Search
Search Results
-
Logarithmic Comparison Theorems
In this chapter we study the comparison between the logarithmic and the meromorphic de Rham complexes along a divisor in a complex manifold. We focus...
-
Mellin Transform and Integro-Differential Equations with Logarithmic Singularity in the Kernel
AbstractIn the one-dimensional domain it is studied the unique solvability of a class of integro-differential equations with logarithmic singularity...
-
Relative and Logarithmic Resolution of Singularities
When working on this chapter my original plan was to provide an expanded version of lecture notes of a mini-course on logarithmic resolution and...
-
Introduction to Logarithmic Geometry
These chapter is based on a minicourse on logarithmic resolution of singularities given by the author, and it provides an extended version of its...
-
Coefficient Asymptotics of Algebraic Multivariable Generating Functions
Analytic combinatorics in several variables (ACSV) seeks to extract the asymptotic behavior of coefficients from a generating function in several...
-
Algebraic foliations and derived geometry: the Riemann–Hilbert correspondence
This is the first in a series of papers about foliations in derived geometry. After introducing derived foliations on arbitrary derived stacks, we...
-
Bruce–Roberts numbers and quasihomogeneous functions on analytic varieties
Given a germ of an analytic variety X and a germ of a holomorphic function f with a stratified isolated singularity with respect to the logarithmic...
-
A Numerical Method for Solving Fredholm Integral Equations of the First Kind with Logarithmic Kernels and Singular Unknown Functions
In this paper, we present a numerical method for solving singular Fredholm integral equations of the first kind. The method is based on the...
-
A Fast Solver for Generalized Optimal Transport Problems Based on Dynamical System and Algebraic Multigrid
This work provides an inexact primal-dual algorithm for a large class of optimal transport problems. It is based on the implicit Euler discretization...
-
Algebraic Versus Geometric Thought and Expression in the Early Calculus
The language of the early calculus was much more geometrical than the analytic and algebraic style that was pioneered by Euler and still dominates...
-
Schlesinger Transformations for Algebraic Painlevé VI Solutions
Schlesinger ( S ) transformations can be combined with a direct rational ( R ) pull-back of a hypergeometric 2 × 2 system of ODEs to obtain
... -
Asymptotics and Darboux’s method
Asymptotics of Taylor coefficients may be obtained from singulaties on the circle of convergence. Algebraic and logarithmic singularities are...
-
On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations
A family of singularly perturbed q -difference-differential equations under the action of a small complex perturbation parameter is studied. The...
-
Rolle Models in the Real and Complex World
Numerous problems of analysis (real and complex) and geometry (analytic, algebraic, Diophantine e.a.) can be reduced to calculation of the “number of...
-
Estimates for coefficients in Jacobi series for functions with limited regularity by fractional calculus
In this paper, optimal estimates on the decaying rates of Jacobi expansion coefficients are obtained by fractional calculus for functions with...
-
An Algorithm for Computing Torsion Differential Forms Associated with an Isolated Hypersurface Singularity
The torsion module of Kähler differential forms is considered in the context of symbolic computation. Relations between logarithmic differential...
-
Foliations with Algebraic Limit Sets
In this chapter we introduce and study the notion of limit set of a holomorphic foliation with singularities. We focus on the case of foliations on...
-
On the Complexity of Computing the Topology of Real Algebraic Space Curves
This paper presents an algorithm to compute the topology of an algebraic space curve. This is a modified version of the previous algorithm....