33,532 research outputs found
The weight reduction of mod Siegel modular forms for
In this paper we investigate the (classical) weights of mod Siegel
modular forms of degree 2 toward studying Serre's conjecture for . We
first construct various theta operators on the space of such forms a la Katz
and define the theta cycles for the specific theta operators. Secondly we study
the partial Hasse invariants on each Ekedahl-Oort strata and their local
behaviors. This enable us to obtain a kind of weight reduction theorem for mod
Siegel modular forms of degree 2 without increasing level.Comment: This is an extended version of my previous article entitled as "The
weight in Serre's conjecture for ". Lots of revisions have mad
Module categories of simple current extensions of vertex operator algebras
In this article, we study module categries of simple current extensions of
vertex operator algebras. Under certain assumptions, we show that every module
for a rational vertex operator algebra be lifted to a twisted module for an
extended algebra with an abelian symmetry.Comment: latex 14 pages, version 2: English corrected, version 3: Hypotheis I
is proved in Lemma 3.
Effective mass anomalies in strained Si thin films and crystals
Effective mass anomalies due to the geometrical effects are investigated in
silicon nanostructures using first-principles calculations for the first time.
In \{111\} and \{110\} biaxially strained Si, it is found that longitudinal
effective mass is extraordinarily enhanced for both thin films and crystals.
This mass enhancement is caused by the change of the band structure with double
minima into that with a single minimum due to strain and confinement. At the
transition point, it is analytically shown that the effective mass diverges.
The dependences of the confinement thickness on the anomalies are qualitatively
explained by an extension of the effective mass approximation.Comment: 4 pages, 5 figures, submitted to Phys. Rev. Let
2A-orbifold construction and the baby-monster vertex operator superalgebra
In this article we prove that the full automorphism group of the baby-monster
vertex operator superalgebra constructed by Hoehn is isomorphic to 2xB, where B
is the baby-monster sporadic finite simple group and determine irreducible
modules for the baby-monster vertex operator algebra. Our result has many
corollaries. In particular, we can prove that the Z_2-orbifold construction
with respect to a 2A-involution of the Monster applied to the moonshine vertex
operator algebra yields the moonshine vertex operator algebra itself again.Comment: v2: Knowing Tuite's work on 2A-orbifold construction of the moonshine
vertex operator algebra, we made a remark on it and revised reference
Degassifying and mixing apparatus for liquids
An apparatus for degassing a liquid comprises a containment vessel a liquid pump and a header assembly (12) within the containment vessel in a volume above the reservoir of the liquid. The pump draws from this reservoir and outputs to the header assembly, the latter being constructed to return the liquid to the reservoir in the form of a number of stacked, vertically spaced, concentric, conical cascades via orifices. A vacuum source provides a partial vacuum in the containment vessel to enhance the degassing process
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