Aggressive 发表于 2025-3-26 22:04:46

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theta-waves 发表于 2025-3-27 02:56:52

The Base Change Conductor and the Artin ConductorIn this chapter, we assume that . is algebraically closed. We will compare the base change conductor of the Jacobian variety of a .-curve . to the Artin conductor of . and other invariants of the curve, assuming that the genus of . is 1 or 2.

Conserve 发表于 2025-3-27 05:29:19

Motivic Zeta Functions of Semi-Abelian VarietiesIn this chapter, we assume that . is algebraically closed. We will prove in Theorem 8.3.1.2 the rationality of the motivic zeta function of a Jacobian variety, and we show that it has a unique pole, which coincides with the tame base change conductor from Chap. 6 We will also investigate the case of Prym varieties.

Uncultured 发表于 2025-3-27 13:01:26

Some Open ProblemsTo conclude, we will formulate some open problems and directions for future research stemming from the results in the preceding chapters. We assume that . is algebraically closed.

OUTRE 发表于 2025-3-27 14:08:39

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temperate 发表于 2025-3-27 18:33:51

Néron Models and Base Change978-3-319-26638-1Series ISSN 0075-8434 Series E-ISSN 1617-9692

焦虑 发表于 2025-3-27 22:54:37

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甜瓜 发表于 2025-3-28 02:59:31

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灯丝 发表于 2025-3-28 09:54:41

The Base Change Conductor and Edixhoven’s Filtration of this section states that the jumps of the Jacobian variety of a .-curve . only depend on the combinatorial reduction data of . (Theorem 6.3.1.3). This generalizes a previous result of the first author, where an additional condition on the reduction data was imposed.

召集 发表于 2025-3-28 10:56:35

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查看完整版本: Titlebook: Néron Models and Base Change; Lars Halvard Halle,Johannes Nicaise Book 2016 Springer International Publishing Switzerland 2016 14K15, 14H4