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15-Nodal quartic surfaces. Part II: the automorphism group

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Abstract

We describe a set of generators and defining relations for the group of birational automorphisms of a general 15-nodal quartic surface in the complex projective 3-dimensional space.

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, 2072 East Hall, 525 East University Avenue, Ann Arbor, MI, 48109-1109, USA

    Igor Dolgachev

  2. Department of Mathematics, Graduate School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, 739-8526, Japan

    Ichiro Shimada

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  1. Igor Dolgachev
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  2. Ichiro Shimada
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Correspondence to Ichiro Shimada.

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The second author was supported by JSPS KAKENHI Grant Nos. 15H05738, 16H03926, and 16K13749.

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Dolgachev, I., Shimada, I. 15-Nodal quartic surfaces. Part II: the automorphism group. Rend. Circ. Mat. Palermo, II. Ser 69, 1165–1191 (2020). https://doi.org/10.1007/s12215-019-00464-7

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