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- W2298242363 abstract "Let X be a smooth projective geometrically irreducible variety over a perfect field k and D an effective divisor on X. We consider a relative Chow group of modulus D, the Albanese variety of X of modulus D and the Abel-Jacobi map with modulus. For X a surface over a finite field we prove a Roitman theorem with modulus and obtain a reciprocity law and an existence theorem for abelian coverings of X with ramification bounded by D. The previous version of this paper would require a stronger version of Bloch's moving lemma, for which I could not find a reference. I thank Shuji Saito for pointing this out. In this version we follow a different strategy: the main tool is a skeleton theorem that relates relative Cartier divisors on X to compatible systems of relative Cartier divisors on curves in X." @default.
- W2298242363 created "2016-06-24" @default.
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- W2298242363 date "2012-11-05" @default.
- W2298242363 modified "2023-09-27" @default.
- W2298242363 title "Geometric class field theory with bounded ramification for surfaces" @default.
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