Results 11 to 20 of about 123,228 (271)
The Cubic Polynomial Differential Systems with two Circles as Algebraic Limit Cycles
Advanced Nonlinear Studies, 2018 In this paper we characterize all cubic polynomial differential systems in the plane having two circles as invariant algebraic limit cycles.
Giné Jaume, Llibre Jaume, Valls Claudia
doaj +2 more sources
Torsion algebraic cycles and étale cobordism
Advances in Mathematics, 2011 Following an idea of Totaro, we prove that the classical integral cycle class map from algebraic cycles to tale cohomology factors through a quotient of $\ell$-adic tale cobordism over an algebraically closed field of positive characteristic. This shows that there is a strong topological obstruction for cohomology classes to be algebraic and that ...
Gereon Quick
openaire +5 more sources
Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis 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 ...
Ren Y, Wei GW.
europepmc +2 more sources
G 4 flux, algebraic cycles and complex structure moduli stabilization
Journal of High Energy Physics, 2021 We construct G 4 fluxes that stabilize all of the 426 complex structure moduli of the sextic Calabi-Yau fourfold at the Fermat point. Studying flux stabilization usually requires solving Picard-Fuchs equations, which becomes unfeasible for models with ...
A. P. Braun, R. Valandro
doaj +1 more source
Super Landau-Ginzburg mirrors and algebraic cycles [PDF]
, 2011 We investigate the super Landau-Ginzburg mirrors of gauged linear sigma models which, in an appropriate low energy limit, reduce to nonlinear sigma models with Kaehler supermanifold target spaces of nonnegative super-first Chern class.Comment: 29 pages ...
A Ludmil Katzarkov +4 more
core +2 more sources
Mixed motives and algebraic cycles III [PDF]
Mathematical Research Letters, 1995 For part I see M. Hanamura, Math. Res. Lett. 2, No. 6, 811-821 (1995; Zbl 0867.14003). In this third part of the author's series of articles on mixed motives and algebraic cycles, the author applies his previous constructions to another crucial conjecture in the theory of motives, namely to the conjecture of the existence of the so-called ``abelian ...
openaire +4 more sources
Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models
Cubo, 2021 We prove that for certain polynomial differential equations in the plane arising from predator-prey type III models with generalized rational functional response, any algebraic solution should be a rational function. As a consequence, limit cycles, which
Homero G. Díaz-Marín, Osvaldo Osuna
doaj +1 more source
Algebraic cycles and local anomalies in F-theory
Journal of High Energy Physics, 2017 We introduce a set of identities in the cohomology ring of elliptic fibrations which are equivalent to the cancellation of gauge and mixed gauge-gravitational anomalies in F-theory compactifications to four and six dimensions.
Martin Bies +2 more
doaj +1 more source
Using SAT Solvers to Finding Short Cycles in Cryptographic Algorithms [PDF]
International Journal of Electronics and Telecommunications, 2020 A desirable property of iterated cryptographic algorithms, such as stream ciphers or pseudo-random generators, is the lack of short cycles. Many of the previously mentioned algorithms are based on the use of linear feedback shift registers (LFSR) and ...
Władysław Dudzic, Krzysztof Kanciak
doaj +1 more source
Algebraic cycles and approximation theorems in real algebraic geometry [PDF]
Transactions of the American Mathematical Society, 1993 Let \(M\) be a compact orientable smooth manifold of dimension \(\geq 5\). This paper shows which subgroups \(G \subset H_ 2 (M, {\mathbf Z}/2)\) can possibly be the subgroup of two dimensional algebraic cycles in an algebraic model of \(M\). It shows that the possible \(G\)'s are exactly those containing the Poincaré dual of the second Stieffel ...
Bochnak, J., Kucharz, W.
openaire +1 more source