Algebraic cycles and the classical groups. I: real cycles
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
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Weil transfer of algebraic cycles
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Karpenko, Nikita A
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
This 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
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
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A survey on algebraic and explicit non-algebraic limit cycles in planar differential systems [PDF]
In the qualitative theory of differential equations in the plane one of the most difficult objects to study is the existence of limit cycles. There are many papers dedicated to this subject. Here we will present a survey mainly dedicated to the algebraic
Llibre, Jaume, Zhang, X.
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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
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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
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Hodge theory and algebraic cycles
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
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Algebraic limit cycles in piecewise linear differential systems [PDF]
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some 1-parameter families with a saddle ...
Buzzi, Claudio A. [UNESP] +6 more
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A stress‐normalised sensitivity metric (S = G/Y) is introduced as a materials‐level benchmark for intrinsically piezoresistive nanocomposites. By decoupling electromechanical response (G) from stiffness (Y), the framework enables direct comparison across diverse systems and clarifies design trade‐offs for wearable sensors.
Conor S. Boland
wiley +1 more source

