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Existence of approximate Hermitian-Einstein structures on semi-stable bundles
Existence of approximate Hermitian-Einstein semi-stable bundles
2011/1/19
The purpose of this paper is to investigate canonical metrics on a semi-stable vector bundle E over a compact K¨ahler manifold X. It is shown that, if E is semistable,then Donaldson’s functional is bo...
Let $M$ be the moduli space of rank $2$ stable bundles with fixed determinant of degree $1$ on a smooth projective curve $C$ of genus $g\ge 2$. When $C$ is generic, we show that any elliptic curve on...
In this paper we construct new examples of stable bundles of rank 2 of small degree with 4 sections on a smooth irreducible curve of maximal Clifford index. The corresponding Brill-Noether loci have n...