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].File in questo prodotto:
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