Embedding pointed curves in K3 surfaces

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Embedding Pointed Curves in K3 Surfaces

Let D be a smooth projective curve of genus g over an algebraically closed field of characteristic zero. Let Mg denote the moduli stack of such curves. Let (S, h) be a polarized K3 surface of genus g, i.e., h is ample and primitive with h2 = 2g − 2. Let Fg denote the moduli stack of such surfaces. Now suppose D ⊂ S with [D] = h; let Pg denote the moduli space of such pairs (S,D), φg : Pg → Mg t...

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2014

ISSN: 0025-5874,1432-1823

DOI: 10.1007/s00209-014-1339-x