15 citations · 23 across the 4 of their papers we have counts for
4 papers
On the structure of affine flat group schemes over discrete valuation rings, II
Phùng Hô Hai, João Pedro dos Santos
In the 1st part of this work [DHdS18], we studied affine group schemes over a discrete valuation ring (DVR) by means of Neron blowups. We also showed how to apply these findings to…
On the structure of affine flat group schemes over discrete valuation rings
Nguyen Dai Duong, Phung Ho Hai, João Pedro P. dos Santos
We study affine group schemes over a discrete valuation ring using two techniques: Neron blowups and Tannakian categories. We employ the theory developed to define and study di…
On the flatness and the projectivity over Hopf subalgebras of Hopf algebras over discrete valuation rings
Nguyen Dai Duong, Phung Ho Hai, Nguyen Huy Hung
We study the flatness and the projectivity of Hopf algebras, defined over a Dedekind ring, over their Hopf subalgebras. We give a criterion for the faithful flatness and use it to…
Tannakian duality over Dedekind rings and applications
Nguyen Dai Duong, Phùng Hô Hai
We establish a duality between flat affine group schemes and rigid tensor categories equipped with a neutral fiber functor (called Tannakian lattice), both defined over a Dedekind…