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.
|Numero di pagine||18|
|Rivista||Journal of Algebra|
|Stato di pubblicazione||Published - 2020|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory