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Equivariant smoothings of cusp singularities

2021
Let $p \in X$ be the germ of a cusp singularity and let $\iota$ be an antisymplectic involution, that is an involution free on $X\setminus \{p\}$ and such that there exists a nowhere vanishing holomorphic 2-form $\Omega$ on $X\setminus \{p\}$ for which $\iota^*(\Omega)=-\Omega$. We prove that a sufficient condiition for such a singularity equipped with
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An Operator Algebra on Manifolds with Cusp-Type Singularities

Annals of Global Analysis and Geometry, 1998
The algebra of pseudodifferential operators on an arbitrary smooth manifold with a finite number of points of cusp-type is investigated. A family of local cusp algebras is constructed and the local Fredholm properties are established. The Fredholm property (global) is a direct consequence of the existence of local regularizers.
Schulze, Bert-Wolfgang (Prof. Dr.)   +2 more
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The appearance of apparent horizons and `cusp' singularity

Classical and Quantum Gravity, 1994
Summary: Some one-parameter families of time-symmetric Cauchy hypersurfaces were investigated. All of them have such a property that for some `critical' value of the parameter an apparent horizon appears. It turns out that for parameter values sufficiently close to the critical one, numerous properties of the horizon are `universa' (i.e. independent of
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Resolution of the Cusp Singularities

1988
In January 1971 Hirzebruch received a letter from Serre in which he was asked whether he knew how to resolve the cusp singularities of Hilbert modular surfaces. Hirzebruch’s answer consisted in a long letter (dated 18 January 1971) in which he explained the resolution process discovered by him just a few days before Serre’s letter arrived.
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Real forms of cusp singularities

Mathematical Proceedings of the Cambridge Philosophical Society, 1986
Cusp singularities were introduced and described in detail in Hirzebruch's fundamental paper [3] (se recall some of the basic results in § 1 below). They form a natural and well-behaved class, included in Laufer's ‘minimally elliptic’ singularities [5].
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Cusp solitons and cusp-like singular solutions for nonlinear equations

Chaos, Solitons & Fractals, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiao, Zhijun, Qiao, Xin Brian
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DETECTION AND CHARACTERIZATION OF CUSP SINGULARITIES

Fractals
Studies on nonlinear analysis of system dynamics have increased in recent years. Since most systems that exist in nature have complex dynamics and therefore exhibit nonlinear behavior; there are various methods and theories developed in this context. Self-similar functions are mathematical functions exhibiting self-similar and scale-invariant behaviors
SELİN BÜYÜKTAŞ, DENİZ KARAÇOR
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CUSP SINGULARITIES GIVEN BY REFLECTIONS OF STELLABLE CONES

International Journal of Mathematics, 1991
The author builds ``Tsuchihashi cusps'' [\textit{H. Tsuchihashi}, Tôhoku Math. J., II. Ser. 35, 607-639 (1983; Zbl 0585.14004)] (this is a generalization of Hilbert modular cusp singularities). Such a singularity is defined by a pair \((C,\Gamma)\) of an open convex cone \(C\subset\mathbb{R}^ n\) and a discrete group \(\Gamma\subset GL(n,\mathbb{Z ...
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