Language: English
Published by Princeton University Press, 2023
ISBN 10: 0691246815 ISBN 13: 9780691246819
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Language: English
Published by Princeton University Press, 2023
ISBN 10: 0691246807 ISBN 13: 9780691246802
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Published by Princeton University Press, 2023
ISBN 10: 0691246815 ISBN 13: 9780691246819
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Published by Princeton University Press, US, 2023
ISBN 10: 0691246815 ISBN 13: 9780691246819
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Paperback. Condition: New. 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.
Language: English
Published by Princeton University Press, 2023
ISBN 10: 0691246815 ISBN 13: 9780691246819
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Language: English
Published by Princeton University Press, 2023
ISBN 10: 0691246815 ISBN 13: 9780691246819
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Published by Amer Mathematical Society, 2023
ISBN 10: 1470456788 ISBN 13: 9781470456788
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Add to basketPaperback. Condition: Brand New. 240 pages. 9.00x6.00x0.75 inches. In Stock.
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Published by American Mathematical Society, 2023
ISBN 10: 1470456788 ISBN 13: 9781470456788
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Language: English
Published by Princeton University Press, 2023
ISBN 10: 0691246815 ISBN 13: 9780691246819
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Published by Princeton University Press, 2023
ISBN 10: 0691246815 ISBN 13: 9780691246819
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Published by American Mathematical Society, 2023
ISBN 10: 1470456788 ISBN 13: 9781470456788
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Condition: New. 2023. paperback. . . . . . Books ship from the US and Ireland.
Language: English
Published by Amer Mathematical Society, 2023
ISBN 10: 1470456788 ISBN 13: 9781470456788
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Published by Princeton University Press 2023-07-25, 2023
ISBN 10: 0691246815 ISBN 13: 9780691246819
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Published by Amer Mathematical Society, 2023
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Add to basketPaperback. Condition: Brand New. 240 pages. 9.00x6.00x0.75 inches. In Stock.
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Published by Princeton University Press, US, 2023
ISBN 10: 0691246815 ISBN 13: 9780691246819
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Paperback. Condition: New. 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.
Language: English
Published by Princeton University Press, 2023
ISBN 10: 0691246815 ISBN 13: 9780691246819
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Published by Princeton University Press, US, 2023
ISBN 10: 0691246807 ISBN 13: 9780691246802
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Hardback. Condition: New. 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.
Language: English
Published by Princeton University Press, 2023
ISBN 10: 0691246807 ISBN 13: 9780691246802
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Published by Princeton University Press, 2023
ISBN 10: 0691246807 ISBN 13: 9780691246802
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Language: English
Published by Princeton University Press, US, 2023
ISBN 10: 0691246807 ISBN 13: 9780691246802
Seller: Rarewaves USA United, OSWEGO, IL, U.S.A.
Hardback. Condition: New. 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.
Language: English
Published by Princeton University Press, 2023
ISBN 10: 0691246807 ISBN 13: 9780691246802
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Published by Princeton University Press, 2023
ISBN 10: 0691246807 ISBN 13: 9780691246802
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Published by Princeton University Press, 2023
ISBN 10: 0691246807 ISBN 13: 9780691246802
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Add to basketHardcover. Condition: Brand New. 240 pages. 9.50x6.50x0.75 inches. In Stock.
Language: English
Published by Princeton University Press, 2023
ISBN 10: 0691246807 ISBN 13: 9780691246802
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Add to basketHardcover. Condition: Brand New. 240 pages. 9.50x6.50x0.75 inches. In Stock. This item is printed on demand.