11 citations · 21 across the 11 of their papers we have counts for
11 papers
Brieskorn module and Center conditions: pull-back of differential equations in projective space
Yadollah Zare, Susumu Tanabe
The moduli space of algebraic foliations on P2 of a fixed degree and with a center singularity has many irreducible components. We find a basis of the Brieskorn module defined for…
Asymptotic critical value set and Newton polyhedron
Susumu Tanabé, Abuzer Gunduz
We present an effective method to investigate the asymptotic critical value set of a polynomial map. For this purpose we propose a method to construct rational curves with reduced…
Period integrals associated to an affine Delsarte type hypersurface
Susumu Tanabe
We calculate the period integrals for a special class of affine hypersurfaces (deformed Delsarte hypersurfaces) in an algebraic torus by the aid of their Mellin transforms. A descr…
Towards effective detection of the bifurcation locus of real polynomial maps
Luis Renato G. Dias, Susumu Tanabé, Mihai Tibar
We answer to a problem raised by recent work of Jelonek and Kurdyka: how can one detect by rational arcs the bifurcation locus of a polynomial map $\bR^n\to\bR^p$ in case . We…
Maximally reducible monodromy of bivariate hypergeometric systems
Timur Sadykov, Susumu Tanabé
We investigate branching of solutions to holonomic bivariate hypergeometric systems of Horn's type. Special attention is paid to the invariant subspace of Puiseux polynomial soluti…
Invariants of hypergeometric groups for Calabi-Yau complete intersections in weighted projective spaces
Susumu Tanabe, Kazushi Ueda
Let Y be a Calabi-Yau complete intersection in a weighted projective space. We show that the space of quadratic invariants of the hypergeometric group associated with the twisted I…