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Algebraic Cycles and Motives

of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives, finite;

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Algebraic Cycles and Motives

study of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives;

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Lectures On Algebraic Cycles

, yet they have remained influential and are still the best place to learn the guiding philosophy of algebraic cycles and motives. This edition;

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Transcendental Aspects of Algebraic Cycles

)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. Among the topics treated are: cycle spaces, Chow topology;

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Motives, Part 2

, polylogarithms, automorphic forms, $L$-functions, $ell$-adic representations, trigonometric sums, and algebraic cycles - have discovered that an enlarged;

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Number Theory and Algebraic Geometry

principle, Shafarevich-Tate groups of elliptic curves and motives, Zagier's conjectures, descent and zero-cycles, Diophantine approximation, and;

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Algebraic Cycles and Hodge Theory: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Torino, Italy,

The main goal of the CIME Summer School on Algebraic Cycles and Hodge Theory has been to gather the most active mathematicians in this;

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On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)

first cohomology group. Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The;

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K-Theory

formed important sub-streams in this colloquium. Several branches of $K$-theory, like algebraic cycles, triangulated categories of motives;

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Hodge Theory and Complex Algebraic Geometry II

. The last part of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example;

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Hodge Theory and Complex Algebraic Geometry II

part of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on;

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Group Cohomology & Algebraic Cycles

of group cohomology and algebraic cycles. Early chapters synthesize background material from topology, algebraic geometry, and commutative algebra;

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The Geometry of Algebraic Cycles

Examines algebraic cyclesand the impact they have had on a variety of fields of mathematics, including number theory, algebraic geometry;

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Iterated Integrals And Cycles On Algebraic Manifolds

algebraic cycles and the Abel-Jacobi homomorphism. Finally, he presents a more general point of view relating Chen's integrals to a generalization;

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Hodge Theory (MN-49)

of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch;

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Polynomials And Vanishing Cycles

The behaviour of vanishing cycles is the cornerstone for understanding the geometry and topology of families of hypersurfaces, usually;

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Feynman Motives

integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods. One of the main questions in the;

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Feynman Motives

integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods. One of the main questions in the;

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Surveys in Differential Geometry Vol II

This collection of essays on differential geometry includes: the formation of singularities; spaces of algebraic cycles; rational points;

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Mixed Motives

This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit;

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Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015

they have strong links with modern notions such as moduli spaces, Hodge theory, algebraic cycles and derived categories. This text is aimed at;

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Cycles, Transfers, and Motivic Homology Theories. (AM-143), Volume 143

is to contribute to our understanding of various properties of algebraic cycles. The material presented provides the foundations for the recent;

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Recent Advances in Hodge Theory

draws together new developments in deformation theory, mirror symmetry, Galois representations, iterated integrals, algebraic cycles and the;

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Homology Theory on Algebraic Varieties

given here were first formulated by Lefschetz and have since turned out to be of fundamental importance in the topological aspects of algebraic;

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Introduction to Toric Varieties. (AM-131), Volume 131

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean;

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Triangulated Categories of Mixed Motives

The primary aim of this monograph is to achieve part of Beilinson's program on mixed motives using Voevodsky's theories of A1-homotopy and;

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Lecture Notes on Motivic Cohomology

cohomology theories in Algebraic Geometry. We now know that there is a triangulated theory of motives, discovered by Vladimir Voevodsky, which;

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