1 - 10 of 13 articles
Let G be a connected and simply connected real Lie group with Lie algebra [InlineMediaObject not available: see fulltext.]. Semialgebraic subsets of the unitary dual of G are defined and a strict Positivstellensatz for positive elements of the universal enveloping algebra [InlineMediaObject not...
An algorithmic solution to Teichmüller's extremal ring problem is given.
Let X = G/K be a higher rank symmetric space of noncompact type and [InlineMediaObject not available: see fulltext.] a discrete Zariski dense group. In a previous article, we constructed for each G-invariant subset of the regular limit set of Γ a family of measures, the so-called (b, Γ ·...
We show that the centraliser of the space of n-fold symmetric injective tensors, n≥2, on a real Banach space is trivial. With a geometric condition on the set of extreme points of its dual, the space of integral polynomials we obtain the same result for complex Banach spaces. We give some...
Based on the analogy between number fields and function fields of one variable over finite fields, we formulate and prove an analogue of the exceptional zero conjecture of Mazur, Tate and Teitelbaum for elliptic curves defined over function fields. The proof uses modular parametrization by...
We study some special almost complex structures on strictly pseudoconvex domains in ℝ2
. They appear naturally as limits under a nonisotropic scaling procedure and play a role of model objects in the geometry of almost complex manifolds with boundary. We determine explicitely some geometric...
Let A be a commutative Noetherian local ring containing a field of characteristic p>0. The integer invariants λ
(A) have been introduced in an old paper of ours. In this paper we completely describe λ
(A) where d=dimA in terms of the topology of SpecA.
Let C be a nowhere dense compact analytic subset of a 2-dimensional complex manifold X. A result of Napier is the construction of a neighborhood V of C such that for any covering space [InlineMediaObject not available: see fulltext.] in which [InlineMediaObject not available: see fulltext.] is...
We study the convergence of sequences of Monge-Ampère measures (dd
) is a given sequence of plurisubharmonic functions. Our main theorem is about approximation by multipole pluricomplex Green functions.
We prove two ``large images'' results for the Galois representations attached to a degree d Q-curve E over a quadratic field K: if K is arbitrary, we prove maximality of the image for every prime p>13 not dividing d, provided that d is divisible by q (but d≠q) with q=2 or 3 or 5 or 7 or 13. If K...
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