Rees Algebras of Diagonal Ideals

Details Rees Algebras of Diagonal Ideals Rees Algebras of Diagonal Ideals

2011-06-05

arxiv.org/abs/1106.0742v2

Mathematics

Commutative Algebra

This work is based on author's Ph. D. thesis from Purdue University under the direction of Professor Bernd Ulrich

Scientific paper

There is a natural epimorphism from the symmetric algebra to the Rees algebra of an ideal. When this epimorphism is an isomorphism, we say that the ideal is of linear type. Given two determinantal rings over a field, we consider the diagonal ideal, the kernel of the multiplication map. We prove that the diagonal ideal is of linear type and recover the defining ideal of the Rees algebra in some special cases. The special fiber ring of the diagonal ideal is the homogeneous coordinate ring of the join variety.

Affiliated with

Also associated with

No associations

Rating

Rees Algebras of Diagonal Ideals 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 Rees Algebras of Diagonal Ideals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rees Algebras of Diagonal Ideals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-307027