Results 11 to 20 of about 18,450 (294)
On the Links of Simple Singularities, Simple Elliptic Singularities and Cusp Singularities
This is a survey article about the study of the links of some complex hypersurface singularities in ℂ3 . We study the links of simple singularities, simple elliptic singularities and cusp singularities, and the canonical contact structures on them. It is
Kasuya Naohik
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Tsuchihashi's cusp singularities are Buchsbaum singularities [PDF]
A Noetherian local ring \(A\) is said to be Buchsbaum if the difference \(\text{length}(A/I)-\text{mult}(I,A)\), defined for any ideal \(I\) generated by a system of parameters, is independent of \(I\). A Cohen-Macaulay ring is Buchsbaum; in fact, \(A\) is Cohen-Macaulay if and only if the above difference is zero for all \(I\). \textit{H. Tsuchihashi}
Masanori Ishida
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The continuity equation with cusp singularities [PDF]
In this paper we study a special case of the completion of cusp Kähler-Einstein metric on the regular part of varieties by taking the continuity method proposed by La Nave and Tian. The differential geometric and algebro-geometric properties of the noncollapsing limit in the continuity method with cusp singularities will be investigated.
Yan Li
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Equivariant smoothings of cusp singularities
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
Angelica Simonetti
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Around the cusp singularity and the breaking of waves [PDF]
WAVES is an “Art-Science” project on water surface waves. The authors aim to visualize the behaviour of water waves during their evolution: generation, focusing and breaking. Relying on the general property of waves to focus when properly generated or reflected, the authors use a parabolically shaped wave maker to focus water waves in a region of the ...
J. Tejerina-Risso, Patrice Le Gal
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Plane curves whose singular points are cusps [PDF]
Let C C be an irreducible curve of degree d d in the complex projective plane. We assume that each singular point is a one place point with multiplicity 2 or 3. Let σ \sigma be the sum of "the Milnor numbers" of the singularities. Then we shall show that 7 σ > 6
Hisao Yoshihara
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Equivariant smoothing of cusp singularities [PDF]
We generalize Looijenga's conjecture for smoothing surface cusp singularities to the equivariant setting. Moreover, we prove that for any cusp singularity which admits a one-parameter smoothing, the smoothing can always be induced by smoothing of locally complete intersection cusps. The result provides evidence for the existence of the moduli stack of $
Yunfeng Jiang
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Deformations of three-dimensional cusp singularities [PDF]
The author continues his investigation of cusp singularities [ibid. 35, 607-639 (1983; Zbl 0585.14004)]. This time he studies deformations of 3- dimensional cusp singularities (V,p), which are not of Hilbert modular type. [The Hilbert modular cusp singularities in dimension 3 or more are rigid, see \textit{E. Freitag} and \textit{R.
Hiroyasu Tsuchihashi
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The boundary value problem for the steady Navier–Stokes system is considered in a 2D multiply-connected bounded domain with the boundary having a power cusp singularity at the point O.
Kristina Kaulakytė +1 more
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Multifractal structure of turbulence in the magnetospheric cusp [PDF]
Magnetospheric cusps are regions which are characterized by highly turbulent plasma. We have used Polar magnetic field data to study the structure of turbulence in the cusp region. The wavelet transform modulus maxima method (WTMM) has been applied to
E. Yordanova +5 more
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