Rohith Varma
Department of mathematics, Cornell University, U.S
February 4, 2016
On Higgs bundles on elliptic surfaces: Consider a relatively minimal elliptic surface $X\to C$ where euler characteristic of $X$ is positive. We show that when $X \to C$ is non-isotrivial and has no multiple fibers, a semistable Higgs bundle on $X$, with vanishing second chern class and determinant a pull back of a line bundle on $C$, is isomorphic to a pull-back of a semistable Higgs bundle on the curve $C$.
Department of mathematics, Cornell University, U.S
February 4, 2016
On Higgs bundles on elliptic surfaces: Consider a relatively minimal elliptic surface $X\to C$ where euler characteristic of $X$ is positive. We show that when $X \to C$ is non-isotrivial and has no multiple fibers, a semistable Higgs bundle on $X$, with vanishing second chern class and determinant a pull back of a line bundle on $C$, is isomorphic to a pull-back of a semistable Higgs bundle on the curve $C$.