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Perverse Sheaves with Nilpotent Singular Support on the Stack of Coherent Sheaves on an Elliptic Curve
We define a stratification of the moduli stack of coherent sheaves on an elliptic curve which allows us (1) to give an explicit description of the...
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Galois covers of singular curves in positive characteristics
We study the étale fundamental group of a singular reduced connected curve defined over an algebraically closed field of an arbitrary prime...
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The Riemann Problem with a Condition on the Real Axis for Generalized Analytic Functions with a Singular Curve
We study the inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis for one generalized...
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Singular Points and Singular Curves in von Kármán Elastic Surfaces
Mechanical fields over thin elastic surfaces can develop singularities at isolated points and curves in response to constrained deformations (e.g.,...
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Curve shortening flow on Riemann surfaces with conical singularities
We study the curve shortening flow on Riemann surfaces with finitely many conformal conical singularities. If the initial curve is passing through...
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Curve Fitting
One of the most common ‘post-measurement’ data processing operations is curve fitting, i.e., fitting samples to a predicted expression. This is...
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Vertex operators of the KP hierarchy and singular algebraic curves
Quasi-periodic solutions of the KP hierarchy acted by vertex operators are studied. We show, with the aid of the Sato Grassmannian, that solutions...
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Other Singular Problems
In this chapter we consider methods which solve singular perturbationSingular perturbation problems which may not have boundary layers.
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The Hermann-Martin Curve
Every linear system can be naturally identified with a rational curve in a Grassmann variety. The associated curve is often referred to as...
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On the Inclination of a Parameterized Curve
Given a plane curve \(\Gamma \) parameterized by arclength...
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Symbolic Calculus for Singular Curve Operators
We define a generalization of the Töplitz quantization, suitable for operators whose Töplitz symbols are singular. We then show that singular curve...
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Singular Points and Singular Curves in von Kármán Elastic Surfaces
Mechanical fields over thin elastic surfaces can develop singularities at isolated points and curves in response to constrained deformations (e.g.,...
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Topology of Singular Foliations
We prove that the set of leaves of a singular foliation with the Nishimori relation is partially ordered if and only if all leaves are proper.
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On Singular Integral Operators with Shifts
Given p ∈ (1, ∞), the chapter is devoted to studying the Fredholmness on the space Lp( Γ) for the singular integral operator with shift...
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Reaction Forces of a Singular Pendulum
AbstractIn this paper, various types of behavior of reaction forces and Lagrange multipliers for the motion of mechanical systems with a...
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Singular contact varieties
In this note we propose the generalization of the notion of a holomorphic contact structure on a manifold (smooth variety) to varieties with rational...
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Gradient Method for Solving Singular Optimal Control Problems
Solving an optimal control problem consists in finding a control structure and corresponding switching times. Unlike in a bang-bang case, switching...