Add to ORKGFor a proper smooth variety X defined over a local field k, unramified class field theory investigates the reciprocity map øX : SK1 (X) → πab1 (X) as introduced by S. Saito. We study this map in the case when X is a surface admitting a proper surjection onto a smooth geometrically connected curve C with a smooth conic as generic fibre. Without any assumption on the reduction of C, we prove that øX is injective modulo n for all n invertible in k and its cokernel is the same as that of øC. © 1999 Kluwer Academic Publishers
We define and study the 2-category of torsors over a Picard groupoid, a central extension of a grou...
Let V be the compact Riemann surface defined by the equation: Vn=f(x), where n is a positive integ...
A few typos correctedWe study for rationally connected varieties $X$ the group of degree 2 integral ...
For a proper smooth variety X defined over a local field k, unramified class field theory investigat...
AbstractIn this paper, we are concerned with the reciprocity map of unramified class field theory fo...
AbstractFor a connected regular scheme X, flat and of finite type over Spec(Z), we construct a recip...
Let k be a p-adic field. Consider a smooth, proper, geometrically integral k-variety X. In this pape...
This thesis is about higher dimensional class field theory of varieties over local and finite fields...
For a smooth and proper variety Y over a finite field k the reciprocity map ρY:\CH0(Y)→π\ab1(Y) is i...
AbstractLet R be a compact, connected, orientable surface of genus g with p boundary components. Let...
Let X be a smooth projective geometrically irreducible variety over a perfect field k and D an effec...
We prove a version of Weil reciprocity for certain partially proper rigid analytic curves. This simu...
We establish a ramified class field theory for smooth projective curves over local fields. As key st...
Let S be a closed, connected, orientable surface of genus at least 3, C(S) be the complex of curves ...
AbstractLet S be a closed, connected, orientable surface of genus at least 3, C(S) be the complex of...
We define and study the 2-category of torsors over a Picard groupoid, a central extension of a grou...
Let V be the compact Riemann surface defined by the equation: Vn=f(x), where n is a positive integ...
A few typos correctedWe study for rationally connected varieties $X$ the group of degree 2 integral ...
For a proper smooth variety X defined over a local field k, unramified class field theory investigat...
AbstractIn this paper, we are concerned with the reciprocity map of unramified class field theory fo...
AbstractFor a connected regular scheme X, flat and of finite type over Spec(Z), we construct a recip...
Let k be a p-adic field. Consider a smooth, proper, geometrically integral k-variety X. In this pape...
This thesis is about higher dimensional class field theory of varieties over local and finite fields...
For a smooth and proper variety Y over a finite field k the reciprocity map ρY:\CH0(Y)→π\ab1(Y) is i...
AbstractLet R be a compact, connected, orientable surface of genus g with p boundary components. Let...
Let X be a smooth projective geometrically irreducible variety over a perfect field k and D an effec...
We prove a version of Weil reciprocity for certain partially proper rigid analytic curves. This simu...
We establish a ramified class field theory for smooth projective curves over local fields. As key st...
Let S be a closed, connected, orientable surface of genus at least 3, C(S) be the complex of curves ...
AbstractLet S be a closed, connected, orientable surface of genus at least 3, C(S) be the complex of...
We define and study the 2-category of torsors over a Picard groupoid, a central extension of a grou...
Let V be the compact Riemann surface defined by the equation: Vn=f(x), where n is a positive integ...
A few typos correctedWe study for rationally connected varieties $X$ the group of degree 2 integral ...