Counting of holomorphic orbi-spheres in (Formula presented) and determinant equations

Hansol Hong, Hyung Seok Shin

Research output: Contribution to journalArticle

Abstract

We count the number of holomorphic orbi-spheres in the ℤ2-quotient of an elliptic curve. We first prove that there is an explicit correspondence between the holomorphic orbi-spheres and the sublet-tices of (formula presented). The problem of counting sublattices of index d then reduces to find the number of integer solutions of the equation αδ βγ = d up to an equivalence.

Original languageEnglish
Pages (from-to)603-629
Number of pages27
JournalNew York Journal of Mathematics
Volume23
Publication statusPublished - 2017 May 31

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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