3 papers
math.AG2023
On the Grothendieck--Serre conjecture for projective smooth schemes over a DVR
Ning Guo, Ivan Panin
The Grothendieck--Serre conjecture predicts that every generically trivial torsor under a reductive group scheme over a regular local ring is trivial. The mixed characteris…
math.AG2023
Weak elementary fibrations
Ning Guo, Ivan Panin
We introduce a notion of a weak elementary fibration and prove that it does exist in certain interesting cases. Our notion is a modification of the M. Artin's notion of an elementa…
math.AG2023
A presentation theorem for smooth projective schemes over discrete valuation rings
Ning Guo, Ivan Panin
In this article, we give a proof for a geometric presentation theorem for any irreducible scheme smooth projective over a discrete valuation ring . As a consequence, for any…