Scientists / Open questions

格尔德·法尔廷斯

Gerd Faltings

算术几何、数论

1986 年菲尔兹奖

3 个问题

  1. Essential image of the p-adic Simpson correspondence: Faltings' conjecture that all semistable slope-zero Higgs bundles arise from genuine p-adic representations

  2. Faltings' finiteness theorem for local cohomology up to order n: the missing converse on SnS_n formal fibers, and lifting along II-adic completion

  3. Natural bounded families of Néron-points for the additive group and other non-proper groups in Faltings' Néron-model construction

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