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...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2002.
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| Edition: | 1st ed. 2002. |
| Series: | Lecture Notes in Mathematics,
1786 |
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| Online Access: | Full Text via HEAL-Link |
| 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. |
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| Physical Description: | VIII, 240 p. online resource. |
| ISBN: | 9783540480303 |
| ISSN: | 0075-8434 ; |
| DOI: | 10.1007/b83848 |
