Poincare sheaves on the moduli spaces of torsionfree sheaves over an irreducible curve

Details Poincare sheaves on the moduli spaces of torsionfree sheaves over an irreducible curve Poincare sheaves on the moduli spaces of torsionfree sheaves over an irreducible curve

2011-08-07

arxiv.org/abs/1108.1528v1

Mathematics

Algebraic Geometry

To appear in Communications in Algebra

Scientific paper

Let $Y$ be a geometrically irreducible reduced projective curve defined over real numbers. Let $U_Y$ (respectively, $U'_Y$) be the moduli space of geometrically stable torsionfree sheaves (respectively, locally free sheaves) on $Y$ of rank $n$ and degree $d$. Define $\chi\, =\, d+n(1-\text{genus}(Y))$, where $\text{genus}(Y)$ is the arithmetic genus. If $2n$ is coprime to $\chi$, then there is a Poincare sheaf over $U_Y\times Y$. If $2n$ is not coprime to $\chi$, then there is no Poincare sheaf over any nonempty open subset of $U'_Y$.

Affiliated with

Also associated with

No associations

Rating

Poincare sheaves on the moduli spaces of torsionfree sheaves over an irreducible curve 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 Poincare sheaves on the moduli spaces of torsionfree sheaves over an irreducible curve, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poincare sheaves on the moduli spaces of torsionfree sheaves over an irreducible curve will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-707288