Fast Evaluation of Holonomic Functions Near and in Regular Singularities

Uniformly fast evaluation of holonomic functions

Moduli of regular holonomic D-modules with normal crossing singularities

This paper solves the global moduli problem for regular holonomic Dmodules with normal crossing singularities on a nonsingular complex projective variety. This is done by introducing a level structure (which gives rise to “pre-D-modules”), and then introducing a notion of (semi-)stability and applying Geometric Invariant Theory to construct a coarse moduli scheme for semistable pre-D-modules. A...

Moduli of Regular Holonomic -modules with Normal Crossing Singularities

a contrastive study of rhetorical functions of citation in iranian and international elt scopus journals

writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...

On Holonomic Systems of Micro - differential Equations . Ill — Systems with Regular Singularities —

This is the third of the series of the papers dealing with holonomic systems(*. A holonomic system is, by definition, a left coherent (f-Module (or ^-Modules)* whose characteristic variety is Lagrangian. It shares the finiteness theorem with a linear ordinary differential equation, namely, all the cohomology groups associated with its solution sheaf are finite dimensional ([6], [12]). Hence the...