Chow quotients of Grassmannian I

Mathematics – Algebraic Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

88 pages,plain TeX

Scientific paper

We introduce a certain compactification of the space of projective configurations i.e. orbits of the group $PGL(k)$ on the space of $n$ - tuples of points in $P^{k-1}$ in general position. This compactification differs considerably from Mumford's geometric invariant theory quotient. It is obtained by considering limit position (in the Chow variety) of the closures of generic orbits. The same result will be obtained if we study orbits of the maximal torus on the Grassmannian $G(k,n)$. We study in detail the closures of the torus orbits and their "visible contours" which are Veronese varieties in the Grassmannian. For points on $P^1$ our construction gives the Grothemdieck - Knudsen moduli space of stable $n$ -punctured curves of genus 0. The "Chow quotient" interpretation of this space permits us to represent it as a blow up of a projective space.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Chow quotients of Grassmannian I 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 Chow quotients of Grassmannian I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chow quotients of Grassmannian I will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-149678

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.