Symbolic powers versus regular powers of ideals of general points in P^1 x P^1

Details Symbolic powers versus regular powers of ideals of general points in P^1 x P^1 Symbolic powers versus regular powers of ideals of general points in P^1 x P^1

2011-07-25

arxiv.org/abs/1107.4906v2

Mathematics

Commutative Algebra

20 pages; some material taken out of the previous version and put in a new paper (1202.4370) in expanded form

Scientific paper

Recent work of Ein-Lazarsfeld-Smith and Hochster-Huneke raised the problem of which symbolic powers of an ideal are contained in a given ordinary power of the ideal. Bocci-Harbourne developed methods to address this problem, which involve asymptotic numerical characters of symbolic powers of the ideals. Most of the work done up to now has been done for ideals defining 0-dimensional subschemes of projective space. Here we focus on certain subschemes given by a union of lines in ${\bf P}^3$ which can also be viewed as points in ${\bf P}^1\times {\bf P}^1$. We also obtain results on the closely related problem, studied by Hochster and by Li-Swanson, of determining situations for which each symbolic power of an ideal is an ordinary power.

Affiliated with

Also associated with

No associations

Rating

Symbolic powers versus regular powers of ideals of general points in P^1 x P^1 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 Symbolic powers versus regular powers of ideals of general points in P^1 x P^1, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symbolic powers versus regular powers of ideals of general points in P^1 x P^1 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-572491