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Corrigendum: On an Enriques surface associated with a quartic Hessian surface
- Part of
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- Journal:
- Canadian Journal of Mathematics / Volume 74 / Issue 2 / April 2022
- Published online by Cambridge University Press:
- 10 December 2020, pp. 603-605
- Print publication:
- April 2022
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- Article
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On an Enriques Surface Associated With a Quartic Hessian Surface
- Part of
-
- Journal:
- Canadian Journal of Mathematics / Volume 71 / Issue 1 / February 2019
- Published online by Cambridge University Press:
- 09 January 2019, pp. 213-246
- Print publication:
- February 2019
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- Article
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- You have access
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Let
$Y$ be a complex Enriques surface whose universal cover 
$X$ is birational to a general quartic Hessian surface. Using the result on the automorphism group of 
$X$ due to Dolgachev and Keum, we obtain a finite presentation of the automorphism group of 
$Y$. The list of elliptic fibrations on 
$Y$ and the list of combinations of rational double points that can appear on a surface birational to 
$Y$ are presented. As an application, a set of generators of the automorphism group of the generic Enriques surface is calculated explicitly.
