On the Brill-Noether loci of a curve embedded in a K3 surface
Luigi Pagano
TL;DR
This paper extends previous results to construct curves on K3 surfaces with Brill-Noether loci of unexpected dimension, advancing understanding of their geometric properties.
Contribution
It introduces new methods to analyze Brill-Noether loci on curves embedded in K3 surfaces, revealing unexpected dimensional behavior.
Findings
Construction of curves with Brill-Noether loci of unexpected dimension
Extension of injectivity results for moduli space maps
New insights into the geometry of curves on K3 surfaces
Abstract
We extend a previous result of Feyzbakhsh concerning the injectivity of a map of moduli spaces and we use this result to construct curves whose Brill-Noether loci have unexpected dimension.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows · Geometry and complex manifolds