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A hyperelliptic curve map** to specified elliptic curves
If an ordered 13-tuple ( E 1 , …, E 13 ) of elliptic curves over ℂ is sufficiently general, there is no hyperelliptic curve which admits a non-trivial...
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Gorenstein curve singularities of genus three
We classify the analytic germs of isolated Gorenstein curve singularities of genus three, and relate them to the connected components of strata of...
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On Estimates for Maximal Operators Associated with Singular Surfaces
AbstractThe paper deals with boundedness problem for maximal operators associated with singular surfaces given by parametric equations in
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On Definitions of Finsler Spaces and Axiomatics of Singular Finsler Geometry
A review of various approaches to the concept of a Finsler space based on different definitions is given. In particular, the axiomatics of a singular...
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The singular evolutoids set and the extended evolutoids front
In this paper we introduce the notion of the singular evolutoid set which is the set of all singular points of all evolutoids of a fixed smooth...
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Singular Integral Operators with a Generalized Cauchy Kernel
AbstractSingular integral operators with piecewise continuous matrix coefficients are considered on a piecewise smooth curve in weighted Lebesgue...
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The Arnold conjecture for singular symplectic manifolds
In this article, we study the Hamiltonian dynamics on singular symplectic manifolds and prove the Arnold conjecture for a large class of
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Classification of singular del Pezzo surfaces over finite fields
In this article, we consider weak del Pezzo surfaces defined over a finite field, and their associated, singular, anticanonical models. We first...
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Construction of Free Curves by Adding Lines to a Given Curve
In the present note we construct new families of free plane curves starting from a curve C and adding high order inflectional tangent lines of C ,...
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Spin–orbit synchronization and singular perturbation theory
In this study, we formulate a set of differential equations for a binary system to describe the secular-tidal evolution of orbital elements,...
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Singular symplectic spaces and holomorphic membranes
We set up a topological framework for degenerations of symplectic manifolds into singular spaces paying a special attention to the behavior of...
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Some results on the compactified Jacobian of a nodal curve
Let Y be an integral nodal curve. We show that the connected component of the moduli space of torsion free sheaves of rank 1 on the compactified...
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On character varieties of singular manifolds
In this paper, we construct a lax monoidal Topological Quantum Field Theory that computes virtual classes, in the Grothendieck ring of algebraic...
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Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations
In this paper, we provide a geometric analysis of a new hysteresis model that is based upon singular perturbations. Here hysteresis refers to a type...
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On Singular Del Pezzo Hypersurfaces of Index 3
We determine the existence of Kähler-Einstein metrics on singular del Pezzo surfaces with quotient singularities which are hypersurfaces of index 3...
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Orbifolds and the Modular Curve
We provide an account of the construction of the moduli stack of elliptic curves as an analytic orbifold. While intimately linked to Thurston’s point...
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Approximate Solution of a Dominant Singular Integral Equation with Conjugation
We use the method of successive approximations and Faber polynomials to obtain an approximate solution of a dominant singular integral equation with...
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Decomposition and conformal map** techniques for the quadrature of nearly singular integrals
Gauss–Legendre quadrature, Clenshaw–Curtis quadrature and the trapezoid rule are powerful tools for numerical integration of analytic functions. For...
