TY  - BOOK
AU  - Abhyankar,Shreeram S.
ED  - SpringerLink (Online service)
TI  - Weighted Expansions for Canonical Desingularization
T2  - Lecture Notes in Mathematics,
SN  - 9783540389927
AV  - QA564-609 
U1  - 516.35 23
PY  - 1982///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Geometry, algebraic
KW  - Algebraic Geometry
N1  - Notation -- Semigroups -- Strings -- Semigroup strings with restrictions -- Ordered semigroup strings with restrictions -- Strings on rings -- Indeterminate strings -- Indeterminate strings with restrictions -- Restricted degree and order for indeterminate strings -- Indexing strings -- Nets -- Semigroup nets with restrictions -- Ordered semigroup nets with restrictions -- Nets on rings -- Indeterminate nets -- Indeterminate nets with restrictions -- Restricted degree and order for indeterminate nets -- Prechips -- Isobars for prechips and Premonic polynomials -- Substitutions -- Substitutions with restrictions -- Coordinate nets and Monic polynomials -- Graded ring of a ring at an ideal -- Graded ring of a ring -- Graded rings at strings and nets and the notions of separatedness and regularity for strings and nets -- Inner products and further notions of separatedness and regularity for strings -- Inner products and further notions of separatedness and regularity for nets -- Weighted isobars and weighted initial forms -- Initial forms for regular strings -- Initial forms for regular strings and nets -- Protochips and parachips -- N-support of an indexing string for 2?N?6 -- Prescales -- Derived prescales -- Supports of prescales -- Protoscales -- Inner products for protoscales -- Scales and isobars -- Properties of derived prescales -- Isobars for derived scales -- Isobars and initial forms for scales -- Initial forms for scales and regular nets -- Isobars for protochips -- Initial forms for protochips and monic polynomials
UR  - http://dx.doi.org/10.1007/BFb0093060
ER  -