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Algebraic Cycles and Motives

2007
Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity.
Jan Nagel, Chris Peters
openaire   +2 more sources

Families of Algebraic Cycles

1984
If T is a non-singular curve, and p: S → is a morphism, any (k+ 1)-cycle \( \alpha = \sum {n_i}\left[ {{\mathfrak{F}_i}} \right] \) On S determines an algebraic family of k-cycles αt, on the fibres Y t =P -1 (t): $$ {\alpha _t} = \begin{array}{*{20}{c}} \sum \\ {{\gamma _i}} \end{array}{n_i}\left[ {{{\left( {{V_i}} \right)}_t}} \right] $$
openaire   +2 more sources

Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic 𝐾-theory

, 2013
We develop differential algebraic K-theory for rings of integers in number fields and we construct a cycle map from geometrized bundles of modules over such a ring to the differential algebraic K-theory.
U. Bunke, David Gepner
semanticscholar   +1 more source

Modeling the performance of an algebraic multigrid cycle on HPC platforms

International Conference on Supercomputing, 2011
Hormozd Gahvari   +5 more
semanticscholar   +1 more source

Algebraic Frames for the Perception-Action Cycle

Lecture Notes in Computer Science, 2000
G. Sommer, Y. Zeevi
semanticscholar   +1 more source

Maximizing Algebraic Connectivity in the Space of Graphs With a Fixed Number of Vertices and Edges

IEEE Transactions on Control of Network Systems, 2017
K. Ogiwara   +2 more
semanticscholar   +1 more source

The detection and stabilisation of limit cycle for deterministic finite automata

International Journal of Control, 2018
Xiaoguang Han   +3 more
semanticscholar   +1 more source

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