Abstract
Using methods developed by Kollár, Voisin, ourselves and Totaro, we prove that a cyclic cover of , , of prime degree , ramified along a very general hypersurface of degree , is not stably rational if . In dimension 3 we recover double covers of ramified along a very general surface of degree 4 (Voisin) and double covers of ramified along a very general surface of degree 6 (Beauville). We also find double covers of ramified along a very general hypersurface of degree 6. This method also enables us to produce examples over a number field.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
