The Wahl map of one-nodal curves on K3 surfaces

Edoardo Sernesi

The Wahl map of one-nodal curves on K3 surfaces

Algebraic Geometry 2018-01-04 v2

Authors: Edoardo Sernesi

Abstract

We consider a general primitively polarized K3 surface $(S,H)$ of genus $g+1$ and a 1-nodal curve $\widetilde C\in |H|$ . We prove that the normalization $C$ of $\widetilde C$ has surjective Wahl map provided $g=40,42$ or $\ge 44$ .

Keywords

K3 surfaces one-nodal curves Wahl map primitively polarized normalization surjective map algebraic curves

Cite

@article{arxiv.1701.04801,
  title  = {The Wahl map of one-nodal curves on K3 surfaces},
  author = {Edoardo Sernesi},
  journal= {arXiv preprint arXiv:1701.04801},
  year   = {2018}
}

Comments

9 pages. Final version, to appear in Contemporary Mathematics. Same results as in v1, new proof of Lemma 3, minor changes in section 1, typos corrected

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