David Grimm

activity

20062025

most citedSums of squares in function fields over a henselian valued field

1 citations · 2 across the 4 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020★ 1 cited

Nonsplit conics in the reduction of an arithmetic curve

Karim Johannes Becher, David Grimm

For an algebraic function field $F / K$ and a discrete valuation $v$ of $K$ with perfect residue field $k$ , we bound the number of discrete valuations on $F$ extending $v$ whose resi…

math.NT2020

Hereditarily non-pythagorean fields

David Grimm, David B. Leep

We prove for a large class of fields $F$ that every proper finite extension of $F_{p y t h}$ , the pythagorean closure of $F$ , is not a pythagorean field. This class of fields contains…