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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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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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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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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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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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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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Transcendental Lattices of Certain Singular K3 Surfaces
We compute the transcendental lattices of the singular K3 surfaces belonging to three pencils of K3 surfaces, namely the Apéry–Fermi pencil with...
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Jacobian and Polar Curves of Singular Foliations
In this survey we describe results concerning topological properties of polar and jacobian curves of foliations. We also describe how invariants...
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Catenaries and Singular Minimal Surfaces in the Simply Isotropic Space
This paper investigates the hanging chain problem in the simply isotropic plane and its 2-dimensional analog in the simply isotropic space. The...
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Equi-affine plane curves with singular points
We deal with not only regular equi-affine plane curves with inflection points but also singular equi-affine plane curves (equi-affine plane curves...
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Interlude: Singular Distributions of Defects in Bodies
The theory of de Rham currents enables an extension of the geometric theory of smooth distribution of defects, as in Chap. 7...
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Relationships between inessential, strictly singular, strictly cosingular and improjective linear relations
This paper is devoted to study the interrelations between inessential, improjective, strictly singular and strictly cosingular linear relations....