Regularity of subschemes invariant under Pfaff fields on projective spaces

Mathematics – Algebraic Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

A Pfaff field on a projective space is a map from the sheaf of differential s-forms, for a certain s, to an invertible sheaf. The interesting ones are those arising from a Pfaff system, as they give rise to a distribution away from their singular locus. A subscheme of the projective space is said to be invariant under the Pfaff field, if the latter induces a Pfaff field on the subscheme. We give bounds for the Castelnuovo-Mumford regularity of invariant complete intersection subschemes (more generally, arithmetically Cohen-Macaulay subschemes) of dimension s, depending on how singular these schemes are, thus bounding the degrees of the hypersurfaces that cut them out.

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

Regularity of subschemes invariant under Pfaff fields on projective spaces 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 Regularity of subschemes invariant under Pfaff fields on projective spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularity of subschemes invariant under Pfaff fields on projective spaces will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-357422

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