Nonemptiness of severi varieties on enriques surfaces
Journal article, Peer reviewed
Published version
![Thumbnail](/bora-xmlui/bitstream/handle/11250/3115290/CDGK_nonemptiness_of_severi_varieties_on_enriques_surfaces.pdf.jpg?sequence=6&isAllowed=y)
Åpne
Permanent lenke
https://hdl.handle.net/11250/3115290Utgivelsesdato
2023Metadata
Vis full innførselSamlinger
- Department of Mathematics [968]
- Registrations from Cristin [10237]
Sammendrag
Let (S,L) be a general polarised Enriques surface, with L not numerically 2-divisible. We prove the existence of regular components of all Severi varieties of irreducible nodal curves in the linear system |L| , that is, for any number of nodes δ=0,…,pa(L)−1 . This solves a classical open problem and gives a positive answer to a recent conjecture of Pandharipande–Schmitt, under the additional condition of non-2-divisibility.