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arXiv · 2507.07516

Orbits of smooth rational curves on Enriques surfaces

Simon Brandhorst·Víctor González-Alonso
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Abstract

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.

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Simon Brandhorst, Víctor González-Alonso. 2025-07-10. Orbits of smooth rational curves on Enriques surfaces. https://arxiv.org/abs/2507.07516

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