What Determines an Algebraic Variety?: (AMS-216) (Annals of Mathematics Studies, 216) - Softcover
- PublisherPrinceton University Press
- Publication date2023
- ISBN 10 0691246815
- ISBN 13 9780691246819
- BindingPaperback
- Number of pages240
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What Determines an Algebraic Variety? : Ams-216
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What Determines an Algebraic Variety?
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What Determines an Algebraic Variety?: (AMS-216) (Annals of Mathematics Studies, 216) by Kollár, János, Lieblich, Max, Olsson, Martin, Sawin, Will [Paperback ]
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What Determines an Algebraic Variety?: (AMS-216)
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What Determines an Algebraic Variety?
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What Determines an Algebraic Variety? : Ams-216
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What Determines an Algebraic Variety?: (AMS-216) (Annals of Mathematics Studies, 216)
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ISBN 13: 9780691246819
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What Determines an Algebraic Variety?
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(2023)
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ISBN 13: 9780691246819
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What Determines an Algebraic Variety? (Paperback)
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Book Description Paperback. Condition: new. Paperback. A pioneering new nonlinear approach to a fundamental question in algebraic geometryOne of the crowning achievements of nineteenth-century mathematics was the proof that the geometry of lines in space uniquely determines the Cartesian coordinates, up to a linear ambiguity. What Determines an Algebraic Variety? develops a nonlinear version of this theory, offering the first nonlinear generalization of the seminal work of Veblen and Young in a century. While the book uses cutting-edge techniques, the statements of its theorems would have been understandable a century ago; despite this, the results are totally unexpected. Putting geometry first in algebraic geometry, the book provides a new perspective on a classical theorem of fundamental importance to a wide range of fields in mathematics.Starting with basic observations, the book shows how to read off various properties of a variety from its geometry. The results get stronger as the dimension increases. The main result then says that a normal projective variety of dimension at least 4 over a field of characteristic 0 is completely determined by its Zariski topological space. There are many open questions in dimensions 2 and 3, and in positive characteristic. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780691246819
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What Determines an Algebraic Variety?: (AMS-216) (Annals of Mathematics Studies, 216)
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Princeton University Press
(2023)
ISBN 10: 0691246815
ISBN 13: 9780691246819
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