Moduli of symplectic instanton vector bundles of higher rank on projective space $\mathbb{P}^3$

Details Moduli of symplectic instanton vector bundles of higher rank on projective space $\mathbb{P}^3$ Moduli of symplectic instanton vector bundles of higher rank on projective space $\mathbb{P}^3$

2011-09-11

arxiv.org/abs/1109.2292v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

Symplectic instanton vector bundles on the projective space $\mathbb{P}^3$ constitute a natural generalization of mathematical instantons of rank 2. We study the moduli space $I_{n,r}$ of rank-$2r$ symplectic instanton vector bundles on $\mathbb{P}^3$ with $r\ge2$ and second Chern class $n\ge r,\ n\equiv r({\rm mod}2)$. We give an explicit construction of an irreducible component $I^*_{n,r}$ of this space for each such value of $n$ and show that $I^*_{n,r}$ has the expected dimension $4n(r+1)-r(2r+1)$.

Affiliated with

Also associated with

No associations

Rating

Moduli of symplectic instanton vector bundles of higher rank on projective space $\mathbb{P}^3$ 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 Moduli of symplectic instanton vector bundles of higher rank on projective space $\mathbb{P}^3$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moduli of symplectic instanton vector bundles of higher rank on projective space $\mathbb{P}^3$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-19969