Modulus of a rational map into a commutative algebraic group

DOI10.1215/0023608X-2010-006zbMath1206.14069arXiv1003.3289OpenAlexW3101452374MaRDI QIDQ1958475

Henrik Russell, Kazuya Kato

Publication date: 29 September 2010

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3289

zbMATH Keywords

algebraic groupmodulusAlbanese variety

Mathematics Subject Classification ID

Rational and birational maps (14E05) Ramification and extension theory (11S15) Group varieties (14L10)

Related Items (6)

RECIPROCITY SHEAVES AND THEIR RAMIFICATION FILTRATIONS ⋮ On ramification in transcendental extensions of local fields ⋮ K-groups of reciprocity functors ⋮ Ramification theory of reciprocity sheaves. II: Higher local symbols ⋮ Ramification theory of reciprocity sheaves. I: Zariski-Nagata purity ⋮ The two-dimensional Contou-Carrère symbol and reciprocity laws

Cites Work

• Albanese varieties with modulus over a perfect field
• Albanese varieties with modulus and Hodge theory
• Théorie du corps de classes de Kato et revêtements abéliens de surfaces
• Generalized Albanese and its dual
• Generalized Albanese varieties for surfaces in characteristic \(p>0\)
• The generalized de Rham-Witt complex over a field is a complex of zero-cycles
• On the Swan conductor in positive characteristic
• Erratum to “The generalized de Rham-Witt complex over a field is a complex of zero-cycles”
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