5 papers · 1 filter
Non-abelian Local Invariant Cycles
Yen-lung Tsai, Eugene Z. Xia
Let f be a degeneration of Kahler manifolds. The local invariant cycle theorem states that for a smooth fiber of the degeneration, any cohomology class, invariant under the monodro…
Frobenius pull-back and stability of vector bundles in characteristic 2
Jiu-Kang Yu, Eugene Z. Xia
Let X be a smooth projective curve of genus g>1 over an algebraically closed field of characteristic 2. Pull-back by the (absolute) Frobenius on X only defines a rational morphism…
The Moduli of Flat PU(p,p)-Structures with Large Toledo Invariants
Eyal Markman, Eugene Z. Xia
For a compact Riemann surface of genus , $\Hom(π_1(X), PU(p,q))/PU(p,q)$ is the moduli space of flat -connections on . There are two invariants, the Chern cl…
Moduli of Vector Bundles on Curves in Positive Characteristics
Kirti Joshi, Eugene Z. Xia
Let X be a projective curve of genus 2 over an algebraically closed field of characteristic 2. The Frobenius map on X induces a rational map on the moduli scheme of rank-2 bundles.…
The Moduli of Flat U(p,1) Structures on Riemann Surfaces
Eugene Z. Xia
For a compact Riemann surface of genus , $\Hom(π_1(X), U(p,1))/U(p,1)$ is the moduli space of flat $\U(p,1)$-connections on . There is an integer invariant, , the…