Characterizing normal crossing hypersurfaces

Details Characterizing normal crossing hypersurfaces Characterizing normal crossing hypersurfaces

2012-01-30

arxiv.org/abs/1201.6276v1

Mathematics

Algebraic Geometry

23 pages, 2 figures

Scientific paper

The objective of this article is to give an effective algebraic characterization of normal crossing hypersurfaces in complex manifolds. It is shown that a hypersurface has normal crossings if and only if it is a free divisor, has a radical Jacobian ideal and a smooth normalization. Using K. Saito's theory of free divisors, also a characterization in terms of logarithmic differential forms and vector fields is found and and finally another one in terms of the logarithmic residue using recent results of M. Granger and M. Schulze.

Affiliated with

Also associated with

No associations

Rating

Characterizing normal crossing hypersurfaces 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 Characterizing normal crossing hypersurfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characterizing normal crossing hypersurfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-360108