Hilbertianity of fields of power series

Elad Paran

doi:10.1017/S1474748011000144

Hilbertianity of fields of power series

Elad Paran

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

תקציר

Let R be a domain contained in a rank-1 valuation ring of its quotient field. Let R[X] be the ring of formal power series over R, and let F be the quotient field of R[X]. We prove that F is Hilbertian. This resolves and generalizes an open problem of Jarden, and allows to generalize previous Galois-theoretic results over fields of power series.

שפה מקורית	אנגלית
עמודים (מ-עד)	351-361
מספר עמודים	11
כתב עת	Journal of the Institute of Mathematics of Jussieu
כרך	11
מספר גיליון	2
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1017/S1474748011000144
סטטוס פרסום	פורסם - אפר׳ 2012
פורסם באופן חיצוני	כן

הערה ביבליוגרפית

Funding Information:
Acknowledgements. The author was supported by an ERC grant while working on this research. The author thanks Arno Fehm, for many helpful suggestions and corrections, and the referee, for his/her comments.

גישה למסמך

10.1017/S1474748011000144

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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keywords = "AMS 2010 Mathematics subject classificationPrimary 12E30;",

author = "Elad Paran",

note = "Funding Information: Acknowledgements. The author was supported by an ERC grant while working on this research. The author thanks Arno Fehm, for many helpful suggestions and corrections, and the referee, for his/her comments.",

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Hilbertianity of fields of power series

תקציר

הערה ביבליוגרפית

גישה למסמך

קבצים וקישורים אחרים

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