The 'corrected Durfee's inequality' for homogeneous complete intersections

Details The 'corrected Durfee's inequality' for homogeneous complete intersections The 'corrected Durfee's inequality' for homogeneous complete intersections

2011-11-06

arxiv.org/abs/1111.1411v2

Mathematics

Algebraic Geometry

10 pages

Scientific paper

We address the conjecture of [Durfee1978], bounding the singularity genus, p_g, by a multiple of the Milnor number, \mu, for an n-dimensional isolated complete intersection singularity. We show that the original conjecture of Durfee, namely n +1)!p_g\leq\mu, fails whenever the codimension r is greater than one. Moreover, we proposed a new inequality, and we verify it for homogeneous complete intersections. In the homogeneous case the inequality is guided by a `combinatorial inequality', that might have an independent interest.

Affiliated with

Also associated with

No associations

Rating

The 'corrected Durfee's inequality' for homogeneous complete intersections 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 The 'corrected Durfee's inequality' for homogeneous complete intersections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The 'corrected Durfee's inequality' for homogeneous complete intersections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-704693