使虚弱 发表于 2025-3-28 15:03:17

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黄瓜 发表于 2025-3-28 18:48:58

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.

Cosmopolitan 发表于 2025-3-29 01:17:08

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AMBI 发表于 2025-3-29 03:46:06

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gnarled 发表于 2025-3-29 07:26:53

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.

Bumptious 发表于 2025-3-29 12:42:07

,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.

有特色 发表于 2025-3-29 17:06:44

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红肿 发表于 2025-3-29 21:08:46

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.

细胞 发表于 2025-3-30 03:07:01

,Beilinson’s second conjecture,of motivic cohomology is enough to give a ℚ-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.

损坏 发表于 2025-3-30 07:34:57

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查看完整版本: Titlebook: Conjectures in Arithmetic Algebraic Geometry; A Survey Wilfred W. J. Hulsbergen Textbook 1994Latest edition Springer Fachmedien Wiesbaden 1