Quantization, Classical and Quantum Field Theory and Theta - Functions

Details Quantization, Classical and Quantum Field Theory and Theta - Functions Quantization, Classical and Quantum Field Theory and Theta - Functions

2002-10-30

arxiv.org/abs/math/0210466v1

Mathematics

Algebraic Geometry

To Igor Rostislavovich Shafarevich on his 80th birthday (will be published by CRS, Canada)

Scientific paper

In the abelian case (the subject of several beautiful books) fixing some combinatorial structure (so called theta structure of level k) one obtains a special basis in the space of sections of canonical polarization powers over the jacobians. These sections can be presented as holomorphic functions on the "abelian Schottky space". This fact provides various applications of these concrete analytic formulas to the integrable systems, classical mechanics and PDE's. Our practical goal is to do the same in the non abelian case that is to give an answer to the Beauville's question. In future we hope to extend this digest to a mathematical mohograph with title "VBAC".

Affiliated with

Also associated with

No associations

Rating

Quantization, Classical and Quantum Field Theory and Theta - Functions 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 Quantization, Classical and Quantum Field Theory and Theta - Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantization, Classical and Quantum Field Theory and Theta - Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-534981