harpsichord
发表于 2025-3-23 10:01:33
Construction of Birational Group Laws,In the previous chapter, we discussed the smoothening process and, as an application, proved the existence of weak Néron models. The next step towards the construction of Néron models requires the use of group arguments.
使更活跃
发表于 2025-3-23 14:25:59
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accrete
发表于 2025-3-23 19:10:27
Some Background Material from Algebraic Geometry, is familiar with Grothendieck’s definition of schemes and morphisms, we treat the concept of smooth and étale morphisms, of henselian rings, and of .-rational maps; moreover, we have included some facts on differential calculus and on flatness. Concerning the smoothness, we give a self-contained ex
photophobia
发表于 2025-3-24 02:02:38
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遗传学
发表于 2025-3-24 06:20:20
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Anticoagulant
发表于 2025-3-24 08:16:08
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召集
发表于 2025-3-24 12:06:16
,Properties of Néron Models,For example, Néron models do not, in general, commute with (ramified) based change; also, in the group scheme case, the behavior with respect to exact sequences can be very capricious. The situation stabilizes somewhat if one considers Néron models with semi-abelian reduction.
保留
发表于 2025-3-24 17:38:08
The Picard Functor,. The main purpose of this chapter is the presentation of various results on the representability of Pic.. We explain Grothendieck’s theorem on the representability of Pic. by a scheme and point out improvements due to Mumford as well as those due to Altman and Kleiman . In Section 8.3, we di
Kindle
发表于 2025-3-24 19:38:00
Jacobians of Relative Curves,.. Then, in the last three sections, we work over a base . consisting of a discrete valuation ring . with field of fractions . and, applying these results, we investigate the relationship between Pic. and the Néron model of the Jacobian . of the generic fibre ..
fiscal
发表于 2025-3-24 23:09:36
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