Rationality of the universal K3 surface of genus 8

2020/05/24 by Di Tullio, Daniele
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2005.11690

Abstract

The aim of the present paper is to prove the rationality of the universal family of polarized K3 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 \mathbb Pⁿ-bundle over a k -stably rational variety with k ≤ n.

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