Parallel Kustin--Miller unprojection with an application to Calabi--Yau geometry

Details Parallel Kustin--Miller unprojection with an application to Calabi--Yau geometry Parallel Kustin--Miller unprojection with an application to Calabi--Yau geometry

2009-03-07

arxiv.org/abs/0903.1335v2

Mathematics

Algebraic Geometry

25 pages. v2: Applications in Section 4 expanded

Scientific paper

Kustin--Miller unprojection constructs more complicated Gorenstein rings from simpler ones. Geometrically, it inverts certain projections, and appears in the constructions of explicit birational geometry. However, it is often desirable to perform not only one but a series of unprojections. The main aim of the present paper is to develop a theory, which we call parallel Kustin--Miller unprojection, that applies when all the unprojection ideals of a series of unprojections correspond to ideals already present in the initial ring. As an application of the theory, we explicitly construct 7 families of Calabi--Yau 3-folds of high codimensions.

Affiliated with

Also associated with

No associations

Rating

Parallel Kustin--Miller unprojection with an application to Calabi--Yau geometry 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 Parallel Kustin--Miller unprojection with an application to Calabi--Yau geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parallel Kustin--Miller unprojection with an application to Calabi--Yau geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670659