Rational families of instanton bundles on $P^{2n+1}$

Details Rational families of instanton bundles on $P^{2n+1}$ Rational families of instanton bundles on $P^{2n+1}$

2012-04-23

arxiv.org/abs/1204.5077v1

Mathematics

Algebraic Geometry

Scientific paper

This paper is devoted to the theory of symplectic instanton bundles on an odd dimensional projective space ${\mathbb P}^{2n+1}$ with $n\ge 2$. The investigation of 't Hooft instanton bundles that were introduced by Ottaviani is continued. Furthermore, the concept of Rao-Skiti instanton bundles is considered. On ${\mathbb P}^3$, such instanton bundles were studied independently by Rao and Skiti, but for higher odd-dimensional projective spaces these objects are new. The main results of the article concern the rationality of the moduli spaces of 't Hooft and Rao-Skiti instanton bundles, respectively, and the reducibility of the moduli space of symplectic instanton bundles.

Affiliated with

Also associated with

No associations

Rating

Rational families of instanton bundles on $P^{2n+1}$ 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 Rational families of instanton bundles on $P^{2n+1}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rational families of instanton bundles on $P^{2n+1}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-444458