Brill–Noether Theory for Non-Special Linear Systems II: Connectedness and Irreducibility

作者: Marc Coppens

DOI: 10.1023/A:1004978715528

关键词: MathematicsIrreducibilityDifferential geometryScheme (mathematics)Pure mathematicsSpace (mathematics)Social connectednessBrill–Noether theoryGenus (mathematics)Algebraic geometryAlgebra

摘要: Let C be a general smooth curve of genus g and let gdnbe non-special linear system on C. Under some numerical conditions we prove the irreducibility scheme parametrizing secant space divisors for gdn. We also connectedness under weaker conditions.

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