53 citations · 73 across the 11 of their papers we have counts for
20 papers
Principal Matroid Determinants
Saiei-Jaeyeong Matsubara-Heo, Simon Telen
We develop a theory of principal determinants and hypergeometric systems for realizable matroids. Our framework parallels the toric theory of Gel'fand, Kapranov, and Zelevinsky (GK…
Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces
Masanori Asakura, Saiei-Jaeyeong Matsubara-Heo
For a generic one-parameter degeneration of projective hypersurfaces, we show that the periods of the limiting mixed Hodge structure are generated by certain special values of loga…
Differential Space of Feynman Integrals: Annihilators and -module
Vsevolod Chestnov, Wojciech Flieger, Pierpaolo Mastrolia +3
We present a novel algorithm for constructing differential operators with respect to external variables that annihilate Feynman-like integrals and give rise to the associated $\mat…
Hypergeometric Discriminants
Saiei-Jaeyeong Matsubara-Heo
Given a family of varieties, the Euler discriminant locus distinguishes points where Euler characteristic differs from its generic value. We introduce a hypergeometric system assoc…
Euler Discriminant of Complements of Hyperplanes
Claudia Fevola, Saiei-Jaeyeong Matsubara-Heo
The Euler discriminant of a family of very affine varieties is defined as the locus where the Euler characteristic drops. In this work, we study the Euler discriminant of families…
Generalized hypergeometric functions with several variables
Saiei-Jaeyeong Matsubara-Heo, Toshio Oshima
We introduce a hypergoemetirc series with two complex variables, which generalizes Appell's, Lauricella's and Kempé de Fériet's hypergeometric series, and study the system of diffe…