Injectivity of the Petri map for twisted Brill-Noether loci

2009/07/02 by Montserrat Teixidor i Bigas, Bigas, Montserrat Teixidor I.
Computer Science · Mathematics · #14H60 #Algebraic Geometry (math.AG) #Cellular Automata and Applications #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.0907.0365

openalex publication_date 2009/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let C be a generic curve, E a generic vector bundle on C. Then, for every line bundle on C the twisted Petri map P:H⁰(C,L⊗ E)⊗ H⁰(C, K⊗ L^*⊗ E^*)--> H⁰(C, K) is injective.

Citations

• Vector Bundles Over an Elliptic Curve

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• Petri map for vector bundles near good bundles
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