Results 11 to 20 of about 28,455,638 (326)
ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD
Forum of Mathematics, Sigma, 2013 Hassett and Tschinkel gave counterexamples to the integral Hodge conjecture among 3-folds over a number field. We work out their method in detail, showing that essentially all known counterexamples to the integral Hodge conjecture over the complex ...
BURT TOTARO
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Globally Consistent Normal Orientation for Point Clouds by Regularizing the Winding-Number Field [PDF]
ACM Transactions on Graphics, 2023 Estimating normals with globally consistent orientations for a raw point cloud has many downstream geometry processing applications. Despite tremendous efforts in the past decades, it remains challenging to deal with an unoriented point cloud with ...
Rui Xu +8 more
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A lower bound for the rank of a universal quadratic form with integer coefficients in a totally real number field [PDF]
Commentarii Mathematici Helvetici, 2018 We show that if $K$ is a monogenic, primitive, totally real number field, that contains units of every signature, then there exists a lower bound for the rank of integer universal quadratic forms defined over $K$.
Pavlo Yatsyna
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3-Isogeny Selmer groups and ranks of Abelian varieties in quadratic twist families over a number field [PDF]
Duke mathematical journal, 2017 For an abelian variety $A$ over a number field $F$, we prove that the average rank of the quadratic twists of $A$ is bounded, under the assumption that the multiplication-by-3 isogeny on $A$ factors as a composition of 3-isogenies over $F$.
M. Bhargava +3 more
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Compact 3D Gaussian Representation for Radiance Field [PDF]
Computer Vision and Pattern Recognition, 2023 Neural Radiance Fields (NeRFs) have demonstrated re-markable potential in capturing complex 3D scenes with high fidelity. However, one persistent challenge that hin-ders the widespread adoption of NeRFs is the computational bottleneck due to the ...
J. Lee +4 more
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Real quadratic number fields with metacyclic Hilbert $2$-class field tower [PDF]
Mathematica Bohemica, 2019 We begin by giving a criterion for a number field $K$ with 2-class group of rank 2 to have a metacyclic Hilbert 2-class field tower, and then we will determine all real quadratic number fields $\mathbb Q(\sqrt d)$ that have a metacyclic nonabelian ...
Said Essahel, Ahmed Dakkak, Ali Mouhib
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, 2023 Number Fields is a textbook for algebraic number theory. It grew out of lecture notes of master courses taught by the author at Radboud University, the Netherlands, over a period of more than four decades. It is self-contained in the sense that it uses only mathematics of a bachelor level, including some Galois theory.
openaire +1 more source
Improvements to the number field sieve for non-prime finite fields [PDF]
arXiv.org, 2014 We propose various strategies for improving the computation of discrete logarithms in non-prime fields of medium to large characteristic using the Number Field Sieve.
R. Barbulescu +3 more
semanticscholar +1 more source
Global Ecology and Conservation, 2019 Spatial priority areas for individual and multiple hydrological ecosystem services with economic costs across watershed through systematic conservation model represent a significant step toward cost-effective, transparent allocation of resources for ...
Min Fan, Wei Ou, Li Chen
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Natural convection in an enclosure with a pair of cylinders under magnetic field
Case Studies in Thermal Engineering, 2022 This two-dimensional numerical study investigates magnetohydrodynamic unsteady natural convection heat transfer inside an enclosure with two heated circular cylinders within it in the horizontal mid-plane. The fluid is incompressible and Newtonian.
Gopal Chandra Pal +4 more
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