دانلود کتاب Desingularization: Invariants and Strategy: Application to Dimension 2

فهرست مطالب :

Front Matter ....Pages i-viii
Introduction (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 1-14
Basic Invariants for Singularities (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 15-36
Permissible Blow-Ups (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 37-48
\\(\\mathcal {B}\\)-Permissible Blow-Ups: The Embedded Case (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 49-63
\\( \\mathcal {B}\\)-Permissible Blow-Ups: The Non-embedded Case (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 65-77
Main Theorems and Strategy for Their Proofs (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 79-104
(u)-standard Bases (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 105-116
Characteristic Polyhedra of J ⊂ R (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 117-131
Transformation of Standard Bases Under Blow-Ups (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 133-144
Termination of the Fundamental Sequences of \\( \\mathcal {B}\\)-Permissible Blow-Ups, and the Case ex(X) = 1 (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 145-153
Additional Invariants in the Case ex(X) = 2 (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 155-160
Proof in the Case ex(X) = esx(X) = 2 , I: Some Key Lemmas (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 161-166
Proof in the Case \\(e_x(X)=\\overline {e}_x(X)=2\\) , II: Separable Residue Extensions (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 167-173
Proof in the Case ex(X) = ex(X) = 2 , III: Inseparable Residue Extensions (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 175-190
Non-existence of Maximal Contact in Dimension 2 (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 191-200
An Alternative Proof of Theorem 6.17 (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 201-204
Functoriality, Locally Noetherian Schemes, Algebraic Spaces and Stacks (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 205-209
Appendix. Hironaka’s Characteristic Polyhedron. Notes for Novices(B.Schober) (Vincent Cossart, Uwe Jannsen, Shuji Saito)....Pages 211-247
Back Matter ....Pages 249-258