Algebraic geometry and arithmetic curves. Transl. by Reinie Erné. (English) Zbl 1103.14001

Liu, Qing

Oxford Graduate Texts in Mathematics 6. Oxford: Oxford University Press (ISBN 0-19-920249-4/pbk). xv, 577 p. (2006).

This is a new-in-paperback edition of the monograph reviewed in [Algebraic geometry and arithmetic curves. Oxford Graduate Texts in Mathematics. 6. Oxford: Oxford University Press. (2002; Zbl 0996.14005)]. The author made a lot of small corrections which are all posted at http://www.math.u-bordeaux.fr/~liu/Book/errata-web.pdf. The same webpage is assumed to maintain a list of errata for the paperback edition.

Reviewer: Boris Kunyavskii (Ramat Gan)

MSC:

14-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry
14-02	Research exposition (monographs, survey articles) pertaining to algebraic geometry
14A15	Schemes and morphisms
14G40	Arithmetic varieties and schemes; Arakelov theory; heights
14Exx	Birational geometry

Keywords:

schemes; coherent sheaves; cohomology of schemes; duality theory; algebraic curves; birational geometry of surfaces; arithmetic algebraic curves; arithmetic algebraic surfaces; stable reduction of curves; arithmetic algebraic geometry; birational geometry of algebraic surfaces

Citations:

Zbl 0996.14005