Rationality of the universal K3 surface of genus 8

arXiv2005.11690MaRDI QIDQ6341314

Publication date: 24 May 2020

Abstract: The aim of the present paper is to prove the rationality of the universal family of polarized

K 3

surfaces of degree 14. This is achieved by identifying it with the moduli space of cubic fourfolds plus the data of a quartic scroll. The last moduli space is finally proved to be rational since it has a natural structure of

m a t h b b P^{n}

-bundle over a

k

-stably rational variety with

k l e q n

.

This page was built for publication: Rationality of the universal K3 surface of genus 8

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6341314)