Flat structure for the simple elliptic singularity of type $\widetilde {\bf E_6}$ and Jacobi form

Details Flat structure for the simple elliptic singularity of type $\widetilde {\bf E_6}$ and Jacobi form Flat structure for the simple elliptic singularity of type $\widetilde {\bf E_6}$ and Jacobi form

1993-07-02

arxiv.org/abs/hep-th/9307009v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

In order to construct the inverse mapping of the period mapping for the primitive form for the semi-universal deformation of a simple elliptic singularity, K.Saito introduced in [5] the ``flat structure'' for the extended affine root system. In section 3, we construct explicitly the flat theta invariants in the case of type $E_6$ using the Jacobi form introduced by Wirthm\"uller [7]. Combining the results of Kato [3], Noumi [4] (explicit description of the flat coordinates), this gives an answer to Jacobi's inversion problem (up to linear isomorphism) of this period mapping for a simple elliptic singularity of type $\tilde E_6$ (see also [6]). The details will be published elsewhere.

Affiliated with

Also associated with

No associations

Rating

Flat structure for the simple elliptic singularity of type $\widetilde {\bf E_6}$ and Jacobi form 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 Flat structure for the simple elliptic singularity of type $\widetilde {\bf E_6}$ and Jacobi form, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Flat structure for the simple elliptic singularity of type $\widetilde {\bf E_6}$ and Jacobi form will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-488497