Algebraic cycles and the classical groups. I: real cycles [PDF]
The authors study the groups \({\mathcal Z}_{\mathbb R}^{q}({\mathbb P}(V))\) of real algebraic cycles on a complex projective space \({\mathbb P}(V)\). ``Real'' means here the cycles that are fixed by the Galois group \({\mathcal Gal}({\mathbb C}/{\mathbb R})\). In his thesis \textit{T.-K. Lam} [``Spaces of real algebraic cycles and homotopy theory'',
Lawson, H.Blaine +2 more
openaire +3 more sources
Polynomial differential systems with explicit non-algebraic limit cycles [PDF]
Up to now all the examples of polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree at most 5. Here we show that already there are polynomial differential systems of degree at least exhibiting explicit ...
Rebiha Benterki, Jaume Llibre
doaj +2 more sources
Number of limit cycles for planar systems with invariant algebraic curves [PDF]
Altres ajuts: acords transformatius de la UABFor planar polynomials systems the existence of an invariant algebraic curve limits the number of limit cycles not contained in this curve.
Gasull, Armengol, Giacomini, Hector
core +1 more source
A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations [PDF]
A general numerical technique is proposed for the assessment of the stability of periodic solutions and the determination of bifurcations for limit cycles in autonomous nonlinear systems represented by ordinary differential equations in the differential ...
Bonani, Fabrizio +3 more
core +1 more source
G 4 flux, algebraic cycles and complex structure moduli stabilization
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
The Arithmetic and Geometry of a Class of Algebraic Surfaces of General Type and Geometric Genus One [PDF]
We study of a class of algebraic surfaces of general type and geometric genus one, with a view toward arithmetic results. These surfaces, called CC surfaces here, have been classified over the complex numbers by Catanese and Ciliberto.
Lyons, Christopher Michael
core +1 more source
Algebraic entropy for algebraic maps [PDF]
We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map.
Hone, A. N. W. +4 more
core +1 more source
Hodge theory and algebraic cycles [PDF]
This thesis tackles different problems related to the connection between geometric and Hodge theoretic aspects of algebraic varieties. One of the main results, joint with Stefan Schreieder and Remy van Dobben de Bruyn, concerns the construction ...
Paulsen, Matthias Christoph Bernhard
core +1 more source
Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models
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
Mixed motives and algebraic cycles III [PDF]
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

