mathbb{Q}$ which preserve cup products up to nonzero multiples. Products of it with itself give candidates for counterexamples to the Hodge conjecture which may be of interest.
Kim, K. H., Roush, F. W.
openaire +2 more sources
Hodge loci and absolute Hodge classes
, 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
core
Hodge Filtrations on Tempered Hodge Modules
, 2023 We show that the Hodge filtration of a tempered Hodge module is generated by the lowest piece of its Hodge filtration. As a consequence, we prove the main conjecture of [SV] in the special case of tempered representations of real reductive Lie groups ...
Davis, Dougal, Vilonen, Kari
core
Hearing Preservation Rates After Cochlear Implantation Using Soft Surgery Techniques
The Laryngoscope, EarlyView.ABSTRACT Objectives To determine if hearing preservation rates after cochlear implantation varied over time with soft surgery techniques. Methods The hearing preservation rate over time in adult cochlear implant patients over 10 years was analyzed. The association between hearing preservation rate and sex, age, perioperative steroid dose, and type of ...
Tina C. Huang, Scott Lunos
wiley +1 more source
Coniveau and the generalized Hodge conjecture
, 2006 We prove the functorial property of the coniveau filtration by showing that it is preserved by pushforwards and products and strictly preserved by pullbacks.
Kang, Su-Jeong
core
Rationality, universal generation and the integral hodge conjecture
, 2019 We use the universal generation of algebraic cycles to relate (stable) rationality to the integral Hodge conjecture. We show that the Chow group of 1–cycles on a cubic hypersurface is universally generated by lines.
Shen, M.
core +1 more source
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source