Higher Gaussian Maps on K3 Surfaces

We give sufficient conditions for the surjectivity of higher Gaussian maps on a polarized K3 surface. As an application, we show that the $k$-th Gaussian map for a general curve of genus $g$ (that depends quadratically with $k$) is surjective. Along the proof, we also exhibit an ampleness criterion...

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Veröffentlicht in:	International mathematics research notices 2024-05, Vol.2024 (10), p.8185-8212
1. Verfasser:	Ríos Ortiz, Ángel David
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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