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Mathematics: Recent submissions
Now showing items 301-320 of 462
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Asymptotically simple spacetime manifolds
(American Institute of Physics, 1974-02-01)Asymptotic simplicity is shown to be k‐stable (k≥3) at any Minkowski metric on R4 in both the Whitney fine Ck topology and a coarser topology (in which the Ck twice‐convariant symmetric tensors form a Banach manifold whose ... -
Twistors and induced representations of SU(2,2)
(American Institute of Physics, 197-04-01)We give an explicit realization of a series of representations of SU(2,2) induced by R+⊕SL(2,C). Vectors in these representation spaces are homogeneous spinor‐valued functions of two twistor variables. They may also be ... -
Complex p p waves and the nonlinear graviton construction
(American Institute of Physics, 1978-04-12)We show how to construct all of the complex p p waves using the nonlinear graviton construction of Penrose. -
Complex line bundles in relativity
(American Institute of Physics, 1978-02-01)We exhibit the complexified spin and conformally weighted functions as sections of holomorphic line bundles over P 1(C) ×P 1(C). As an example of a nontrivial bundle, we discuss the complex null cone in some detail. -
The Divisor Classes of the Hypersurface zpm = G(I1,...,In) in charcteristic p>0
(American Mathematical Society, 1983-08-01) -
A note on asymptotic prime sequences
(American Mathematical Society, 1983-03-01)The lengths of all maximal asymptotic prime sequences over an ideal in a local ring are shown to be the same. This number can be calculated in terms of analytic spread and depths of minimal primes in the completion. -
Note on multiplicity
(American Mathematical Society, 1988-12-01) -
Generating ideals up to projective equivalence
(American Mathematical Society, 1994-01-01)It is shown that every ideal in a commutative Noetherian ring of dimension d is projectively equivalent to an ideal having d + 1 generators. -
Castelnuovo regularity and graded rings associated to an ideal
(American Mathematical Society, 1995-03-01)We compare the Castelnuovo regularity defined with respect to different homogeneous ideals in a graded ring and use the result we obtain to prove a generalized Goto-Shimoda theorem for ideals of positive height in a ... -
Symmetric powers of complete modules over a two-dimensional regular local ring
(American Mathematical Society, 1997-02-02) -
On the existence of maximal Cohen-Macaulay modules over pth root extensions
(American Mathematical Society, 1999-04-15) -
A linear function associated to asymptotic prime divisors
(American Mathematical Society, 2003-10-21) -
On the degree of Hilbert polynomials associated with the torsion functor
(American Mathematical Society, 2009-05-14) -
Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg–de Vries Equation9
(Society for Industrial and Applied Mathematics, 2009-11-18)In this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg–de Vries equation $u_t=u_{xxx}+f(u)_x$. In particular, we derive sufficient ... -
Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev–Petviashvili Equation
(Society for Industrial and Applied Mathematics, 2010-10-21)In this paper, we investigate the spectral instability of periodic traveling wave solutions of the generalized Korteweg–de Vries equation to long wavelength transverse perturbations in the generalized Kadomtsev–Petviashvili ... -
Nonlinear Stability of Viscous Roll Waves
(Society for Industrial and Applied Mathematics, 2011-03-01)Extending results of Oh and Zumbrun and of Johnson and Zumbrun for parabolic conservation laws, we show that spectral stability implies nonlinear stability for spatially periodic viscous roll wave solutions of the ... -
Nonlinear Stability of Periodic Traveling Wave Solutions of Viscous Conservation Laws in Dimensions One and Two
(Society for Industrial and Applied Mathematics, 2011-01-01)Extending results of Oh and Zumbrun in dimensions $d\geq3$, we establish nonlinear stability and asymptotic behavior of spatially periodic traveling-wave solutions of viscous systems of conservation laws in critical ... -
Convergence of Hill's Method for Nonselfadjoint Operators
(Society for Industrial and Applied Mathematics, 2012-01-01)By the introduction of a generalized Evans function defined by an appropriate 2-modified Fredholm determinant, we give a simple proof of convergence in location and multiplicity of Hill's method for numerical approximation ... -
A note on finite abelian gerbes over toric Deligne-Mumford stacks
(American Mathematical Society, 2008-07-01) -
The pseudospectral method for third-order differential equations
(Society for Industrial and Applied Mathematics, 1992-12-01)Generalized quadrature rules are derived which assist in the selection of collocation points for the pseudospectral solution of differential equations. In particular, it is shown that for an nth-order differential equation ...