Lectures on Algebraic Cycles

Informationen zum Autor Spencer Bloch is R. M. Hutchins Distinguished Service Professor in the Department of Mathematics at the University of Chicago. Klappentext Spencer Bloch's landmark lectures are finally back in print! with a new preface by the author reflecting on recent developments. Zusammenfassung The theory of algebraic cycles encompasses such central problems in mathematics as the Hodge conjecture and the Bloch–Kato conjecture on special values of zeta functions. Spencer Bloch's landmark lectures, first published in 1980, are still the best place to learn the guiding philosophy of algebraic cycles and motives. Inhaltsverzeichnis Preface to the second edition; Introduction; 1. 0-cycles on surfaces; Lecture 1. Appendix. On an argument of Mumford in the theory of algebraic cycles; 2. Curves on threefolds and intermediate Jacobians; 3. Curves on threefolds and intermediate Jacobians - the relative case; 4. K-theoretic and cohomological methods; 5. Torsion in the Chow group; 6. Complements on H2(K2); 7. Diophantine questions; 8. Relative cycles and zeta functions; 9. Relative cycles and zeta functions (continued); References; Index.

Product details

• Authors: Spencer Bloch, Spencer J. Bloch
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 22.07.2010
• EAN: 9780521118422
• ISBN: 978-0-521-11842-2
• No. of pages: 156
• Series: New Mathematical Monographs
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Topology, Algebraic Geometry, Number Theory