Theta series and the Poincaré divisor
نویسندگان
چکیده
منابع مشابه
The Theta Divisor and Three-manifold Invariants
In this paper we study an invariant for oriented three-manifolds with b1 > 0, which is defined using Heegaard splittings and the theta divisor of a Riemann surface. The paper is divided into two parts, the first of which gives the definition of the invariant, and the second of which identifies it with more classical (torsion) invariants of three-manifolds. Its close relationship with Seiberg-Wi...
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We compute all the top intersection numbers of divisors on the total space of the Poincaré bundle restricted to B × C (where B is an abelian variety, and C ⊂ B is any test curve). We use these computations to find the class of the universal theta divisor and mtheta divisor inside the universal corank 1 semiabelian variety — the boundary of the partial toroidal compactification of the moduli spa...
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We compute all the top intersection numbers of divisors on the total space of the Poincaré bundle restricted to B × C (where B is an abelian variety, and C ⊂ B is any test curve). We use these computations to find the class of the universal theta divisor and mtheta divisor inside the universal corank 1 semiabelian variety — the boundary of the partial toroidal compactification of the moduli spa...
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We use Heegaard decompositions and the theta divisor on a Riemann-ian surface to define a three-manifold invariant for rational homology three-spheres. This invariant is defined on the set of Spin c structures θ : Spin c (Y) −→ Q. In the first part of the paper, we give the definition of the invariant (which builds on the theory developed in [18]). In the second part, we establish a relationshi...
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In response to a question of Beauville, we give a new class of examples of base points for the linear system |Θ| on the moduli space SUX(r) of semistable rank r vector bundles of trivial determinant on a curve X and we prove that for sufficiently large r the base locus is positive dimensional.
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1989
ISSN: 0386-2194
DOI: 10.3792/pjaa.65.263