Geometry of the theta divisor of a compactified jacobian
نویسنده
چکیده
Contents 1. Introduction 1 1.1. Notation and Conventions 2 1.2. Brill-Noether varieties and Abel maps 4 1.3. Stability and semistability 6 2. Technical groundwork 9 2.1. Basic estimates 9 2.2. Basic cases 12 2.3. Divisors imposing independent conditions 14 3. Irreducibility and dimension 19 3.1. Irreducible components of the Theta divisor 19 3.2. Dimension of the image of the Abel map 24 4. Compactifying the theta divisor 26 4.1. The compactified Picard variety 26 4.2. The theta divisor of the compactified jacobian. 28 References 33
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تاریخ انتشار 2009