Results on Secant Varieties Leading to a Geometric Flip Construction

Details Results on Secant Varieties Leading to a Geometric Flip Construction Results on Secant Varieties Leading to a Geometric Flip Construction

1999-02-22

arxiv.org/abs/math/9902118v3

Mathematics

Algebraic Geometry

23 Pages. Minor changes and editing. To appear in Comp. Math

Scientific paper

We study the relationship between the equations defining a projective variety and properties of its secant varieties. In particular, we use information about the syzygies among the defining equations to derive smoothness and normality statements about Sec(X) and also to obtain information about linear systems on the blow up of projective space along a variety X. We use these results to geometrically construct, for varieties of arbitrary dimension, a flip first described in the case of curves by M. Thaddeus via Geometric Invariant Theory, and to give some examples of vanishing theorems for the cohomology of powers of ideal sheaves.

Affiliated with

Also associated with

No associations

Rating

Results on Secant Varieties Leading to a Geometric Flip Construction 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 Results on Secant Varieties Leading to a Geometric Flip Construction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Results on Secant Varieties Leading to a Geometric Flip Construction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-319733