We prove that classes of rational curves on very general Enriques surfaces are always 2-divisible. As a consequence, we compute the Seshadri constant of any big and nef line bundle on a very general Enriques surface, proving that it coincides with the value of the φ-function introduced by Cossec [Math. Ann. 271 (1985), pp. 577–600].

Rational curves and Seshadri constants on Enriques surfaces

Concettina Galati
;
Andreas Leopold Knutsen
2024-01-01

Abstract

We prove that classes of rational curves on very general Enriques surfaces are always 2-divisible. As a consequence, we compute the Seshadri constant of any big and nef line bundle on a very general Enriques surface, proving that it coincides with the value of the φ-function introduced by Cossec [Math. Ann. 271 (1985), pp. 577–600].
2024
Enriques surfaces, rational curves, Seshadri constants.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/341543
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