Theta functions and mirror symmetry

Details Theta functions and mirror symmetry Theta functions and mirror symmetry

2012-04-09

arxiv.org/abs/1204.1991v1

Mathematics

Algebraic Geometry

43 pages, 21 figures. Written for the JDG2011 conference

Scientific paper

This is a survey covering aspects of varied work of the authors with Mohammed Abouzaid, Paul Hacking, and Sean Keel. While theta functions are traditionally canonical sections of ample line bundles on abelian varieties, we motivate, using mirror symmetry, the idea that theta functions exist in much greater generality. This suggestion originates with the work of the late Andrei Tyurin. We outline how to construct theta functions on the degenerations of varieties constructed in previous work of the authors, and then explain applications of this construction to homological mirror symmetry and constructions of broad classes of mirror varieties.

Affiliated with

Also associated with

No associations

Rating

Theta functions and mirror symmetry 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 Theta functions and mirror symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theta functions and mirror symmetry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-643701