Diophantine Geometry
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Home > Art, Film & Photography > Diophantine Geometry: Faltings' Theorem, Glossary of Arithmetic and Diophantine Geometry, Field of Definition, Principal Homogeneous Space
Diophantine Geometry: Faltings' Theorem, Glossary of Arithmetic and Diophantine Geometry, Field of Definition, Principal Homogeneous Space

Diophantine Geometry: Faltings' Theorem, Glossary of Arithmetic and Diophantine Geometry, Field of Definition, Principal Homogeneous Space


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About the Book

Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Faltings' Theorem, Glossary of Arithmetic and Diophantine Geometry, Field of Definition, Principal Homogeneous Space, Birch and Swinnerton-Dyer Conjecture, Arakelov Theory, Local Zeta-Function, Arithmetic of Abelian Varieties, Thin Set, Chevalley-warning Theorem, Mordell-weil Theorem, Quasi-Algebraically Closed Field, Approximation in Algebraic Groups, Erd s-diophantine Graph, Semistable Abelian Variety, Tate Conjecture, Weil Conjecture on Tamagawa Numbers, Siegel's Lemma, Igusa Zeta-Function, Conductor of an Abelian Variety, Integer Lattice, Severi-Brauer Variety, Fermat Curve, Rational Point, Manin Obstruction, Bogomolov Conjecture, Mazur's Torsion Theorem. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: This is a glossary of arithmetic and Diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of proposed conjectures, which can be related at various levels of generality. Diophantine geometry in general is the study of algebraic varieties V over fields K that are finitely generated over their prime fields including as of special interest number fields and finite fields and over local fields. Of those, only the complex numbers are algebraically closed; over any other K the existence of points of V with co-ordinates in K is something to be proved and studied as an extra topic, even knowing the geometry of V. Arithmetical or arithmetic (algebraic) geometry is a field with a less elementary definition. After the advent of scheme theory it could reasonably be defined as the study of Alexander Grothendieck's schemes of finite type over the spectrum of the ring of integers Z. This point of view has been very influentia...More: http: //booksllc.net/?id=314176


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Product Details
  • ISBN-13: 9781155738758
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 94
  • Spine Width: 6 mm
  • Weight: 150 gr
  • ISBN-10: 1155738756
  • Publisher Date: 14 Sep 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Faltings' Theorem, Glossary of Arithmetic and Diophantine Geometry, Field of Definition, Principal Homogeneous Space
  • Width: 229 mm


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