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" Conjectures in arithmetic algebraic geometry : "
Wilfred W J Hulsbergen
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BL
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| Record Number
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764347
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b584328
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| Main Entry
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Wilfred W J Hulsbergen
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| Title & Author
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Conjectures in arithmetic algebraic geometry : : a survey.\ Wilfred W J Hulsbergen
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| Edition Statement
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2
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| Publication Statement
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[Place of publication not identified] : Vieweg+Teubner Verlag, 2013
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| ISBN
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3663095053
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: 9783663095057
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| Contents
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1 The zero-dimensional case: number fields.- 2 The one-dimensional case: elliptic curves.- 3 The general formalism of L-functions, Deligne cohomology and Poincare duality theories.- 4 Riemann-Roch, K-theory and motivic cohomology.- 5 Regulators, Deligne's conjecture and Beilinson's first conjecture.- 6 Beilinson's second conjecture.- 7 Arithmetic intersections and Beilinson's third conjecture.- 8 Absolute Hodge cohomology, Hodge and Tate conjectures and Abel-Jacobi maps.- 9 Mixed realizations, mixed motives and Hodge and Tate conjectures for singular varieties.- 10 Examples and Results.- 11 The Bloch-Kato conjecture.
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| LC Classification
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QA242.5W554 2013
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| Added Entry
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Wilfred W J Hulsbergen
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