Configuration of points and strings

Details Configuration of points and strings Configuration of points and strings

2006-02-15

arxiv.org/abs/math/0602329v2

Journal of Geometry and Physics 61 (2011), pp. 1158-1180

Mathematics

Algebraic Geometry

32 pages, 1 figure this version will appear in Journal of Geometry and Physics

Scientific paper

10.1016/j.geomphys.2010.09.012

Let $X$ be a smooth projective variety of dimension $n\geq 2$. It is shown that a finite configuration of points on $X$ subject to certain geometric conditions possesses rich inner structure. On the mathematical level this inner structure is a variation of Hodge-like structure. As a consequence one can attach to such point configurations: (i) Lie algebras and their representations (ii) Fano toric variety whose hyperplane sections are Calabi-Yau varieties. These features lead to a picture which is very suggestive of quantum gravity according to string theory.

Affiliated with

Also associated with

No associations

Rating

Configuration of points and strings 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 Configuration of points and strings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Configuration of points and strings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-255301