Results 31 to 40 of about 496,396 (282)

Arithmetic of Calabi-Yau Varieties and Rational Conformal Field Theory [PDF]

, 2001
It is proposed that certain techniques from arithmetic algebraic geometry provide a framework which is useful to formulate a direct and intrinsic link between the geometry of Calabi-Yau manifolds and the underlying conformal field theory. Specifically it
Candelas, de Boer, Deligne, Dwork, Fuchs, Gepner, Kleiman, Lerche, Lynker, Martinec, Rolf Schimmrigk, Schimmrigk, Sinnott, Vafa, Vafa, Weil, Weil   +16 more
core   +2 more sources

Variation of stable birational types in positive characteristic [PDF]

Épijournal de Géométrie Algébrique, 2020
Let k be an uncountable algebraically closed field and let Y be a smooth projective k-variety which does not admit a decomposition of the diagonal. We prove that Y is not stably birational to a very general hypersurface of any given degree and dimension.
Stefan Schreieder
doaj   +1 more source

Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini [PDF]

Épijournal de Géométrie Algébrique, 2022
Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve over a finite field. We study a strong form of the integral Tate conjecture for $1$-cycles on $X$.
Federico Scavia
doaj   +1 more source

M-theory compactifications on hyperbolic spaces [PDF]

, 2007
Negatively-curved, maximally symmetric hyperbolic spaces enjoy a number of remarkable properties that can be traced back to Riemannian geometry, group theory and algebraic geometry.
Orlando, Domenico
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Congruence schemes [PDF]

, 2016
A new category of algebro-geometric objects is defined. This construction is a vast generalization of existing F1-theories, as it contains the the theory of monoid schemes on the one hand and classical algebraic theory, e.g.
ANTON DEITMAR, Deitmar A., Haran M. J. S., Kurokawa N., Soulé C.   +4 more
core   +1 more source

Degree of the Product of Two Algebraic Numbers One of Which Is of Prime Degree

Mathematics, 2023
Let α and β be two algebraic numbers such that deg(α)=m and deg(β)=p, where p is a prime number not dividing m. This research is focused on the following two objectives: to discover new conditions under which deg(αβ)=mp; to determine the complete list of
Paulius Virbalas
doaj   +1 more source

A construction of the polylogarithm motive [PDF]

Épijournal de Géométrie Algébrique
Classical polylogarithms give rise to a variation of mixed Hodge-Tate structures on the punctured projective line $S=\mathbb{P}^1\setminus \{0, 1, \infty\}$, which is an extension of the symmetric power of the Kummer variation by a trivial variation.
Clément Dupont, Javier Fresán
doaj   +1 more source

A Topological Perspective on Interacting Algebraic Theories [PDF]

Electronic Proceedings in Theoretical Computer Science, 2017
Techniques from higher categories and higher-dimensional rewriting are becoming increasingly important for understanding the finer, computational properties of higher algebraic theories that arise, among other fields, in quantum computation.
Amar Hadzihasanovic
doaj   +1 more source

Algebraic structures on graph cohomology [PDF]

, 2005
We define algebraic structures on graph cohomology and prove that they correspond to algebraic structures on the cohomology of the spaces of imbeddings of S^1 or R into R^n.
ALBERTO S. CATTANEO, PAOLO COTTA-RAMUSINO, RICCARDO LONGONI, Tourtchine V.   +3 more
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Quantum algorithms for problems in number theory, algebraic geometry, and group theory

, 2012
Quantum computers can execute algorithms that sometimes dramatically outperform classical computation. Undoubtedly the best-known example of this is Shor's discovery of an efficient quantum algorithm for factoring integers, whereas the same problem ...
Sasaki, Yoshitaka, van Dam, Wim
core   +1 more source