Lecture Notes in Mathematics

Cutkosky, Steven D.

A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in e'tale neighborhoods by a pure monomial mappings. The book gives proof that a dominant morphism from a nonsingular 3-fold X to a surface S can be monomialized by performing sequences of blowups of nonsingular subvarieties of X and S.
The construction is very explicit and uses techniques from resolution of singularities. A research monograph in algebraic geometry, it addresses researchers and graduate students.

Details

Published by: Springer

Publication Date: 2002-08-06

Format: Paperback

ISBN-13: 9783540437802

DOI: 10.1007/b83848

Dimensions: 235cm x155cm

Pages: 240