Kähler Differentials:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | German |
| Veröffentlicht: |
Wiesbaden
Vieweg+Teubner Verlag
1986
|
| Schriftenreihe: | Advanced Lectures in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is based on a lecture course that I gave at the University of Regensburg. The purpose of these lectures was to explain the role of Kähler differential forms in ring theory, to prepare the road for their application in algebraic geometry, and to lead up to some research problems. The text discusses almost exclusively local questions and is therefore written in the language of commutative alge bra. The translation into the language of algebraic geometry is easy for the reader who is familiar with sheaf theory and the theory of schemes. The principal goals of the monograph are: To display the information contained in the algebra of Kähler differential forms (de Rham algebra) of a commutative algebra, to int- duce and discuss "differential invariants" of algebras, and to prove theorems about algebras with "differential methods". The most important object we study is the module of Kähler differentials n~/R of an algebra SIR. Like the differentials of analysis, differential modules "linearize" problems, i.e. reduce questions about algebras (non-linear problems) to questions of linear algebra. We are mainly interested in algebras of finite type |
| Beschreibung: | 1 Online-Ressource (VII, 402 S.) |
| ISBN: | 9783663140740 9783528089733 |
| ISSN: | 0932-7134 |
| DOI: | 10.1007/978-3-663-14074-0 |
Internformat
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| 500 | |a This book is based on a lecture course that I gave at the University of Regensburg. The purpose of these lectures was to explain the role of Kähler differential forms in ring theory, to prepare the road for their application in algebraic geometry, and to lead up to some research problems. The text discusses almost exclusively local questions and is therefore written in the language of commutative alge bra. The translation into the language of algebraic geometry is easy for the reader who is familiar with sheaf theory and the theory of schemes. The principal goals of the monograph are: To display the information contained in the algebra of Kähler differential forms (de Rham algebra) of a commutative algebra, to int- duce and discuss "differential invariants" of algebras, and to prove theorems about algebras with "differential methods". The most important object we study is the module of Kähler differentials n~/R of an algebra SIR. Like the differentials of analysis, differential modules "linearize" problems, i.e. reduce questions about algebras (non-linear problems) to questions of linear algebra. We are mainly interested in algebras of finite type | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Functional equations | |
| 650 | 4 | |a Differential equations, partial | |
| 650 | 4 | |a Partial Differential Equations | |
| 650 | 4 | |a Difference and Functional Equations | |
| 650 | 4 | |a Mathematics, general | |
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Datensatz im Suchindex
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| author | Kunz, Ernst |
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| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515.353 |
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| dewey-tens | 510 - Mathematics |
| discipline | Allgemeine Naturwissenschaft Mathematik |
| doi_str_mv | 10.1007/978-3-663-14074-0 |
| format | Electronic eBook |
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| id | DE-604.BV042452259 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:22:07Z |
| institution | BVB |
| isbn | 9783663140740 9783528089733 |
| issn | 0932-7134 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027887505 |
| oclc_num | 860330442 |
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| owner_facet | DE-91 DE-BY-TUM DE-634 DE-92 DE-706 |
| physical | 1 Online-Ressource (VII, 402 S.) |
| psigel | ZDB-2-SNA ZDB-2-BAD ZDB-2-SNA_Archive |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Vieweg+Teubner Verlag |
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| series2 | Advanced Lectures in Mathematics |
| spelling | Kunz, Ernst Verfasser aut Kähler Differentials von Ernst Kunz Wiesbaden Vieweg+Teubner Verlag 1986 1 Online-Ressource (VII, 402 S.) txt rdacontent c rdamedia cr rdacarrier Advanced Lectures in Mathematics 0932-7134 This book is based on a lecture course that I gave at the University of Regensburg. The purpose of these lectures was to explain the role of Kähler differential forms in ring theory, to prepare the road for their application in algebraic geometry, and to lead up to some research problems. The text discusses almost exclusively local questions and is therefore written in the language of commutative alge bra. The translation into the language of algebraic geometry is easy for the reader who is familiar with sheaf theory and the theory of schemes. The principal goals of the monograph are: To display the information contained in the algebra of Kähler differential forms (de Rham algebra) of a commutative algebra, to int- duce and discuss "differential invariants" of algebras, and to prove theorems about algebras with "differential methods". The most important object we study is the module of Kähler differentials n~/R of an algebra SIR. Like the differentials of analysis, differential modules "linearize" problems, i.e. reduce questions about algebras (non-linear problems) to questions of linear algebra. We are mainly interested in algebras of finite type Mathematics Functional equations Differential equations, partial Partial Differential Equations Difference and Functional Equations Mathematics, general Mathematik Ringtheorie (DE-588)4126571-3 gnd rswk-swf Kähler-Differentialform (DE-588)4125301-2 gnd rswk-swf Kähler-Differentialform (DE-588)4125301-2 s Ringtheorie (DE-588)4126571-3 s 1\p DE-604 https://doi.org/10.1007/978-3-663-14074-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kunz, Ernst Kähler Differentials Mathematics Functional equations Differential equations, partial Partial Differential Equations Difference and Functional Equations Mathematics, general Mathematik Ringtheorie (DE-588)4126571-3 gnd Kähler-Differentialform (DE-588)4125301-2 gnd |
| subject_GND | (DE-588)4126571-3 (DE-588)4125301-2 |
| title | Kähler Differentials |
| title_auth | Kähler Differentials |
| title_exact_search | Kähler Differentials |
| title_full | Kähler Differentials von Ernst Kunz |
| title_fullStr | Kähler Differentials von Ernst Kunz |
| title_full_unstemmed | Kähler Differentials von Ernst Kunz |
| title_short | Kähler Differentials |
| title_sort | kahler differentials |
| topic | Mathematics Functional equations Differential equations, partial Partial Differential Equations Difference and Functional Equations Mathematics, general Mathematik Ringtheorie (DE-588)4126571-3 gnd Kähler-Differentialform (DE-588)4125301-2 gnd |
| topic_facet | Mathematics Functional equations Differential equations, partial Partial Differential Equations Difference and Functional Equations Mathematics, general Mathematik Ringtheorie Kähler-Differentialform |
| url | https://doi.org/10.1007/978-3-663-14074-0 |
| work_keys_str_mv | AT kunzernst kahlerdifferentials |