Higher Gaussian Maps on K3 Surfaces-Reference-Cited by-同舟云学术

Higher Gaussian Maps on K3 Surfaces

Published:2023-07-27 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Ríos Ortiz Ángel David¹²

Affiliation:

1. Dipartimento di Matematica, Sapienza Universita di Roma , Piazzale Aldo Moro 5, 00185 Roma

2. Max-Planck-Institut für Mathematik in den Naturwissenschaften , Inselstrasse 22, 04103 Leipzig, Germany

Abstract

Abstract 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 for divisors in the Hilbert scheme of two points of a K3 surface.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnad165/50977750/rnad165.pdf

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