Given a surjective morphism π:X→Y of normal varieties satisfying some regularity hypotheses we prove how to recover a Cox ring of the generic fiber of π from the Cox ring of X. As a corollary we show that in some cases it is also possible to recover the Cox ring of a very general fiber, and finally we give an application in the case of the blowing-up of a toric fiber space.
Laface A., & Ugaglia L. (2020). Cox ring of the generic fiber. JOURNAL OF ALGEBRA, 551, 191-208.
Data di pubblicazione: | 2020 |
Titolo: | Cox ring of the generic fiber |
Autori: | UGAGLIA, Luca (Corresponding) |
Citazione: | Laface A., & Ugaglia L. (2020). Cox ring of the generic fiber. JOURNAL OF ALGEBRA, 551, 191-208. |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jalgebra.2020.01.013 |
Abstract: | Given a surjective morphism π:X→Y of normal varieties satisfying some regularity hypotheses we prove how to recover a Cox ring of the generic fiber of π from the Cox ring of X. As a corollary we show that in some cases it is also possible to recover the Cox ring of a very general fiber, and finally we give an application in the case of the blowing-up of a toric fiber space. |
Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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