The Picard-Lefschetz formula and a conjecture of Kato: The case of Lefschetz fibrations.

DOI10.4310/MRL.2002.v9.n5.a5zbMath1082.14013arXivmath/0207059WikidataQ123353763 ScholiaQ123353763MaRDI QIDQ1812507

Caterina Consani, Minhyong Kim

Publication date: 14 October 2003

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0207059

zbMATH Keywords

monodromydegenerationfibrationsalgebraic cyclesHodge conjecturemixed Hodge structuresPicard-Lefschetz theory

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Fibrations, degenerations in algebraic geometry (14D06) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

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