Add to ORKGThe first part of the paper is devoted to algebras on one-dimensional varieties in $\mathsf{C}^n$ that are bounded by finite unions of mutually disjoint rectifiable simple closed curves. The relevant Shilov boundaries are considered, and certain nonapproximation phenomena are exhibited. The second part of the paper is devoted to the study of uniform algebras whose maximal ideal spaces are smooth surfaces and that admit sets of smooth generators. Such algebras are shown to consist of functions holomorphic off their Shilov boundaries
We show that the uniform boundedness of the transcendental Brauer group of K3 surfaces and abelian v...
AbstractWe announce some results concerning the diffeomorphism classification of algebraic surfaces....
Abstract. This paper addresses conjectures of E. Bombieri and P. Vojta in the special case of ruled ...
We investigate the spectrum of certain Banach algebras. Properties like generators of maximal ideals...
AbstractThe main goal of this paper is to give a general algorithm to compute, via computer-algebra ...
Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An o...
Some problems concerning the algebra of bounded holomorphic functions from bounded domains in Cn are...
Abstract. We introduce a new class of finite dimensional gentle alge-bras, the surface algebras, whi...
Some problems concerning the algebra of bounded holomorphic functions from bounded domains in Cn are...
It is shown that H∞+C has the Shilov property. In partic-ular any function f in H∞+C vanishing in an...
AbstractWe introduce a new class of finite-dimensional gentle algebras, the surface algebras, which ...
Abstract It is shown that if A is a uniform algebra generated by a family Φ of complex-valued C 1 fu...
A widely believed conjecture predicts that curves of bounded geometric genus lying on a variety of g...
In this paper we study some geometrical properties of certain classes of uniform algebras, in partic...
7 pagesInternational audienceA widely believed conjecture predicts that curves of bounded geometric ...
We show that the uniform boundedness of the transcendental Brauer group of K3 surfaces and abelian v...
AbstractWe announce some results concerning the diffeomorphism classification of algebraic surfaces....
Abstract. This paper addresses conjectures of E. Bombieri and P. Vojta in the special case of ruled ...
We investigate the spectrum of certain Banach algebras. Properties like generators of maximal ideals...
AbstractThe main goal of this paper is to give a general algorithm to compute, via computer-algebra ...
Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An o...
Some problems concerning the algebra of bounded holomorphic functions from bounded domains in Cn are...
Abstract. We introduce a new class of finite dimensional gentle alge-bras, the surface algebras, whi...
Some problems concerning the algebra of bounded holomorphic functions from bounded domains in Cn are...
It is shown that H∞+C has the Shilov property. In partic-ular any function f in H∞+C vanishing in an...
AbstractWe introduce a new class of finite-dimensional gentle algebras, the surface algebras, which ...
Abstract It is shown that if A is a uniform algebra generated by a family Φ of complex-valued C 1 fu...
A widely believed conjecture predicts that curves of bounded geometric genus lying on a variety of g...
In this paper we study some geometrical properties of certain classes of uniform algebras, in partic...
7 pagesInternational audienceA widely believed conjecture predicts that curves of bounded geometric ...
We show that the uniform boundedness of the transcendental Brauer group of K3 surfaces and abelian v...
AbstractWe announce some results concerning the diffeomorphism classification of algebraic surfaces....
Abstract. This paper addresses conjectures of E. Bombieri and P. Vojta in the special case of ruled ...