2003/02/12 by Byungheup Jun, Jun, Byungheup
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG
paper · pdf · doi:10.48550/arxiv.math/0302149
arxiv created 2003/02/12 · openalex publication_date 2003/02/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we calculate the period determinant of an irrgular singular connection d+dy on the legendre curve U: y2 =x(x-1)(x- lambda). We calculate its de Rham cohomology and the cycles in the homology of the dual connection and describe the period matrix. Terasoma's work is introduced to approximate the direct image connection pi_*(∇) by a sequence of regular connections as an intermediate step where pi:U -> A1(y), (x,y) |-> y. Finally, we will compare the period obtained by this approximation of the direct image connection and the original.