000 02730nam a22004575i 4500
001 978-3-540-48030-3
003 DE-He213
005 20160624101829.0
007 cr nn 008mamaa
008 121227s2002 gw | s |||| 0|eng d
020 _a9783540480303
_9978-3-540-48030-3
024 7 _a10.1007/b83848
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
082 0 4 _a516.35
_223
100 1 _aCutkosky, Steven Dale.
_eauthor.
245 1 0 _aMonomialization of Morphisms from 3-folds to Surfaces
_h[electronic resource] /
_cby Steven Dale Cutkosky.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2002.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2002.
300 _aVIII, 240 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x1617-9692 ;
_v1786
505 0 _a1. Introduction -- 2. Local Monomialization -- 3. Monomialization of Morphisms in Low Dimensions -- 4. An Overview of the Proof of Monomialization of Morphisms from 3 Folds to Surfaces -- 5. Notations -- 6. The Invariant v -- 7. The Invariant v under Quadratic Transforms -- 8. Permissible Monoidal Transforms Centered at Curves -- 9. Power Series in 2 Variables -- 10. Ar(X) -- 11.Reduction of v in a Special Case -- 12. Reduction of v in a Second Special Case -- 13. Resolution 1 -- 14. Resolution 2 -- 15. Resolution 3 -- 16. Resolution 4 -- 17. Proof of the main Theorem -- 18. Monomialization -- 19. Toroidalization -- 20. Glossary of Notations and definitions -- References.
520 _aA 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.
650 0 _aMathematics.
650 0 _aGeometry, algebraic.
650 1 4 _aMathematics.
650 2 4 _aAlgebraic Geometry.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540437802
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x1617-9692 ;
_v1786
856 4 0 _uhttp://dx.doi.org/10.1007/b83848
942 _2EBK1656
_cEBK
999 _c30950
_d30950