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The relative log Poincaré lemma and relative log de Rham theory

Name: The relative log Poincaré lemma and relative log de Rham theory
Creator: Fumiharu Kato
Keywords: Transcendental methods of algebraic geometry (complex-analytic aspects), 32J25, Analytic sheaves and cohomology groups, relative Poincaré lemma, log geometry, 32C35, 0101 mathematics, 01 natural sciences, 14F40, de Rham cohomology and algebraic geometry

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 15 May 1998 Japan Publisher:Duke University PressJournal:Duke Mathematical Journal, volume 93 (issn: 0012-7094,

Authors: Fumiharu Kato;

doi: 10.1215/s0012-7094-98-09307-3

The relative log Poincaré lemma and relative log de Rham theory

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Abstract

Following an idea of K. Kato and C. Nakayama, the authors prove a generalizaton of the classical relative Poincaré lemma in Fontaine-Illusie log geometry.

Country

Japan

Related Organizations

Institute of Science Tokyo
Japan
Kyushu University
Japan

Keywords

Transcendental methods of algebraic geometry (complex-analytic aspects), 32J25, Analytic sheaves and cohomology groups, relative Poincaré lemma, log geometry, 32C35, 14F40, de Rham cohomology and algebraic geometry

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