Existence of global N\'eron models beyond semi-abelian varieties

Autor:	Overkamp, Otto, Suzuki, Takashi
Rok vydání:	2023
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry 14L15 (Primary) 14G17 14F30 11G10 14K15 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We first prove Bosch-L\"utkebohmert-Raynaud's conjectures on existence of global N\'eron models of not necessarily semi-abelian algebraic groups in the perfect residue fields case. We then give a counterexample to the existence in the imperfect residue fields case. Finally, as a complement to the conjectures, we classify unirational wound unipotent groups "up to relative perfection", again in the perfect residue fields case. The key ingredient for all these is the duality for relatively perfect unipotent groups. Comment: Minor edit. 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.14567 Zobrazit plný text záznamu View this record from Arxiv