R. Fedorov

activity

20042023

most citedA proof of the Grothendieck-Serre conjecture on principal bundles over regular local rings containing infinite fields

43 citations · 154 across the 18 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.AG2015★ 28 cited

Variations of Hodge structures for hypergeometric differential operators and parabolic Higgs bundles

Roman Fedorov

Consider the holomorphic bundle with connection on $P^{1} - {0, 1, \infty}$ corresponding to the regular hypergeometric differential operator \[ \prod_{j=1}^h(D-α_j)-z\prod_{j=…

math.AG2015★ 9 cited

On the Grothendieck-Serre conjecture on principal bundles in mixed characteristic

Roman Fedorov

Let R be a regular local ring. Let G be a reductive R-group scheme. A conjecture of Grothendieck and Serre predicts that a principal G-bundle over R is trivial if it is trivial ove…