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This is a Experimental Study study.

October 17, 2025International Mathematics Research Notices

Maximal Brill–Noether Loci via K3 Surfaces

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Authors

AAAsher AuelDartmouth College RHRichard HaburcakThe Ohio State University

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Implication

This research reveals new lifting results for line bundles in the context of Brill–Noether loci, suggesting advancements in understanding their structure.

Key Points

Identifying maximal Brill–Noether loci is advanced by analyzing linear systems on K3 surfaces, aiding in distinguishing these subvarieties.
Lifting results for line bundles show significant findings in the context of maximal Brill–Noether loci conjecture, particularly for genus 3 to 19 and beyond.
The analysis relies on understanding Lazarsfeld–Mukai bundles, providing a coherent approach to tackle issues in the moduli space of curves.
Studying the stability of these bundles directly influences the conjecture's validity, integrating geometric properties with algebraic structures.

Cite This Study

Auel et al. (2025) studied this question.

synapsesocial.com/papers/68f199d1de32064e504dd57b https://doi.org/10.1093/imrn/rnaf313

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Implication

This research reveals new lifting results for line bundles in the context of Brill–Noether loci, suggesting advancements in understanding their structure.

Maximal Brill–Noether Loci via K3 Surfaces

Discussion

Member takes

Implication

Key Points

Cite This Study

Maximal Brill–Noether Loci via K3 Surfaces

Discussion

Member takes

Implication

Key Points

Cite This Study

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