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Dạng tài liệu:	Bản in
Chỉ số ISBN:	3-540-11195-6
Ngôn ngữ:	eng
Mã giá:	14AB
Mã MSC:	Đang cập nhật ...
Tác giả:	Abhyankar, S. S
Nhan đề:	Weighted expansions for canonical desingularization
Xuất bản, phát hành:	H : Berlin-Heidelberg-New York , 1982
Số trang:	236;
Kích thước:	24 cm
Từ Khóa:	exceptional divisor , expansion , quadratic transformations , singular points
Bộ sách:	Lecture Notes in Mathematics. 910.

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  020	##	$a3-540-11195-6
  024	1#	$a84m:14013 $d0479.14009
  041	##	$aeng
  084	##	$a14AB
  090	##	$cLv2905
  100	1#	$aAbhyankar, S. S.
  245	##	$aWeighted expansions for canonical desingularization.$n910
  260	##	$aH:$bBerlin-Heidelberg-New York,$c1982
  300	##	$a236;$c24 cm
  505	0#	$aForeword Preface 1. Notation 2. Semigroups 3. Strings 4. Semigroup strings with restrictions 5. Ordered semigroup strings with restrictions 6. Strings on rings 7. Indeterminate strings 8. Indeterminate strings with restrictions 9. Restricted degree and order for indeterminate strings 10. Indexing strings 11. Nets 12. Semigroup nets with restrictions 13. Ordered semigroup nets with restrictions 14. Nets on rings 15. Indeterminate nets 16. Indeterminate nets with restrictions 17. Restricted degree and order for indeterminate nets 18. Prechips 19. Isobars for prechips and Premonic polynomials 20. Substitutions 21. Substitutions with restrictions 22. Coordinate nets and Monic polynomials 23. Graded ring of a ring at an ideal 24. Graded ring of a ring 25. Graded rings at strings and nets and the notions of separatedness and regularity for strings and nets 26. Inner products and further notions of separatedness and regularity for strings 27. Inner products and further notions of separatedness and regularity for nets 28. Weighted isobars and weighted initial forms initial forms for regular strings 29. Initial forms for regular strings and nets 30. Protochips and parachips 31. N-support of an indexing string for 2 =
  520	##	$a We point out two major differences to Hironaka's famous proof. One is the visible change of the singularity in each step. The second is that this new proof does not use any induction on the dimension of the variety. Even if one takes the expansion for granted, the description of resolution given above was not quite correct. The final proof will use another iteration of this procedure. After expanding one equation, one can extract some coefficients. These coefficients have to be expanded again, then the coefficients of the coefficients, etc. This leads to the notion of a web, which is not treated here. After this rather crude description of a very complicated mechanism, we can indicate the content of the paper that follows. It contains the notation which is necessary to deal with the huge amount of information contained in the expansion. Then there is a proof for the existence of weighted initial forms in great generality, maybe more general than is needed for the purpose of resolution. Finally the existence of an expansion as indicated above is proved. $bWith foreword by U. Orbanz.
  653	##	$aexceptional divisor
  653	##	$aexpansion
  653	##	$aquadratic transformations
  653	##	$asingular points
  773	0#	$tLecture Notes in Mathematics. 910.
  900	##	1
  911	##	ELIB
  912	##	Converted
  927	##	Sách, chuyên khảo, tuyển tập

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