About the surjectivity of the Wahl map of nodal curves on K3 surfaces

2013/12/12 by Mihai Halic, Halic, Mihai
Mathematics · #14C20 #14D15 #14H10 #14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C20 #msc:14D15 #msc:14H10 #msc:14J28

paper · pdf · doi:10.48550/arxiv.1312.3492

Corrigendum: Modular properties of nodal curves on K3 surfaces

arxiv created 2015/04/05 · arxiv updated 2015/04/07

Abstract

I correct an error in my article arXiv:0911.5474, concerning the non-surjectivity of the Wahl map of nodal curves on K3 surfaces. I prove that a modification of the Wahl map is indeed non-surjective for nodal curves with a low number of nodes, on arbitrary K3 surfaces. Along the way, I also obtain a lower bound of independent interest for the multiple point Seshadri constants of K3 surfaces with cyclic Picard group.

Citations

• Modular properties of nodal curves on K3 surfaces

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