The Maximal Rank Conjecture

2017/11/14 by Eric Larson, Larson, Eric · 1 citation
Mathematics · #14H99 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1711.04906

openalex publication_date 2017/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let C be a general curve of genus g, embedded in P^r via a general linear series of degree d. In this paper, we prove the Maximal Rank Conjecture, which determines the Hilbert function of C.

Citations

• Stable curves and special divisors: Petri's conjecture

Cited by

• Recent Developments in Brill-Noether Theory

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