Aggressive 发表于 2025-3-26 22:04:46
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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
http://reply.papertrans.cn/67/6699/669812/669812_35.pngtemperate 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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http://reply.papertrans.cn/67/6699/669812/669812_38.png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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