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標(biāo)題: Titlebook: Conjectures in Arithmetic Algebraic Geometry; A Survey Wilfred W. J. Hulsbergen Textbook 1994Latest edition Springer Fachmedien Wiesbaden 1 [打印本頁]

作者: Retina    時間: 2025-3-21 17:32
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作者: Indecisive    時間: 2025-3-21 20:22

作者: Indelible    時間: 2025-3-22 00:52
,The general formalism of ,-functions, Deligne cohomology and Poincaré duality theories,ures, suggested by the zero- and one-dimensional cases. The main ingredient of this chapter, Deligne-Beilinson cohomology, is introduced, and it can be shown to be a Poincaré duality theory in the sense of Bloch & Ogus. It even satisfies Gillet’s axioms for a generalized Riemann-Roch theorem for hig
作者: 谷物    時間: 2025-3-22 05:50

作者: Antecedent    時間: 2025-3-22 10:43
,Beilinson’s second conjecture, m + 1. This leads to an old conjecture due to J. Tate and generalized by A. Beilinson. For Hilbert modular surfaces D. Ramakrishnan proved that part of motivic cohomology is enough to give a ?-structure on Deligne cohomology with volume (up to a non-zero rational number) equal to the first non-zero
作者: Firefly    時間: 2025-3-22 16:36

作者: Firefly    時間: 2025-3-22 19:43
Absolute Hodge cohomology, Hodge and Tate conjectures and Abel-Jacobi maps,ight filtration. In this way it applies to general schemes over the complex numbers. The relation with motivic cohomology is again given by a regulator map that is conjectured to have dense image, at least for smooth schemes that can be defined over a number field. This conjectured property induces
作者: jocular    時間: 2025-3-22 23:21
Mixed realizations, mixed motives and Hodge and Tate conjectures for singular varieties,ensions of their pure analogues and the corresponding categories should be tannakian. Deligne has suggested a somewhat different definition of mixed motives, but in both Jannsen’s and his conception the fundamental notion has become the realization.
作者: Insatiable    時間: 2025-3-23 05:22
Examples and Results,ant work of B. Gross and D. Zagier on the Birch & Swinnerton-Dyer Conjectures. Next, an overview of Deligne’s Conjecture on the L-function of an algebraic Hecke character is given. This conjecture is now a theorem, due to work of D. Blasius, G. Harder and N. Schappacher. The third and fourth section
作者: Hallmark    時間: 2025-3-23 06:39

作者: Tremor    時間: 2025-3-23 11:47
Mixed realizations, mixed motives and Hodge and Tate conjectures for singular varieties,ensions of their pure analogues and the corresponding categories should be tannakian. Deligne has suggested a somewhat different definition of mixed motives, but in both Jannsen’s and his conception the fundamental notion has become the realization.
作者: Euphonious    時間: 2025-3-23 17:53
Topological Approaches to Network Form,In this expository text we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued mathematicians for a long period of time.
作者: Graduated    時間: 2025-3-23 21:48

作者: 不妥協(xié)    時間: 2025-3-24 00:20
Introduction,In this expository text we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued mathematicians for a long period of time.
作者: conceal    時間: 2025-3-24 04:34

作者: 小鹿    時間: 2025-3-24 10:14

作者: Gratulate    時間: 2025-3-24 14:11

作者: Omniscient    時間: 2025-3-24 17:06

作者: 夜晚    時間: 2025-3-24 21:39
https://doi.org/10.1007/978-3-642-16304-3ensions of their pure analogues and the corresponding categories should be tannakian. Deligne has suggested a somewhat different definition of mixed motives, but in both Jannsen’s and his conception the fundamental notion has become the realization.
作者: 災(zāi)難    時間: 2025-3-24 23:50

作者: overhaul    時間: 2025-3-25 05:54

作者: MAIZE    時間: 2025-3-25 08:01

作者: 確認(rèn)    時間: 2025-3-25 15:22

作者: GRILL    時間: 2025-3-25 17:04

作者: Abnormal    時間: 2025-3-25 19:58

作者: 信條    時間: 2025-3-26 01:38

作者: Graphite    時間: 2025-3-26 04:56
https://doi.org/10.1007/978-3-642-16304-3ensions of their pure analogues and the corresponding categories should be tannakian. Deligne has suggested a somewhat different definition of mixed motives, but in both Jannsen’s and his conception the fundamental notion has become the realization.
作者: OTHER    時間: 2025-3-26 12:17

作者: 收到    時間: 2025-3-26 15:49

作者: galley    時間: 2025-3-26 20:09
Aspects of Mathematicshttp://image.papertrans.cn/c/image/235546.jpg
作者: 類型    時間: 2025-3-26 22:40

作者: 現(xiàn)實    時間: 2025-3-27 01:36
0179-2156 mention the work of E. H~cke, E. Artin, A. Weil and A. Grothendieck with his collaborators. Heeke generalized Dirichlet‘s L-functions to obtain results on the 978-3-663-09507-1978-3-663-09505-7Series ISSN 0179-2156
作者: 耐寒    時間: 2025-3-27 07:34
‘Buses should … inspire writers’ithmetic intersection index on arithmetic varieties on Spec(?), thus enlarging Arakelov’s construction of the Néron-Tate height pairing. This generalized height pairing was constructed by Beilinson and, independently, by Gillet and Soulé. In [Bl4] Bloch defines another height pairing for algebraic c
作者: EXCEL    時間: 2025-3-27 12:16

作者: Innovative    時間: 2025-3-27 16:29
The Explanation of Network Form,w they give rise to some of the most intricate conjectures, the Birch & Swinnerton-Dyer Conjectures, which can be interpreted as the one-dimensional counterpart of Dedekind’s Class Number Formula. Also, more recently, a remarkable relation was found between elliptic curves and Fermat’s Last Theorem.
作者: 召集    時間: 2025-3-27 18:50

作者: Sinus-Node    時間: 2025-3-28 00:51

作者: overshadow    時間: 2025-3-28 05:55
The one-dimensional case: elliptic curves,w they give rise to some of the most intricate conjectures, the Birch & Swinnerton-Dyer Conjectures, which can be interpreted as the one-dimensional counterpart of Dedekind’s Class Number Formula. Also, more recently, a remarkable relation was found between elliptic curves and Fermat’s Last Theorem.
作者: 原諒    時間: 2025-3-28 07:49

作者: 不愿    時間: 2025-3-28 13:35

作者: 使虛弱    時間: 2025-3-28 15:03

作者: 黃瓜    時間: 2025-3-28 18:48
https://doi.org/10.1007/978-1-349-86191-0tor. This regulator and its generalizations will play a fundamental role in some of the most intriguing conjectures on L-functions of recent times. These conjectures, due to A. Beilinson, will be discussed in later chapters.
作者: Cosmopolitan    時間: 2025-3-29 01:17

作者: AMBI    時間: 2025-3-29 03:46

作者: gnarled    時間: 2025-3-29 07:26
Transport in Anion Deficient Fluorite Oxides conjectures about mixed motives. Whereas in the Bloch-Kato conjecture there is still some K-theory, this no longer occurs in the work of Fontaine & Perrin-Riou, except possibly in the ultimate definition of a mixed motive. This remains a serious problem.
作者: Bumptious    時間: 2025-3-29 12:42
,The general formalism of ,-functions, Deligne cohomology and Poincaré duality theories,her algebraic K-theory. Such a (co)homology theory has the right properties to admit a formalism of characteristic classes which will generalize the classical regulator. This will be further explained in the next chapter.
作者: 有特色    時間: 2025-3-29 17:06

作者: 紅腫    時間: 2025-3-29 21:08
The zero-dimensional case: number fields,tor. This regulator and its generalizations will play a fundamental role in some of the most intriguing conjectures on L-functions of recent times. These conjectures, due to A. Beilinson, will be discussed in later chapters.
作者: 細胞    時間: 2025-3-30 03:07
,Beilinson’s second conjecture,of motivic cohomology is enough to give a ?-structure on Deligne cohomology with volume (up to a non-zero rational number) equal to the first non-zero coefficient of the Taylor series expansion of the L-function at s = m. This seems to be a general phenomenon.
作者: 損壞    時間: 2025-3-30 07:34





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