A stratification of the moduli space of vector bundles on curves

Details A stratification of the moduli space of vector bundles on curves A stratification of the moduli space of vector bundles on curves

1997-08-18

arxiv.org/abs/alg-geom/9708014v1

Mathematics

Algebraic Geometry

Latex, Permanent e-mail L. Brambila-Paz: lebp@xanum.uam.mx Classification: 14D, 14F

Scientific paper

Let $E$ be a vector bundle of rank $r\geq 2$ on a smooth projective curve $C$ of genus $g \geq 2$ over an algebraically closed field $K$ of arbitrary characteristic. For any integer with $1\le k\le r-1$ we define $${\se}_k(E):=k\deg E-r\max\deg F.$$ where the maximum is taken over all subbundles $F$ of rank $k$ of $E$. The ${s}_k$ gives a stratification of the moduli space ${\cal M}(r,d)$ of stable vector bundles of rank $r$ and degree on $d$ on $C$ into locally closed subsets ${\calM}(r,d,k,s)$ according to the value of $s$ and $k$. There is a component ${\cal M}^0(r,d,k,s)$ of ${\cal M}(r,d,k,s)$ distinguish by the fact that a general $E\in {\cal M}^0(r,d,k,s)$ admits a stable subbundle $F$ such that $E/F$ is also stable. We prove: {\it For $g\ge \frac{r+1}{2}$ and $0

Affiliated with

Also associated with

No associations

Rating

A stratification of the moduli space of vector bundles on curves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A stratification of the moduli space of vector bundles on curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A stratification of the moduli space of vector bundles on curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-484134