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Year: 1886 Publisher: Paris : Dunod :,
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ISBN: 1108998194 1108991440 Year: 2022 Publisher: Cambridge : Cambridge University Press,
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The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following the papers of Bombieri and Vojta. Also acting as a concise introduction to Diophantine geometry, the text starts from basics of algebraic number theory, touches on several important theorems and techniques (including the theory of heights, the Mordell-Weil theorem, Siegel's lemma and Roth's lemma) from Diophantine geometry, and culminates in the proof of the Mordell conjecture. Based on the authors' own teaching experience, it will be of great value to advanced undergraduate and graduate students in algebraic geometry and number theory, as well as researchers interested in Diophantine geometry as a whole.
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ISBN: 9783031087059 Year: 2022 Publisher: Cham Springer International Publishing :Imprint: Birkhäuser
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Corbes --- Corbes algebraiques --- Càlcul --- Geometria analítica --- Geometria diferencial --- Geometria enumerativa --- Corbes planes --- Corbes sobre superfícies --- Envolupants (Geometria) --- Curvatura --- Quaternions --- Corbes algèbriques --- Corbes el·líptiques --- Corbes modulars --- Corbes quàrtiques --- Geometria algebraica --- Curves, Algebraic. --- Curves, Algebraic --- Data processing. --- Algebraic curves --- Algebraic varieties
Book
ISBN: 3031087046 3031087054 Year: 2022 Publisher: Cham, Switzerland : Springer International Publishing,
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Curves, Algebraic. --- Curves, Algebraic --- Data processing. --- Algebraic curves --- Algebraic varieties --- Corbes --- Corbes algebraiques --- Corbes algèbriques --- Corbes el·líptiques --- Corbes modulars --- Corbes quàrtiques --- Geometria algebraica --- Càlcul --- Geometria analítica --- Geometria diferencial --- Geometria enumerativa --- Corbes planes --- Corbes sobre superfícies --- Envolupants (Geometria) --- Curvatura --- Quaternions
Book
ISBN: 9789811910968 Year: 2022 Publisher: Singapore Springer Nature Singapore :Imprint: Springer
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Corbes algebraiques --- Categories abelianes --- Corbes el·líptiques --- Corbes modulars --- Corbes quàrtiques --- Geometria algebraica --- Corbes algèbriques --- Categories (Matemàtica) --- Abelian categories. --- Curves, Algebraic. --- Algebraic curves --- Algebraic varieties --- Categories (Mathematics)
Book
ISBN: 3658345292 3658345284 Year: 2021 Publisher: Wiesbaden : Springer Fachmedien Wiesbaden GmbH,
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Formes modulars --- Formes (Matemàtica) --- Corbes modulars --- Formes de Jacobi
Book
ISBN: 3031242556 3031242548 Year: 2023 Publisher: Cham, Switzerland : Springer, Springer Nature Switzerland AG,
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Curves. --- Manifolds (Mathematics) --- Subharmonic functions. --- Funcions harmòniques --- Varietats (Matemàtica) --- Corbes
Book
ISBN: 9811910952 9811910960 Year: 2022 Publisher: Gateway East, Singapore : Springer,
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Abelian categories. --- Curves, Algebraic. --- Algebraic curves --- Algebraic varieties --- Categories (Mathematics) --- Corbes algebraiques --- Categories abelianes
Book
ISBN: 3031101456 3031101448 Year: 2022 Publisher: Cham, Switzerland : Springer,
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Curves, Algebraic. --- Corbes algebraiques --- Geometria algebraica --- Algebraic curves --- Algebraic varieties --- Geometria algèbrica --- Geometria --- Anàlisi p-àdica --- Cicles algebraics --- Espais algebraics --- Esquemes (Geometria algebraica) --- Esquemes de grups (Matemàtica) --- Geometria algebraica aritmètica --- Grups algebraics lineals --- Geometria analítica --- Geometria biracional --- Geometria enumerativa --- Geometria tropical --- Homologia --- Singularitats (Matemàtica) --- Superfícies algebraiques --- Teoria de mòduls --- Teoria de la intersecció --- Teoria de Hodge --- Varietats abelianes --- Varietats algebraiques --- Funcions abelianes --- Corbes algèbriques --- Corbes el·líptiques --- Corbes modulars --- Corbes quàrtiques
Book
ISBN: 3031075315 3031075307 Year: 2022 Publisher: Cham, Switzerland : Springer,
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Quaternions --- Àlgebra universal --- Cinemàtica --- Corbes --- Superfícies (Matemàtica) --- Anàlisi vectorial --- Nombres complexos --- Functions, Quaternion. --- Quaternion functions --- Functions of complex variables
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