A higher Albanese map for complex threefolds based on a construction by M. Green

• Autorzy: Lorenz Schneider
• Języki publikacji: EN

Abstrakty

EN

We construct a higher Abel-Jacobi map for 0-cycles on complex threefolds and prove that it can be used to describe Mumford's pull-back of a differential form, and that its image is infinite-dimensional in many cases. However, making a certain assumption, we show that it is not always injective.

Kategorie tematyczne

• 14C30: Transcendental methods, Hodge theory , Hodge conjecture
• 14C15: (Equivariant) Chow groups and rings; motives
• 14C25: Algebraic cycles

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 186
• Numer: 2
• Strony: 111-146

Daty

wydano

2005

Twórcy

autor

Lorenz Schneider

• Mathematisches Institut der Universität Erlangen, Bismarckstrasse 1/2, 91054 Erlangen, Germany

Identyfikatory

DOI

10.4064/fm186-2-2