We point out a gap in Murre's proof of the existence of a universal regular homomorphism for codimension $2$ cycles on a smooth projective variety, and offer two arguments to fill this gap.Comment: To appear in Annales de l'Institut Fourie
summary:The aim of the article is to give a conceptual understanding of Kontsevich's construction of...
Here the existence of a new homomorphism $P_{\omega} : \Theta_{\mathbb{Z}}^3 \to \mathbb{Z}$ is prov...
We show that the topological Pontryagin classes are algebraically independent in the rationalised co...
Let X be a projective variety of dimension n defined over an alge-braically closed field k. For X ir...
For a smooth projective variety $X$ over a number field $k$ a conjecture of Bloch and Beilinson pred...
We study algebraic cycles on complex Gushel-Mukai (GM) varieties. We prove the generalised Hodge con...
Given a smooth projective variety $X$ over a field, consider the $\mathbb Q$-vector space $Z_0(X)$ o...
We prove that the bounded derived category of coherent sheaves reconstructs the isomorphism classes ...
We develop a `universal' support theory for derived categories of constructible (analytic or \'etale...
We investigate the asymptotic behaviour of Castelnuovo-Mumford regularity of Ext and Tor, with respe...
Under the framework of dynamics on projective varieties by Kawamata, Nakayama and Zhang \cite{Kawama...
We show that for each algebraic space that is separated and of finite type over a field, and whose a...
We show that for each algebraic space that is separated and of finite type over a field, and whose a...
We show that if $X\subset\mathbb P^N_k$ is a normal variety of dimension $n\geq 3$ and $H\subset\mat...
AbstractWe prove, up to isogenies, that the kernel of a regular morphism of q-cycles algebraically e...
summary:The aim of the article is to give a conceptual understanding of Kontsevich's construction of...
Here the existence of a new homomorphism $P_{\omega} : \Theta_{\mathbb{Z}}^3 \to \mathbb{Z}$ is prov...
We show that the topological Pontryagin classes are algebraically independent in the rationalised co...
Let X be a projective variety of dimension n defined over an alge-braically closed field k. For X ir...
For a smooth projective variety $X$ over a number field $k$ a conjecture of Bloch and Beilinson pred...
We study algebraic cycles on complex Gushel-Mukai (GM) varieties. We prove the generalised Hodge con...
Given a smooth projective variety $X$ over a field, consider the $\mathbb Q$-vector space $Z_0(X)$ o...
We prove that the bounded derived category of coherent sheaves reconstructs the isomorphism classes ...
We develop a `universal' support theory for derived categories of constructible (analytic or \'etale...
We investigate the asymptotic behaviour of Castelnuovo-Mumford regularity of Ext and Tor, with respe...
Under the framework of dynamics on projective varieties by Kawamata, Nakayama and Zhang \cite{Kawama...
We show that for each algebraic space that is separated and of finite type over a field, and whose a...
We show that for each algebraic space that is separated and of finite type over a field, and whose a...
We show that if $X\subset\mathbb P^N_k$ is a normal variety of dimension $n\geq 3$ and $H\subset\mat...
AbstractWe prove, up to isogenies, that the kernel of a regular morphism of q-cycles algebraically e...
summary:The aim of the article is to give a conceptual understanding of Kontsevich's construction of...
Here the existence of a new homomorphism $P_{\omega} : \Theta_{\mathbb{Z}}^3 \to \mathbb{Z}$ is prov...
We show that the topological Pontryagin classes are algebraically independent in the rationalised co...