4,803 research outputs found
Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields
In this article, we study local zeta functions attached to Laurent
polynomials over p-adic fields, which are non-degenerate with respect to their
Newton polytopes at infinity. As an application we obtain asymptotic expansions
for p-adic oscillatory integrals attached to Laurent polynomials. We show the
existence of two different asymptotic expansions for p-adic oscillatory
integrals, one when the absolute value of the parameter approaches infinity,
the other when the absolute value of the parameter approaches zero. These two
asymptotic expansions are controlled by the poles of twisted local zeta
functions of Igusa type.Comment: The condition on the critical set on the mapping f considered in
Section 2.5 of our article is not sufficient to assure the vanishing of the
twisted local zeta functions (for almost all the characters) as we assert in
Theorem 3.9. A new condition on the mapping f is provide
Poles of Archimedean zeta functions for analytic mappings
In this paper, we give a description of the possible poles of the local zeta
function attached to a complex or real analytic mapping in terms of a
log-principalization of an ideal associated to the mapping. When the mapping is
a non-degenerate one, we give an explicit list for the possible poles of the
corresponding local zeta function in terms of the normal vectors to the
supporting hyperplanes of a Newton polyhedron attached to the mapping, and some
additional vectors (or rays) that appear in the construction of a simplicial
conical subdivision of the first orthant. These results extend the
corresponding results of Varchenko to the case l\geq1, and K=R or C. In the
case l=1 and K=R, Denef and Sargos proved that the candidates poles induced by
the extra rays required in the construction of a simplicial conical subdivision
can be discarded from the list of candidate poles. We extend the Denef-Sargos
result arbitrary l\geq1. This yields in general a much shorter list of
candidate poles, that can moreover be read off immediately from the Newton
polyhedron
Structure of semisimple Hopf algebras of dimension
Let be prime numbers with , and an algebraically closed
field of characteristic 0. We show that semisimple Hopf algebras of dimension
can be constructed either from group algebras and their duals by means
of extensions, or from Radford biproduct R#kG, where is the group
algebra of group of order , is a semisimple Yetter-Drinfeld Hopf
algebra in of dimension . As an application,
the special case that the structure of semisimple Hopf algebras of dimension
is given.Comment: 11pages, to appear in Communications in Algebr
Modelling the phase and chemical equilibria of aqueous solutions of alkanolamines and carbon dioxide using the SAFT-γ SW group contribution approach
p>All computational data for figures presented in the publication/p
The Majorization Arrow in Quantum Algorithm Design
We apply majorization theory to study the quantum algorithms known so far and
find that there is a majorization principle underlying the way they operate.
Grover's algorithm is a neat instance of this principle where majorization
works step by step until the optimal target state is found. Extensions of this
situation are also found in algorithms based in quantum adiabatic evolution and
the family of quantum phase-estimation algorithms, including Shor's algorithm.
We state that in quantum algorithms the time arrow is a majorization arrow.Comment: REVTEX4.b4 file, 4 color figures (typos corrected.
Cartier and Weil Divisors on Varieties with Quotient Singularities
The main goal of this paper is to show that the notions of Weil and Cartier
-divisors coincide for -manifolds and give a procedure to
express a rational Weil divisor as a rational Cartier divisor. The theory is
illustrated on weighted projective spaces and weighted blow-ups.Comment: 16 page
Combined use of the GGSFT data base and on Board Marine Collected Data to Model the Moho Beneath the Powell Basin, Antarctica
The Powell Basin is a small oceanic basin located at the NE end of the Antarctic Peninsula developed during the Early Miocene and mostly surrounded by the continental crusts of the South Orkney Microcontinent, South Scotia Ridge and Antarctic Peninsula margins. Gravity data from the SCAN 97 cruise obtained with the R/V Hespérides and data from the Global Gravity Grid and Sea Floor Topography (GGSFT) database (Sandwell and Smith, 1997) are used to determine the 3D geometry of the crustal-mantle interface (CMI) by numerical inversion methods. Water layer contribution and sedimentary effects were eliminated from the Free Air anomaly to obtain the total anomaly. Sedimentary effects were obtained from the analysis of existing and new SCAN 97 multichannel seismic profiles (MCS). The regional anomaly was obtained after spectral and filtering processes. The smooth 3D geometry of the crustal mantle interface obtained after inversion of the regional anomaly shows an increase in the thickness of the crust towards the continental margins and a NW-SE oriented axis of symmetry coinciding with the position of an older oceanic spreading axis. This interface shows a moderate uplift towards the western part and depicts two main uplifts to the northern and eastern sectors
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