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Local Intersection Cohomology of Baily–Borel Compactifications
Wiley - Tập 134 - Trang 243-268 - 2002
The local intersection cohomology of a point in the Baily–Borel compactification (of a Hermitian locally symmetric space) is shown to be canonically isomorphic to the weighted cohomology of a certain linear locally symmetric space (an arithmetic quotient of the associated self-adjoint homogeneous cone). Explicit computations are given for the symplectic group in four variables.
Linear congruence relations for 2-adic L-series at integers
Wiley - Tập 111 - Trang 289-304 - 1998
In the paper we find a further generalization of congruences of the K. Hardy and K. S. Williams [5] type which seems to be a full generalization of congruences of G. Gras [4]. Moreover we extend results of [5], [7], [8], [9] and in part of [6]. We apply ideas and methods of [2], [7] and [9].
Ordinary p-adic étale Cohomology Groups Attached to Towers of Elliptic Modular Curves
Wiley - - 1999
Fix a prime number p ≥ 5 and a positive integer N prime to p. We consider the projective limits of p-adic étale cohomology groups of the modular curves X1(Npr) and Y1(Npr) (r ≥ 1), which are denoted by ESp(N) Z
p and GES p(N)Z
p , respectively. Let e* ′ be the projector to the direct sum of the ωi-eigenspaces of the ordinary part, for i ≢ 0, -1 mod p-1. Our main result states that e* ′ GESp (N)Z
p...... hiện toàn bộ
A Formula for the Number of Elliptic Curves with Exceptional Primes
Wiley - Tập 122 Số 2 - Trang 151-164 - 2000
We prove a conjecture of Duke on the number of elliptic curves over the rationals of bounded height which have exceptional primes.
Cohomology of Subregular Tilting Modules for Small Quantum Groups
Wiley - - 2002
Let U be a quantumgroup with divid d powers at root ofunity constructed froma rootsystem R .Let u U b th small quantumgroup.Th cohomologyof u with trivial coefficients was computed by Ginzburg and Kumar.It turns out to be isomorphic to the functions algebra of the nilpotent cone of a semisimpl algebraic group with root system R .In this not we calculate cohomology of u with coefficients in simples...... hiện toàn bộ
The adjunction morphism for retgular differential forms and relative duality
Wiley - Tập 106 - Trang 87-123 - 1997
Let
$$f:X \to Y$$
be a morphism of noetherian schemes,generically smooth and equidimensional of dimension
$$d,\iota :X\prime \to X$$
a closed embedding such that
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Diophantine Equations and Bernoulli Polynomials
Wiley - - 2002
Given m, n ≥ 2, we prove that, for sufficiently large y, the sum 1
n
+···+ y
n
is not a product of m consecutive integers. We also prove that for m ≠ n we have 1
m
+···+ x
m
≠ 1
n
+···+ y
n
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Duality in the cohomology of crystalline local systems
Wiley - Tập 109 - Trang 67-97 - 1997
Let k be a perfect field of a positive characteristic p, K-the fraction field of the ring of Witt vectors W(k) Let X be a smooth and proper scheme over W(k). We present a candidate for a cohomology theory with coefficients in crystalline local systems: p -adic étale local systems on X_K characterized by associating to them so called Fontaine-crystals on the crystalline site of the special fiber X
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Tổng số: 348
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