Orbits of smooth rational curves on Enriques surfaces

Fuente: arXiv
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Main Authors: Brandhorst, Simon, González-Alonso, Víctor
Format: Preprint
Published: 2025
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author Brandhorst, Simon
González-Alonso, Víctor
author_facet Brandhorst, Simon
González-Alonso, Víctor
contents We give a closed formula for the number of orbits of smooth rational curves under the automorphism group of an Enriques surface in terms of its Nikulin root invariant and its Vinberg group.
format Preprint
id arxiv_https___arxiv_org_abs_2507_07516
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Orbits of smooth rational curves on Enriques surfaces
Brandhorst, Simon
González-Alonso, Víctor
Algebraic Geometry
14J28
We give a closed formula for the number of orbits of smooth rational curves under the automorphism group of an Enriques surface in terms of its Nikulin root invariant and its Vinberg group.
title Orbits of smooth rational curves on Enriques surfaces
topic Algebraic Geometry
14J28
url https://arxiv.org/abs/2507.07516