Recent advances in Brill--Noether theory and the geometry of Brill--Noether curves

Fuente: arXiv
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Autore principale: Vogt, Isabel
Natura: Preprint
Pubblicazione: 2026
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author Vogt, Isabel
author_facet Vogt, Isabel
contents The first goal of this article is to survey recent progress in Brill--Noether theory, including both the study of the moduli space of maps from a curve to projective space and the geometry of the resulting curves in projective space. The second goal is to introduce newcomers to some of the important techniques that have been introduced or developed in the last decade that made these advances possible.
format Preprint
id arxiv_https___arxiv_org_abs_2602_03660
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Recent advances in Brill--Noether theory and the geometry of Brill--Noether curves
Vogt, Isabel
Algebraic Geometry
14H51, 14H60
The first goal of this article is to survey recent progress in Brill--Noether theory, including both the study of the moduli space of maps from a curve to projective space and the geometry of the resulting curves in projective space. The second goal is to introduce newcomers to some of the important techniques that have been introduced or developed in the last decade that made these advances possible.
title Recent advances in Brill--Noether theory and the geometry of Brill--Noether curves
topic Algebraic Geometry
14H51, 14H60
url https://arxiv.org/abs/2602.03660