Coincident root loci of binary forms

Details Coincident root loci of binary forms Coincident root loci of binary forms

2003-11-18

arxiv.org/abs/math/0311312v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

Coincident root loci are subvarieties of $S^d(C^2)$--the space of binary forms of degree $d$--labelled by partitions of $d$. Given a partition $\lambda$, let $X_\lambda$ be the set of forms with root multiplicity corresponding to $\lambda$. There is a natural action of $GL_2(C)$ on $S^d(C^2)$ and the coincident root loci are invariant under this action. We calculate their equivariant Poincar\'e duals generalizing formulas of Hilbert and Kirwan. In the second part we apply these results to present the cohomology ring of the corresponding moduli spaces (stable points$/G$, semistable points$/G$, link of the singularity) using geometrically defined relations.

Affiliated with

Also associated with

No associations

Rating

Coincident root loci of binary forms 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 Coincident root loci of binary forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coincident root loci of binary forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-340273