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Chow Rings Decomposition of the Diagonal and the Topology of Families by Claire Voisin, Paperback | Indigo Chapters

Compare Chow Rings Decomposition of the Diagonal and the Topology of Families by Claire Voisin, Paperback | Indigo Chapters

Claire Voisin

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In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a variety-and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups-as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by Voisin looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others. | Chow Rings Decomposition of the Diagonal and the Topology of Families by Claire Voisin, Paperback | Indigo Chapters

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Chow Rings Decomposition of the Diagonal and the Topology of Families by Claire Voisin, Paperback | Indigo Chapters
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Chow Rings Decomposition of the Diagonal and the Topology of Families by Claire Voisin, Paperback | Indigo Chapters

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Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin, Paperback | Indigo Chapters
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Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin, Paperback | Indigo Chapters

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Hodge Theory and Complex Algebraic Geometry II: Volume 2 by Claire Voisin, Paperback | Indigo Chapters
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Hodge Theory and Complex Algebraic Geometry II: Volume 2 by Claire Voisin, Paperback | Indigo Chapters

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Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin, Paperback | Indigo Chapters
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Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin, Paperback | Indigo Chapters

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Hodge Theory and Complex Algebraic Geometry II: Volume 2 by Claire Voisin, Paperback | Indigo Chapters
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Hodge Theory and Complex Algebraic Geometry II: Volume 2 by Claire Voisin, Paperback | Indigo Chapters

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Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin, Hardcover | Indigo Chapters
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Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin, Hardcover | Indigo Chapters

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Hodge Theory and Complex Algebraic Geometry II: Volume 2 by Claire Voisin, Hardcover | Indigo Chapters
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Hodge Theory and Complex Algebraic Geometry II: Volume 2 by Claire Voisin, Hardcover | Indigo Chapters

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Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin, Hardcover | Indigo Chapters
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Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin, Hardcover | Indigo Chapters

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Hodge Theory and Complex Algebraic Geometry II: Volume 2 by Claire Voisin, Hardcover | Indigo Chapters
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Hodge Theory and Complex Algebraic Geometry II: Volume 2 by Claire Voisin, Hardcover | Indigo Chapters

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America The Beautiful And Violent by Dexter Voisin, Paperback | Indigo Chapters
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Le Canal De Suez Volume 5 by François Philippe Voisin, Paperback | Indigo Chapters
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Le Canal De Suez Volume 5 by François Philippe Voisin, Paperback | Indigo Chapters
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De L'Hématocèle Rétro-Utérine et des Épanchements Sanguins non Enkystés by Auguste Voisin, Paperback | Indigo Chapters
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De L'Hématocèle Rétro-Utérine et des Épanchements Sanguins non Enkystés by Auguste Voisin, Paperback | Indigo Chapters

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De L'Hématocèle Rétro-Utérine et des Épanchements Sanguins non Enkystés by Auguste Voisin, Paperback | Indigo Chapters
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De L'Hématocèle Rétro-Utérine et des Épanchements Sanguins non Enkystés by Auguste Voisin, Paperback | Indigo Chapters

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