Results 11 to 20 of about 625,134 (279)
Computation of cusp singularities for operator equations and their discretizations [PDF]
Journal of Computational and Applied Mathematics, 1989 We discuss the direct calculation of cusp singularities as solutions of a minimally augmented defining system, which is nonsingular under the canonical cusp conditions.
Andreas Griewank
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Homological mirror symmetry for hypersurface cusp singularities [PDF]
Selecta Mathematica, 2015 We study versions of homological mirror symmetry for hypersurface cusp singularities and the three hypersurface simple elliptic singularities. We show that the Milnor fibres of each of these carries a distinguished Lefschetz fibration; its derived ...
Ailsa Keating
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Infinitesimal Deformations of Cusp Singularities
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1984 Let (X,0) be a two-dimensional cusp singularity, i.e. a singularity for which the reduced exceptional divisor C in a minimal resolution \(\tilde X\to X\) is a cycle of - say r - rational curves. It is shown that for \(C\cdot C\leq -5\) the dimension of the Zariski tangent space to the base of the semi-universal deformation equals r-C\(\cdot C\).
I. Nakamura
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Semilinear waves with cusp singularities [PDF]
Journées équations aux dérivées partielles, 1987 Let P be a second order strictly hyperbolic operator with \(C^{\infty}\) coefficients in some open domain \(\Omega \subset {\mathbb{R}}^{1+n}\). The propagation of conormal regularity for bounded solutions of the (weakly) semilinear hyperbolic equation \[ (*)\quad Pu(z)=g(z,u),\quad z\in \Omega,\quad u\in L^{\infty}_{loc}(\Omega),\quad g\in C^{\infty}(\
R. Melrose
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The duality of cusp singularities
Mathematische Annalen, 1992 The notion of cusp singularities on Hilbert modular surfaces was generalized in higher dimensions by Tsuchihashi by using the theory of toric varieties. In this paper, a dual relation of the invariants of the cusp singularities which was conjectured by \textit{I. Satake} and \textit{S.
Masanori Ishida
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Middle-field cusp singularities in the magnetization process of one-dimensional quantum antiferromagnets [PDF]
Physical Review B, 1999 We study the zero-temperature magnetization process (M-H curve) of one-dimensional quantum antiferromagnets using a variant of the density-matrix renormalization group method. For both the S=1/2 zig-zag spin ladder and the S=1 bilinear-biquadratic chain,
Kouichi Okunishi, Yasuhiro Akutsu
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Deformations of three-dimensional cusp singularities
Tohoku Mathematical Journal, 1986 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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Tsuchihashi's cusp singularities are Buchsbaum singularities
Tohoku Mathematical Journal, 1984 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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Families index for manifolds with hyperbolic cusp singularities [PDF]
International Mathematics Research Notices, 2008 Manifolds with fibered hyperbolic cusp metrics include hyperbolic manifolds with cusps and locally symmetric spaces of Q-rank one. We extend Vaillant's treatment of Dirac-type operators associated to these metrics by weaking the hypotheses on the ...
Pierre Albin, Frédéric Rochon
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A note on nonremovable cusp singularities
Hiroshima Mathematical Journal, 2001 Let \(f:M^4\to N^3\) be a smooth map. The author proves that if \(N^3\) is an orientable 3-manifold and \(M^4\) is a closed orientable 4-manifold such that \(\text{rank}_\mathbb{Z} H_2(M^4, \mathbb{Z}_2)=1\), then there does not exist a smooth map \(f:M^4\to N^3\) with only fold singularities. As a consequence he proves that every stable map \(f:M^4\to
K. Sakuma
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