Ulrich bundles on abelian surfaces

In Section 4.1 we have noticed that if a rank 2 vector bundle F on P 2 is invariant under the action of G p , then, if not uniform, its jumping locus is given by all lines

It is easy to check that the natural action of Q on p\ (V) preserves the holomorphic structure QT- Taking the quotient of P(p^(V)) by Q we get the universal projective bundle,

The motivation for this paper was to gather some information on holomorphic vector bundles on some non-algebraic compact complex manifolds, especially manifolds without divisors. As

X will continue to denote a stable curve over A with smooth generic fiber and /c-split degenerate fiber, Yo the universal covering space of Xo, and G the group of

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Let X be a smooth projective curve over C, and let Uo be the moduli space of rank 2 semistable vector bundles on X with trivial determinant.. When X is

We show that the moduli space of semistable G-bundles on an elliptic curve for a reductive group G is isomorphic to a power of the elliptic curve modulo a certain Weyl group

Moreover this doesn’t seem to be an artefact of the proof but an intrinsic difficulty; for example the minimal rank of an Ulrich bundle on a smooth hyper- quadric is exponential in