107 citations · 173 across the 36 of their papers we have counts for
4 papers · 1 filter
Local-global Galois theory of arithmetic function fields
David Harbater, Julia Hartmann, Daniel Krashen +2
We study the relationship between the local and global Galois theory of function fields over a complete discretely valued field. We give necessary and sufficient conditions for loc…
Local-Global Principles for Zero-Cycles on Homogeneous Spaces over Arithmetic Function Fields
Jean-Louis Colliot-Thélène, David Harbater, Julia Hartmann +3
We study the existence of zero-cycles of degree one on varieties that are defined over a function field of a curve over a complete discretely valued field. In particular, we show t…
Schubert cycles and subvarieties of generalized Severi-Brauer varieties
Caroline Junkins, Daniel Krashen, Nicole Lemire
We study twisted forms of Schubert cells in generalized Severi-Brauer varieties, and show that the codimension Chow groups of these varieties are torsion free in certain cases,…
Period-index bounds for arithmetic threefolds
Benjamin Antieau, Asher Auel, Colin Ingalls +2
The standard period-index conjecture for the Brauer group of a field of transcendence degree 2 over a -adic field predicts that the index divides the cube of the period. Using G…