Abstract. In [DJL07] it was shown that if A is an affine hyperplane arrangement in Cn, then at most one of the L2–Betti numbers b(2)p (Cn \ A, id) is non–zero. We will prove an analogous statement for complements of any algebraic curve in C2. Furthermore we also recast and extend results of [LM06] in terms of L2–Betti numbers. 1
AbstractLet f=(f1,f2) be a regular sequence of affine curves in C2. Under some reduction conditions ...
AbstractLet C be curve in Pkn over an algebraically closed field k of characteristic 0 and let Γ=C∩H...
We give necessary and sufficient conditions on the degree Hilbert Burch matrix of a set Z of points...
We compute the l^2-Betti numbers of the complement of any finite collection of affine hyperplanes in...
Abstract. We compute the `2-Betti numbers of the complement of a finite collection of affine hyperpl...
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Let X be a smooth affine surface, X \u2192 G2 m be a finite morphism. We study the affine curves on ...
We study the intersection of a fixed plane algebraic curve C with modular curves of varying level. Th...
In this paper we consider the problem of the disposition of the set of points of a nonsingular real ...
AbstractLet C be an arithmetically Buchsbaum curve in Pn and let IC be its ideal. We study C and IC ...
Belyi’s theorem states that a Riemann surface X, as an algebraic curve, is defined over Q if and onl...
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AbstractIn PG(2,q2) let ℓ∞ denote a fixed line, then the Baer subplanes which intersect ℓ∞ in q+1 po...
AbstractLet Γ be an algebraic curve which is given by an equation f(x, y) = 0, f(x, y) ∈ k[x, y] whe...
Available online 16 March 2002In PG(2,q2) let ℓ∞ denote a fixed line, then the Baer subplanes which ...
AbstractLet f=(f1,f2) be a regular sequence of affine curves in C2. Under some reduction conditions ...
AbstractLet C be curve in Pkn over an algebraically closed field k of characteristic 0 and let Γ=C∩H...
We give necessary and sufficient conditions on the degree Hilbert Burch matrix of a set Z of points...
We compute the l^2-Betti numbers of the complement of any finite collection of affine hyperplanes in...
Abstract. We compute the `2-Betti numbers of the complement of a finite collection of affine hyperpl...
AbstractWe study the degeneration dimension of non-archimedean analytic maps into the complement of ...
Let X be a smooth affine surface, X \u2192 G2 m be a finite morphism. We study the affine curves on ...
We study the intersection of a fixed plane algebraic curve C with modular curves of varying level. Th...
In this paper we consider the problem of the disposition of the set of points of a nonsingular real ...
AbstractLet C be an arithmetically Buchsbaum curve in Pn and let IC be its ideal. We study C and IC ...
Belyi’s theorem states that a Riemann surface X, as an algebraic curve, is defined over Q if and onl...
AbstractTwo affine algebraic curves over the complex numbers are in bad position if they have at lea...
AbstractIn PG(2,q2) let ℓ∞ denote a fixed line, then the Baer subplanes which intersect ℓ∞ in q+1 po...
AbstractLet Γ be an algebraic curve which is given by an equation f(x, y) = 0, f(x, y) ∈ k[x, y] whe...
Available online 16 March 2002In PG(2,q2) let ℓ∞ denote a fixed line, then the Baer subplanes which ...
AbstractLet f=(f1,f2) be a regular sequence of affine curves in C2. Under some reduction conditions ...
AbstractLet C be curve in Pkn over an algebraically closed field k of characteristic 0 and let Γ=C∩H...
We give necessary and sufficient conditions on the degree Hilbert Burch matrix of a set Z of points...
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