Results 51 to 60 of about 26,779 (258)

Motivic Serre group, algebraic Sato-Tate group and Sato-Tate conjecture

, 2015
We make explicit Serre's generalization of the Sato-Tate conjecture for motives, by expressing the construction in terms of fiber functors from the motivic category of absolute Hodge cycles into a suitable category of Hodge structures of odd weight. This
Banaszak, Grzegorz, Kedlaya, Kiran S.
core   +2 more sources

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

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Pharmacological evaluation of Adenostemma lavenia acetone extract in Swiss Albino mice: Analgesic, anti‐inflammatory, and thrombolytic insights from in vivo, in vitro, density functional theory, and molecular docking studies

Animal Models and Experimental Medicine, EarlyView.
Adenostemma lavenia, a traditionally used medicinal plant, has been employed to manage pain, inflammation, and circulatory issues. This study investigates the analgesic, anti‐inflammatory, and thrombolytic potentials of the acetone extract of A. lavenia leaves (AEAL) using in vivo, in vitro, and in silico methods.
Nusrat Jahan Moon, Mahathir Mohammad, Md. Jahirul Islam Mamun, Fahmina Binty Azim Nova, Nazmul Hasan Eshaque, Md. Hossain Rasel, Zobayed Islam, Md. Mahmudul Hasan, Md. Liakot Ali, Md. Tanvir Chowdhury, S. M. Moazzem Hossen   +10 more
wiley   +1 more source

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

Ontogeny of murine bony semicircular canal form

The Anatomical Record, EarlyView.
Abstract The labyrinthine geometry and functional anatomy of the semicircular canals have intrigued scientists for decades, and there has been considerable interest in understanding how these complex structures grow and develop with evidence emerging from human studies that size maturation occurs exceptionally early by comparison with other systems ...
Marcela Cárdenas‐Serna, Nathan Jeffery   +1 more
wiley   +1 more source

A Hodge Theory-Driven Quantum Mapping Between Calabi-Yau Manifolds and Nuclear Topology: First-Principles Derivation and Experimental Verification [PDF]

Physics Access
This study adopts Hodge theory as a rigorous mathematical framework to construct a quantitative mapping system between the high-dimensional topological invariants of CalabiYau (CY) manifolds and nuclear physics parameters, thereby establishing a strict ...
Yang Ou, Wenming Sun
doaj   +1 more source

Period Mappings and Ampleness of the Hodge line bundle

, 2020
We discuss progress towards a conjectural Hodge theoretic completion of a period map. The completion is defined, and we conjecture that it admits the structure of a compact complex analytic variety.
Green, Mark, Griffiths, Phillip, Laza, Radu, Robles, Colleen   +3 more
core  

Redescription of the Triassic cynodont Cistecynodon parvus and reassessment of its phylogeny

The Anatomical Record, EarlyView.
Abstract Cynodontia is an important subclade of Therapsida that first occurred in the late Permian. It includes extinct subclades which are the non‐mammaliaform cynodonts and Mammaliaformes, with the latter ultimately giving rise to crown mammals. The systematics of non‐mammaliaform cynodonts has been extensively studied and is relatively well‐resolved,
Erin S. Lund, Frederik P. Wolvaardt, Roger M. H. Smith, Jaganmoy Jodder, Julien Benoit   +4 more
wiley   +1 more source