ENGLISH

Monomialization of Morphisms from 3-folds to Surfaces

By Steven Dale Cutkosky (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2002
ISBN
978-3-540-43780-2, 978-3-540-48030-3
DOI
10.1007/b83848
Language
english
Format
PDF
Filesize
3 MB (3203299 bytes)
Series
Lecture Notes in Mathematics 1786
Edition
1
Pages
240\233
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Algebraic Geometry

Description

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.

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