arXiv
(422,153 recursos)
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Mostrando recursos 21 - 40 de 66,283
21.
Non-existence of certain semistable abelian varieties - Brumer, Armand; Kramer, Kenneth
We show that there do not exist semistable varietes defined over the
rationals with good reduction outside one prime p if p = 2, 3, 5 or 7.
22.
Sur les invariants d'Iwasawa des \Z_p^*/+-1-extensions - Perret, Marc; Saby, Nicolas
In this paper we give bounds for the Iwasawa invariants of the Igusa tower of
curves investigated by Mazur and Wiles. We give an upper bound for the mu
invariants and a lower bound for the sum of the lambda invariants, in terms of
the genus and number of supersingular points of the base curve.
23.
On the local Langlands correspondence mod ell - Khare, Chandrashekhar
We prove that the reduction mod \ell of the local Langlands correspondence
between supercuspidal representations of GL_n(F), where F is a finite extension
of Q_p, and representations of the Galois group of F is well-defined. The
results and methods of this paper have been used by Vigneras to give a proof of
the ``local Langlands conjecture mod \ell'', that was proved earlier by her by
different methods (local harmonic analysis mod \ell) for \ell>n. Unlike the
local methods used earlier by Vigneras, our more global method also generalises
well to the characteristic p case.
24.
Non-archimedean flag domains and semistability I - Voskuil, Harm
Let G be an absolutely almost simple algebraic group defined over a
non-archimedean local field K. Let X be a projective homogeneous variety for G
and let L be an ample line bundle on X. Then there exists a unique
G-linearisation of L. We regard X as a rigid analytic variety. We consider the
open rigid analytic subspace Y (resp. Y') of X that consists of the points x in
X that are stable (resp. semistable) for all maximal K-split tori in G. Here we
take for each maximal K-split torus S in G the S-linearisation of L obtained by
restricting the G-linearisation of L to S....
25.
On Heegner points of large conductors - Khare, Chandrashekhar; Rajan, C. S.
Given a parametrisation of an elliptic curve over Q by a Shimura curve, we
show that the images of almost all Heegner points are of infinite order. For
parametrisations of elliptic curves by modular curves this was proven earlier
by Nekovar and Schappacher by a different method.
26.
Extending holomorphic sections from complex subvarieties - Forstneric, Franc; Prezelj, Jasna
Let X be a Stein manifold and let Y be a complex manifold which admits a
spray in the sense of Gromov (Oka's principle for holomorphic sections of
elliptic bundles, J. Amer. Math. Soc. 2, pp. 851-897 (1989)). We prove that for
every closed complex subvariety X_0 of X and for every continuous map f_0 from
X to Y whose restriction to X_0 is holomorphic there exists a homotopy of maps
f_t from X to Y whose restrictions to X_0 agree with f_0 and such that the map
f_1 is holomorphic on X. We obtain analogous results for sections of
holomorphic submersions with sprays over Stein manifolds...
27.
Oka's principle for holomorphic submersions with sprays - Forstneric, Franc; Prezelj, Jasna
We prove a theorem of M. Gromov (Oka's principle for holomorphic sections of
elliptic bundles, J. Amer. Math. Soc. 2, 851-897, 1989) to the effect that
sections of certain holomorphic submersions h from a complex manifold Z onto a
Stein manifold X satisfy the Oka principle, meaning that the inclusion of the
space of holomorphic sections into the space of continuous sections is a weak
homotopy equivalence. The Oka principle holds if the submersion admits a
fiber-dominating spray over a small neighborhood of any point in X. This
extends a classical result of Grauert (Holomorphe Funktionen mit Werten in
komplexen Lieschen Gruppen, Math. Ann. 133, 450-472, 1957). Gromov's...
28.
Finite volume flows and Morse theory - Harvey, F. Reese; Lawson, H. Blaine; Jr
In this paper we present a new approach to Morse theory based on the de
Rham-Federer theory of currents. The full classical theory is derived in a
transparent way. The methods carry over uniformly to the equivariant and the
holomorphic settings. Moreover, the methods are substantially stronger than the
classical ones and have interesting applications to geometry. They lead, for
example, to formulae relating characteristic forms and singularities of bundle
maps.
29.
Heights of Heegner points on Shimura curves - Zhang, Shouwu
The purpose of this paper is to generalize some results of Gross-Zagier [20]
and Kolvyvagin [28] to totally real fields.
30.
On the parity of ranks of Selmer groups II - Nekovar, Jan
This paper is the same as ANT-0265, but with a few minor mistakes corrected.
Let E be an elliptic curve over Q with good ordinary reduction at a prime p.
We show that the parity of the (co)-rank of the p-Selmer group of E is as
predicted by the conjecture of Birch and Swinnerton-Dyer.
31.
Modularity of solvable Artin representations of GO(4)-type - Ramakrishnan, Dinakar
This is an updated version of ANT-0253.
Let F be a number field with absolute Galois group G. We associate, to each
continuous, solvable C-representation of G of GO(4)-type, an automorphic form P
of GL(4)/F with the same L-function. As a consequence we exhibit an infinite
class of primitive, 16-dimensional representations for which the Artin
conjecture holds.
32.
A database for field extensions of the rationals - Klueners, Juergen; Malle, Gunter
We report on a database of field extensions of the rationals, its properties
and the methods used to compute it. At the moment the database encompasses
roughly 100,000 polynomials generating distinct number fields over the
rationals, of degrees up to 15. It contains polynomials for all transitive
permutation groups up to that degree, and even for most of the possible
combinations of signature and Galois group in that range. Moreover, whenever
these are known, the fields of minimal discriminant with given group and
signature have been included.
The database can be downloaded from
www.iwr.uni-heidelberg.de/iwr/compalg/minimum/minimum.html or from
www.mathematik.uni-kassel.de~malle/minimum/minimum.html and accessed via the
computer algebra system Kant. One of the aims of...
33.
On Brown-Peterson cohomology of QX - Kashiwabara, Takuji
We compute the Brown-Peterson cohomology of QX, the free infinite loop-space
on X, when X is a space whose Morava K-theory is flat over its BP-cohomology,
in particular a space whose Morava K-theory is concentrated in even degrees.
Our computation is in terms of a destabilization functor for BP-cohomology. We
also show that for such X, the Morava K-homology of QX is a free commutative
algebra.
34.
Unit L-functions and a conjecture of Katz - Emerton, Matthew; Kisin, Mark
Let f: X -> Y be a separated morphism of schemes of finite type over a finite
field of characteristic p, let Lambda be an artinian local Z_p-algebra with
finite residue field, let m be the maximal ideal of Lambda, and let L^\bullet
be a bounded constructible complex of sheaves of finite free Lambda-modules on
the \'etale site of Y. We show that the ratio of L-functions
L(X,L^\bullet)/L(Y,f_! L^\bullet), which is a priori an element of 1+T
Lambda[[T]], in fact lies in 1+ m T Lambda [T].
This implies a conjecture of Katz predicting the location of the zeroes and
poles of the L-function of a p-adic...
35.
Moderate deviations for the volume of the Wiener sausage - Berg, Michiel van den; Bolthausen, Erwin; Hollander, Frank den
For a>0,let W^a(t) be the a-neighbourhood of standard Brownian motion in R^d
starting at 0 and observed until time t.It is well-known that E|W^a(t)|~kappa_a
t (t->infty) for d >= 3,with kappa_a the Newtonian capacity of the ball with
radius a. We prove that lim_{t->infty} 1/t^{(d-2)/d}log P(|W^a(t)|<=bt) =
-I^{kappa_a}(b) in (-infty,0) for all 0
36.
Critical metrics for the determinant of the Laplacian in odd dimensions - Okikiolu, K.
Let M be a closed compact n-dimensional manifold with n odd. We calculate the
first and second variations of the zeta-regularized determinants
det^\prime\Lambda and det L as the metric on M varies, where \Delta denotes the
Laplacian on functions and L denotes the conformal Laplacian. We see that the
behavior of these functionals denotes the conformal Laplacian. We see that the
behavior of these functionals depends on the dimension. Indeed, every critical
metric for (-1)^{(n-1)/2}det^\prime\Lambda or (-1)^{(n-1}/2}| det L| has finite
index. Consequently there are no local maxima if n=4m+1 and no local minima if
n=4m+3. We show that the standard 3-sphere is a local maximum for
det^\prime\Lambda while...
37.
Semistable abelian varieties over Z[1/6] and Z[1/10] - Calegari, Frank
Continuing on from recent results of Brumer-Kramer and of Schoof, we show
that there exist non-zero semistable Abelian varieties over Z[1/N], with N
squarefree, if and only if N is not in the set {1,2,3,5,6,7,10,13}. Our results
are contingent on the GRH discriminant bounds of Odlyzko.
38.
Kronecker-Weber plus epsilon - Anderson, Greg W.
We say that a group is {\em almost abelian} if every commutator is central
and squares to the identity. Now let $G$ be the Galois group of the algebraic
closure of the field $\QQ$ of rational numbers in the field of complex numbers.
Let $G^{\ab+\epsilon}$ be the quotient of $G$ universal for homomorphisms to
almost abelian profinite groups and let $\QQ^{\ab+\epsilon}/\QQ$ be the
corresponding Galois extension. We prove that $\QQ^{\ab+\epsilon}$ is generated
by the roots of unity, the fourth roots of the (rational) prime numbers and the
square roots of certain sine-monomials. The inspiration for the paper came from
recent studies of algebraic $\Gamma$-monomials by P.~Das and by...
39.
Mordell-Weil groups and Selmer groups of two types of elliptic curves - Qiu, Derong; Zhang, Xianke
Consider elliptic curves $ E=E_\sigma: y^2 = x (x+\sigma p) (x+\sigma q), $
where$ \sigma =\pm 1, $ $p$ and $ q$ are prime numbers with $p+2=q$. (1) The
Selmer groups $ S^{(2)}(E/{\mathbf{Q}}), S^{(\phi)}(E/{\mathbf{Q})}$, and $\
S^{(\hat{\phi})}(E/{\mathbf{Q})} $ are explicitly determined, e.g., $\
S^{(2)}(E_{+1}/{\mathbf{Q}})= $ $({\mathbf{Z}}/2{\mathbf{Z}})^2; $ $
({\mathbf{Z}}/2{\mathbf{Z}})^3; $ or $ ({\mathbf{Z}}/2{\mathbf{Z}})^4 $ when
$p\equiv 5; 1 $ or $3; $ or $ 7 ({\mathrm{mod}} 8)$ respectively. (2) When
$p\equiv 5 (3, 5$ for $\sigma =-1) ({\mathrm{mod}} 8), $ it is proved that the
Mordell-Weil group $ E({\mathbf{Q})} \cong $ $ {\mathbf{Z}}/2{\mathbf{Z}}
\oplus{\mathbf{Z}}/2{\mathbf{Z}} $ having rank $0, $ and Shafarevich-Tate group
{\CC ':} $(E/{\mathbf{Q}})[2]=0. $ (3) In any case,...
40.
Ideal triangle groups, dented tori, and numerical analysis - Schwartz, Richard Evan
We prove the Goldman-Parker Conjecture: A complex hyperbolic ideal triangle
group is directly embedded in PU(2,1) if and only if the product of its three
standard generators is not elliptic. We also prove that such a group is
indiscrete if the product of its three standard generators is elliptic. A novel
feature of this paper is that it uses a rigorous computer assisted proof to
deal with difficult geometric estimates.
21.
