Galois points on varieties

Moshe Jarden, Bjorn Poonen

Research output: Contribution to journalArticlepeer-review

Abstract

A field K is ample if for every geometrically integral K-variety V with a smooth K-point, V (K) is Zariski dense in V. A field K is Galois-potent if every geometrically integral K-variety has a closed point whose residue field is Galois over K. We prove that every ample field is Galois-potent. But we construct also non-ample Galois-potent fields; in fact, every field has a regular extension with these properties.

Original languageEnglish
Pages (from-to)189-194
Number of pages6
JournalJournal of the Ramanujan Mathematical Society
Volume31
Issue number2
StatePublished - Jun 2016

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