Vector bundles on p-adic curves and parallel transport

p-adic vector bundles on curves and abelian varieties and representations of the fundamental group

Note: Vector Bundles on Curves

The information above on email or mailbox is obsolete. Thanks to Ulrich Görtz for providing me with a copy of the original postscript file. Lectures by Gerd Faltings held in Bonn 1995 Notes by Michael Stoll Comments, remarks, questions etc. inserted by me are set in slanted. Contributions by other people are set in sans serif and marked by their initials: ck] Christian Kaiser Since these notes ...

Curves and vector bundles on quartic threefolds

In this paper we study ACM vector bundles E of rank k ≥ 3 on hypersurfaces Xr ⊂ P 4 of degree r ≥ 1. We consider here mainly the case of degree r = 4, which is the first unknown case in literature. See [15] [27] [4] for the cases r = 1, 2, 3. Under some natural conditions for the bundle E we derive a list of possible Chern classes (c1, c2, c3) which may arise in the cases of rank k = 3 and k = ...

On Poincaré Bundles of Vector Bundles on Curves

Let M denote the moduli space of stable vector bundles of rank n and fixed determinant of degree coprime to n on a non-singular projective curve X of genus g ≥ 2. Denote by U a universal bundle on X × M . We show that, for x, y ∈ X, x 6= y, the restrictions U|{x} × M and U|{y} × M are stable and nonisomorphic when considered as bundles on X .

Non-simple Vector Bundles on Curves

Let A be a finite dimensional unitary algebra over an algebraically closed field K. Here we study the vector bundles on a smooth projective curve which are equipped with a faithful action of A.