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Lectures on Algebraic Cycles and Chow Groups
, 2017 This chapter showcases five lectures on algebraic cycles and Chow groups. The first two lectures are over an arbitrary field, where they examine algebraic cycles, Chow groups, and equivalence relations.
Jacob Murre
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Descent of algebraic cycles [PDF]
Homology, Homotopy and Applications, 2017 We characterize universally generalizing morphisms which satisfy descent of algebraic cycles integrally as those universally generalizing morphisms which are surjective with generically reduced fibres. In doing so, we introduce a naive pull-back of cycles for arbitrary morphisms between noetherian schemes, which generalizes the classical pull-back for ...
openaire +2 more sources
Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
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Uniqueness of Algebraic Limit Cycles for Quadratic Systems
, 2001 We know five different families of algebraic limit cycles in quadratic systems, one of degree 2 and four of degree 4. Moreover, if there are other families of algebraic limit cycles for quadratic systems, then their degrees must be larger than 4.
Llibre, Jaume +2 more
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SPICE‐Compatible Compact Modeling of Cuprate‐Based Memristors Across a Wide Temperature Range
Advanced Electronic Materials, EarlyView.A physics‐guided compact model for YBCO memristors is introduced, incorporating carrier trapping, field‐induced detrapping, and a differential balance equation to describe their switching dynamics. The model is compared with experiments and implemented in LTspice, allowing realistic circuit‐level simulations.
Thomas Günkel +6 more
wiley +1 more source
Non-nested configuration of algebraic limit cycles in quadratic systems
, 2006 This work deals with algebraic limit cycles of planar polynomial differential systems of degree two. More concretely, we show among other facts that a quadratic vector field cannot possess two non-nested algebraic limit cycles contained in different ...
García, I.A. +2 more
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Polynomial differential systems with explicit non-algebraic limit cycles [PDF]
, 2012 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 ...
Jaume Llibre +3 more
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Design of Experiments and Algebraic Cycles
Journal of UOEH, 1983 It is well-known that balanced incomplete block designs are closely connected with finite geometry. A block design can be obtained by identifying rational points of an algebraic variety with treatments. The number of GF(qs)-rational points follows from the theory of étale cohomologies.
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The Algebra of Mirkovic-Vilonen Cycles in Type A [PDF]
Pure and Applied Mathematics Quarterly, 2006 Let Gr be the affine Grassmannian for a connected complex reductive group G. Let C_G be the complex vector space spanned by (equivalence classes of) Mirkovic-Vilonen cycles in Gr. The Beilinson-Drinfeld Grassmannian can be used to define a convolution product on MV-cycles, making C_G into a commutative algebra.
Anderson, Jared E., Kogan, Mikhail
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AIChE Journal, EarlyView.Abstract Electrification of distillation offers a promising route to reducing scope‐1 emissions from one of the chemical industry's most energy‐intensive unit operations. However, conventional adiabatic columns are dynamically inflexible: Long, energy‐intensive start‐ups make shutdown and restart impractical under variable electricity prices and ...
Samuel Mercer, Michael Baldea
wiley +1 more source