Effective Very Ampleness for Generalized Theta Divisors
نویسندگان
چکیده
Given a smooth projective curve X, we give effective very ampleness bounds for generalized theta divisors on the moduli spaces SUX(r, d) and UX(r, d) of semistable vector bundles of rank r and degree d on X with fixed, respectively arbitrary, determinant.
منابع مشابه
Generalized Theta Linear Series on Moduli Spaces of Vector Bundles on Curves
Contents 1. Introduction 1 2. Semistable bundles 2 2.1. Arbitrary vector bundles 2 2.2. Semistable vector bundles 4 2.3. Example: Lazarsfeld's bundles 6 2.4. Example: Raynaud's bundles 8 2.5. The moduli space 9 3. Generalized theta divisors 11 4. Quot schemes and stable maps 14 5. Verlinde formula and Strange Duality 16 5.1. Verlinde formula 16 5.2. Strange Duality 18 6. Base points 20 6.1. Abs...
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