@inbook{a142af048e9440b0a45f75c09209d3b8,

title = "A comparison between obstructions to local-global principles over semiglobal fields",

abstract = "We consider local-global principles for rational points on varieties, in particular torsors, over one-variable function fields over complete discretely valued fields. There are several notions of such principles, arising either from the valuation theory of the function field, or from the geometry of a regular model of the function field. Our results compare the corresponding obstructions, proving in particular that a local-global principle with respect to valuations implies a local-global principle with respect to a sufficiently fine regular model. ",

keywords = "math.NT, math.AG, 13F30, 14G05, 14H25 (primary), 14G27, 11E72 (secondary)",

author = "David Harbater and Julia Hartmann and Valentijn Karemaker and Florian Pop",

note = "10 pages; published version",

year = "2021",

doi = "10.1090/conm/767",

language = "English",

isbn = "978-1-4704-5207-0",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "135--146",

editor = "Jarden, {Moshe } and Shaska, {Tony }",

booktitle = "Abelian Varieties and Number Theory",

address = "United States",

}