Torsion-Free Sheaves and Moduli of Generalized Spin Curves

Details Torsion-Free Sheaves and Moduli of Generalized Spin Curves Torsion-Free Sheaves and Moduli of Generalized Spin Curves

1995-02-21

arxiv.org/abs/alg-geom/9502022v1

Mathematics

Algebraic Geometry

AMS-LaTeX, 31 pages, uses amscd.sty

Scientific paper

This article treats compactifications of the space of generalized spin curves. Generalized spin curves, or $r$-spin curves, are pairs $(X,L)$ with $X$ a smooth curve and $L$ a line bundle whose r-th tensor power is isomorphic to the canonical bundle of $X.$ These are a natural generalization of $2$-spin curves (algebraic curves with a theta-characteristic), which have been of interest recently, in part because of their applications to fermionic string theory. Three different compactifications over $\Bbb{Z}[1/r],$ all using torsion-free sheaves, are constructed. All three yield algebraic stacks, one of which is shown to have Gorenstein singularities that can be described explicitly, and one of which is smooth. All three compactifications generalize constructions of Deligne and Cornalba done for the case when $r=2.$

Affiliated with

Also associated with

No associations

Rating

Torsion-Free Sheaves and Moduli of Generalized Spin 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 Torsion-Free Sheaves and Moduli of Generalized Spin Curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Torsion-Free Sheaves and Moduli of Generalized Spin Curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-30182