派博傳思國際中心

標題: Titlebook: Conjectures in Arithmetic Algebraic Geometry; A Survey Wilfred W. J. Hulsbergen Book 1992 Springer Fachmedien Wiesbaden 1992 Algebra.Arithm [打印本頁]

作者: iniquity    時間: 2025-3-21 19:04
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作者: Pander    時間: 2025-3-21 21:08

作者: 固執(zhí)點好    時間: 2025-3-22 04:10
Conjectures in Arithmetic Algebraic Geometry978-3-322-85466-7Series ISSN 0179-2156
作者: Anticlimax    時間: 2025-3-22 05:02

作者: integral    時間: 2025-3-22 09:29

作者: evince    時間: 2025-3-22 16:31

作者: evince    時間: 2025-3-22 17:34

作者: 公共汽車    時間: 2025-3-23 00:23
Introduction,In this expository paper 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: irreducible    時間: 2025-3-23 01:35

作者: 品牌    時間: 2025-3-23 05:39
Aspects of Mathematicshttp://image.papertrans.cn/c/image/235545.jpg
作者: nocturnal    時間: 2025-3-23 11:37

作者: Jacket    時間: 2025-3-23 15:02

作者: emulsify    時間: 2025-3-23 22:04

作者: indenture    時間: 2025-3-24 01:50
The Explanation of Flow Systems,for Beilinson’s conjectures. These conjectures are then formulated in such a way that they generalize, at the same time, a conjecture of Deligne on the values of L-functions of motives at so-called critical points. We will state the conjectures only for smooth projective varieties defined over the r
作者: FLASK    時間: 2025-3-24 06:03

作者: NAIVE    時間: 2025-3-24 10:03
The Explanation of Network Form,rd conjecture regards this situation for smooth, projective varieties over ., and reduces to a weakened form of the Birch & Swinnerton-Dyer Conjectures in the case of an elliptic curve or an abelian variety over .. The elliptic regulator is generalized to become the determinant of an arithmetic inte
作者: 橫截,橫斷    時間: 2025-3-24 12:37
Transport for the Space Economyight 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: INCUR    時間: 2025-3-24 18:30

作者: 憤憤不平    時間: 2025-3-24 20:06

作者: conception    時間: 2025-3-25 01:44
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: 步履蹣跚    時間: 2025-3-25 04:01
Transport at the Air-Sea Interfacetor. 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: 燒瓶    時間: 2025-3-25 10:45

作者: EVICT    時間: 2025-3-25 15:25
The Explanation of Flow Systems,e values of L-functions of motives at so-called critical points. We will state the conjectures only for smooth projective varieties defined over the rational numbers, but it should be observed that almost everything can be formulated for motives over arbitrary number fields, the statements becoming just more complicated.
作者: 反省    時間: 2025-3-25 17:14
The Explanation of Network Form,ic 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: Mendicant    時間: 2025-3-25 23:47
Transport for the Space Economyr 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 the classical Hodge Conjecture for smooth, projective varieties.
作者: 協(xié)定    時間: 2025-3-26 01:59
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: BYRE    時間: 2025-3-26 08:01

作者: 欄桿    時間: 2025-3-26 09:07
,Regulators, Deligne’s conjecture and Beilinson’s first conjecture,e values of L-functions of motives at so-called critical points. We will state the conjectures only for smooth projective varieties defined over the rational numbers, but it should be observed that almost everything can be formulated for motives over arbitrary number fields, the statements becoming just more complicated.
作者: intention    時間: 2025-3-26 13:08
,Beilinson’s second conjecture,ic 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: Obstreperous    時間: 2025-3-26 19:43
Absolute Hodge cohomology, Hodge and Tate conjectures and Abel-Jacobi maps,r 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 the classical Hodge Conjecture for smooth, projective varieties.
作者: 改變立場    時間: 2025-3-26 23:49
The Explanation of Network Form,rsection 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.
作者: MIRE    時間: 2025-3-27 02:51
,Arithmetic intersections and Beilinson’s third conjecture,rsection 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.
作者: Arboreal    時間: 2025-3-27 05:29
Transport decisions in an age of uncertaintyw 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: Accomplish    時間: 2025-3-27 10:37

作者: Firefly    時間: 2025-3-27 16:20

作者: 犬儒主義者    時間: 2025-3-27 21:03
Examples and Results,occurs: only part of motivic cohomology is useful. This phenomenon was already encountered in the discussion of Ramakrishnan’s result on the regulator map for Hilbert modular surfaces. In the last section a class of varieties is introduced for which the Hodge and Tate Conjectures are true. This result is due to U. Jannsen.
作者: 的闡明    時間: 2025-3-28 00:19
The zero-dimensional case: number fields, Number Formula, one of the highlights of nineteenth century number theory. This formula contains, among other things, an important entity, the regulator. This regulator and its generalizations will play a fundamental role in some of the most intriguing conjectures on L-functions of recent times. Th
作者: ARC    時間: 2025-3-28 05:25

作者: 接觸    時間: 2025-3-28 09:00

作者: 兇殘    時間: 2025-3-28 14:12

作者: 紡織品    時間: 2025-3-28 16:56

作者: 使堅硬    時間: 2025-3-28 21:48
,Arithmetic intersections and Beilinson’s third conjecture,rd conjecture regards this situation for smooth, projective varieties over ., and reduces to a weakened form of the Birch & Swinnerton-Dyer Conjectures in the case of an elliptic curve or an abelian variety over .. The elliptic regulator is generalized to become the determinant of an arithmetic inte
作者: Glutinous    時間: 2025-3-29 00:26
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: 人充滿活力    時間: 2025-3-29 05:50

作者: NOVA    時間: 2025-3-29 10:36
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. Schappacker. The third and fourth sectio
作者: 水汽    時間: 2025-3-29 13:47

作者: 流利圓滑    時間: 2025-3-29 18:10
,R-Calculus for?Simplified Propositional Logics,Assume that the logical language of propositional logic contains three logical symbols: . There is a classical Gentzen deduction system . for propositional logic which is sound and complete with respect to classical semantics (Li .; Mendelson .; Takeuti .).
作者: leniency    時間: 2025-3-29 22:11





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