Families of determinantal schemes

Details Families of determinantal schemes Families of determinantal schemes

2009-12-31

arxiv.org/abs/1001.0162v2

Proc. Amer. Math. Soc. 139 (2011), 3831-3843

Mathematics

Algebraic Geometry

The non-emptiness of W(b;a) is restated as (2.2) in this version; the codimension c=2 case in (2.5)-(2.6) is reconsidered, and

Scientific paper

Given integers a_0 \le a_1 \le ... \le a_{t+c-2} and b_1 \le ... \le b_t, we denote by W(b;a) \subset Hilb^p(\PP^{n}) the locus of good determinantal schemes X \subset \PP^{n} of codimension c defined by the maximal minors of a t x (t+c-1) homogeneous matrix with entries homogeneous polynomials of degree a_j-b_i. The goal of this short note is to extend and complete the results given by the authors in [10] and determine under weakened numerical assumptions the dimension of W(b;a), as well as whether the closure of W(b;a) is a generically smooth irreducible component of the Hilbert scheme Hilb^p(\PP^{n}).

Affiliated with

Also associated with

No associations

Rating

Families of determinantal schemes 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 Families of determinantal schemes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Families of determinantal schemes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-104804