Year of Graduation
Gauged Linear Sigma Model for the Jacobians of Hyperelliptic Curves
Mathematics and Mathematical Physics
In this paper we construct a gauged linear sigma model describing a geometric theory on the Jacobian of a hyperelliptic curve in one of its limits. In paricular, we establish its relation to the theory on the stacky orbifold [C^g/S_g] reflecting a well-known connection between the derived category of coherent sheaves on the Jacobian and that of the symmetric power of the curve.