Arc schemes and singularities

by Bourqui, David Nicaise, Johannes Sebag, Julien

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Arc schemes and singularities / edited by Johannes Nicaise (Imperial College, London, UK), David Bourqui (Univ. of Rennes 1, France), & Julien Sebag (Univ. of Rennes 1, France).

Edition Statements

Publication Date:2019.

Publication Statements

Publisher(s):World Scientific
Place of Publication:New Jersey
Language:eng
Publication Date:2019.

The Physical Object

Description:1 online resource (1 volume)

Edition Identifiers

ISBN:9781786347206, 1786347202
oclc:on1149390967
LC Classification:QA567
Dewey Decimal:516.3/5

Intro -- Contents -- About the Editors -- Chap. 1. Introduction -- Bibliography -- Chap. 2. Arc Schemes in Geometry and Differential Algebra -- 1. Weil Restrictions -- 2. Jet Schemes -- 3. Arc Schemes -- 4. Some Brief Reminders on Differential Algebra -- 5. Adjunction Formulas in Differential Algebra -- 6. Algebro-differential Description of Jet/Arc Schemes -- 7. The Universal Algebra of Higher Derivations -- Bibliography -- Chap. 3. The Grinberg-Kazhdan Formal Arc Theorem and the Newton Groupoids -- 1. Introduction -- 2. The Grinberg-Kazhdan Theorem -- 3. Rephrasing the Proof from Section 2

4. Introduction to the Newton Groupoids -- 5. Newton Groupoids (Details) -- Acknowledgment -- Bibliography -- Chap. 4. Non-complete Completions -- 1. Introduction -- 2. A Necessary and Sufficient Condition to be Adically Complete -- 3. A Not I-adically Complete Completion -- Acknowledgments -- Bibliography -- Chap. 5. The Local Structure of Arc Schemes -- 1. Introduction -- 2. Conventions and Notations -- 3. The Drinfeld-Grinberg-Kazhdan Theorem -- 4. A Simplification Lemma in Formal Geometry -- 5. The Minimal Formal Model of a Rational Non-degenerate Arc -- 6. The Case of Degenerate Arcs

7.…

Subjects

Algebraic spaces Constructions géométriques Courbes algébriques Curves, Algebraic Espaces algébriques Geometrical constructions Géométrie algébrique Geometry, Algebraic Singularités (Mathématiques) Singularities (Mathematics)