Advanced Studies in Pure Mathematics

A tale of two surfaces

Arnaud Beauville

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Abstract

We point out a link between two surfaces which have appeared recently in the literature: the surface of cuboids and the Schoen surface. Both give rise to a surface with $q=4$, whose canonical map is 2-to-1 onto a complete intersection of 4 quadrics in $\mathbb{P}^6$ with 48 nodes.

Article information

Source
Higher Dimensional Algebraic Geometry: In honour of Professor Yujiro Kawamata's sixtieth birthday, K. Oguiso, C. Birkar, S. Ishii and S. Takayama, eds. (Tokyo: Mathematical Society of Japan, 2017), 1-10

Dates
Received: 14 May 2013
First available in Project Euclid: 23 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1540319480

Digital Object Identifier
doi:10.2969/aspm/07410001

Mathematical Reviews number (MathSciNet)
MR3791206

Zentralblatt MATH identifier
1388.14108

Subjects
Primary: 14D25

Keywords
surface of cuboids canonical map Schoen surface

Citation

Beauville, Arnaud. A tale of two surfaces. Higher Dimensional Algebraic Geometry: In honour of Professor Yujiro Kawamata's sixtieth birthday, 1--10, Mathematical Society of Japan, Tokyo, Japan, 2017. doi:10.2969/aspm/07410001. https://projecteuclid.org/euclid.aspm/1540319480


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