A local proof of Petri's conjecture at the general curve

1998/10/02 by Herbert Clemens, Clemens, Herbert
Computer Science · Mathematics · #14D15 #14H40 #Algebraic Geometry (math.AG) #Cellular Automata and Applications #FOS: Mathematics #Geometric and Algebraic Topology #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/9810010

openalex publication_date 1998/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A proof of Petri's general conjecture on the unobstructedness of linear systems on a general curve is proposed, using only the local properties of the deformation space of the pair (curve, line bundle).

Citations

• Cohomology and Obstructions I: Geometry of formal Kuranishi theory
• Stable curves and special divisors: Petri's conjecture

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