Monomialization of morphisms from 3-folds to surfaces /
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 sequence...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2002]
|
| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1786. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
|---|---|
| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (235 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages [234]-235). |
| ISBN: | 9783540480303 (electronic bk.) 3540480307 (electronic bk.) |