Results 11 to 20 of about 152,344 (258)
Properness of the global-to-local map for algebraic groups with toric connected component and other finiteness properties [PDF]
Mathematical Research Letters, 2021 This is a companion paper to our previous work, where we proved the finiteness of the Tate-Shafarevich group for an arbitrary torus $T$ over a finitely generated field $K$ with respect to any divisorial set $V$ of places of $K$.
A. Rapinchuk, I. Rapinchuk
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Operator index of a nonsingular algebraic curve
Turkish Journal of Mathematics, 2023 : The present paper is devoted to a scheme-theoretic analog of the Fredholm theory. The continuity of the index function over the coordinate ring of an algebraic variety is investigated.
A. Dosi
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Arab Journal of Basic and Applied Sciences, 2021 Numerical solutions to differential and integral equations have been a very active field of research. The necessary tools to solving differential equations can add much fuel for acceleration of scientific development.
Hajra Zeb +3 more
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Equidistribution of dynamically small subvarieties over the function field of a curve [PDF]
, 2008 For a projective variety X defined over a field K, there is a special class of self-morphisms of X called algebraic dynamical systems. In this paper we take K to be the function field of a smooth curve and prove that at each place of K, subvarieties of X
X. Faber
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Local to global principles for homomorphisms of abelian schemes [PDF]
Israel Journal of Mathematics, 2022 Let A and B be abelian varieties defined over the function field k(S) of a smooth algebraic variety S/k. We establish criteria, in terms of restriction maps to subvarieties of S, for existence of various important classes of k(S)-homomorphisms from A to ...
W. Gajda, Sebastian Petersen
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Geometric rank of tensors and subrank of matrix multiplication
Discrete Analysis, 2023 Geometric rank of tensors and subrank of matrix multiplication, Discrete Analysis 2023:1, 25 pp. The rank of a matrix is a parameter of obvious importance, so it is natural to wonder what the right definition is for the rank of a higher-dimensional ...
Swastik Kopparty +2 more
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Interacting quintessence from a variational approach. I. Algebraic couplings [PDF]
, 2015 We present a new approach to build models of quintessence interacting with dark or baryonic matter. We use a variational approach for relativistic fluids to realize an effective description of matter fields at the Lagrangian level.
C. Boehmer, N. Tamanini, M. Wright
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The elementary obstruction and homogeneous spaces [PDF]
, 2008 Let $k$ be a field of characteristic zero and ${\bar k}$ an algebraic closure of $k$. For a geometrically integral variety $X$ over $k$, we write ${\bar k}(X)$ for the function field of ${\bar X}=X\times_k{\bar k}$.
Borovoi, M. +2 more
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Structure vs Randomness for Bilinear Maps
Discrete Analysis, 2022 Structure vs randomness for bilinear maps, Discrete Analysis 2022:12, 21 pp. A _tensor_ can be thought of as a higher-dimensional analogue of a matrix (where a matrix is 2-dimensional).
Guy Moshkovitz, Alex Cohen
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The Bogomolov conjecture for totally degenerate abelian varieties [PDF]
, 2006 We prove the Bogomolov conjecture for an abelian variety A over a function field which is totally degenerate at a place v. We adapt Zhang's proof of the number field case replacing the complex analytic tools by tropical analytic geometry.
Gubler, Walter
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