All Outputs (2)

Group schemes of period p>2 (2010)
Journal Article
Abrashkin, V. (2010). Group schemes of period p>2. Proceedings of the London Mathematical Society, 101(1), 207-259. https://doi.org/10.1112/plms/pdp052

For a prime number p>2 we give a direct proof of Breuil's classification of finite flat group schemes killed by p over the valuation ring of a p-adic field with perfect residue field. As application we establesh a correspondence between finite flat g... Read More about Group schemes of period p>2.

Modified proof of a local analogue of the Grothendieck Conjecture (2010)
Journal Article
Abrashkin, V. (2010). Modified proof of a local analogue of the Grothendieck Conjecture. Journal de théorie des nombres de Bordeaux, 22(1), 1-50. https://doi.org/10.5802/jtnb.703

A local analogue of the Grothendieck Conjecture is an equivalence of the category of complete discrete valuation fields K with finite residue fields of characteristic p and the category of their Galois groups together with their ramification filtrati... Read More about Modified proof of a local analogue of the Grothendieck Conjecture.