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2017 New cubic fourfolds with odd-degree unirational parametrizations
Kuan-Wen Lai
Algebra Number Theory 11(7): 1597-1626 (2017). DOI: 10.2140/ant.2017.11.1597

Abstract

We prove that the moduli space of cubic fourfolds C contains a divisor C42 whose general member has a unirational parametrization of degree 13. This result follows from a thorough study of the Hilbert scheme of rational scrolls and an explicit construction of examples. We also show that C42 is uniruled.

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Kuan-Wen Lai. "New cubic fourfolds with odd-degree unirational parametrizations." Algebra Number Theory 11 (7) 1597 - 1626, 2017. https://doi.org/10.2140/ant.2017.11.1597

Information

Received: 27 September 2016; Revised: 28 April 2017; Accepted: 5 June 2017; Published: 2017
First available in Project Euclid: 12 December 2017

zbMATH: 1375.14054
MathSciNet: MR3697149
Digital Object Identifier: 10.2140/ant.2017.11.1597

Subjects:
Primary: 14E08
Secondary: 14J26, 14J35, 14J70, 14M20

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.11 • No. 7 • 2017
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