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Titlebook: Arithmetic Algebraic Geometry; G. Geer,F. Oort,J. Steenbrink Book 1991 Springer Science+Business Media New York 1991 Algebraic K-theory.Ar

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期刊全稱Arithmetic Algebraic Geometry
影響因子2023G. Geer,F. Oort,J. Steenbrink
視頻videohttp://file.papertrans.cn/162/161591/161591.mp4
學(xué)科分類Progress in Mathematics
圖書(shū)封面Titlebook: Arithmetic Algebraic Geometry;  G. Geer,F. Oort,J. Steenbrink Book 1991 Springer Science+Business Media New York 1991 Algebraic K-theory.Ar
影響因子.Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps...Inspired by these exciting developments, the editors organized a meeting at Texel in 1989 and invited a number of mathematicians to write papers for this volume. Some of these papers were presented at the meeting; others arose from the discussions that took place. They were all chosen for their quality and relevance to the application of algebraic geometry to arithmetic problems...Topics include: arithmetic surfaces, Chjerm functors, modular curves and modular varieties, elliptic curves, Kolyvagin’s work, K-theory and Galois representations. Besides the research papers, there is a letter of Parshin and a paper of Zagier with is i
Pindex Book 1991
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Journeys through Changing Practice existence of an algebraic cycle . on . × . inducing the injection of Galois representations ..(.) → ..(.). Using explicit equations, J. Stienstra found a dominant rational map X → V whose graph gives the desired cycle. In this paper we give in fact an isomorphism of stacks (cf. Cor 2.10) which also
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Polylogarithms, Dedekind Zeta Functions, and the Algebraic ,-Theory of Fields,= .. + .. and .. in the standard notation) give the dimensions of the (+1)- and (? l)-eigenspaces of complex conjugation on .. These invariants are in turn determined by ζ.(.) via its functional equation ..
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Circular Motion by Video Analysis,braic geometry. The importance of this development lies not only in its direct results (like the proof of the Mordell Conjecture), but also in the link it establishes between number theory and complex analytic geometry.
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