Pillow Degenerations of K3 Surfaces

Details Pillow Degenerations of K3 Surfaces Pillow Degenerations of K3 Surfaces

2002-09-23

arxiv.org/abs/math/0209297v1

In: "Applications of Algebraic Geometry to Coding Theory, Physics, and Computation", NATO Science Series II, Vol. 36 (2001), 5

Mathematics

Algebraic Geometry

10 pages

Scientific paper

In this article we construct a specific projective degeneration of K3 surfaces of degree 2g-2 in P^g to a union of 2g-2 planes, which meet in such a way that the combinatorics of the configuration of planes is a triangulation of the 2-sphere. Abstractly, such degenerations are said to be Type III degenerations of K3 surfaces. Although the birational geometry of such degenerations is fairly well understood, the study of projective degenerations is not nearly as completely developed. In this article we construct degenerations for which the general member is embedded by a multiple of the primitive line bundle class.

Affiliated with

Also associated with

No associations

Rating

Pillow Degenerations of K3 Surfaces 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 Pillow Degenerations of K3 Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pillow Degenerations of K3 Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577007