Minimal free resolutions over complete intersections:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham
Springer
[2016]
|
Schriftenreihe: | Lecture notes in mathematics
2152 |
Schlagworte: | |
Online-Zugang: | BTU01 FHR01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Abstract |
Beschreibung: | 1 Online-Ressource (X, 107 Seiten) |
ISBN: | 9783319264370 9783319264363 |
ISSN: | 0075-8434 |
DOI: | 10.1007/978-3-319-26437-0 |
Internformat
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Datensatz im Suchindex
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adam_text | MINIMAL FREE RESOLUTIONS OVER COMPLETE INTERSECTIONS
/ EISENBUD, DAVID
: 2016
ABSTRACT / INHALTSTEXT
THIS BOOK INTRODUCES A THEORY OF HIGHER MATRIX FACTORIZATIONS FOR
REGULAR SEQUENCES AND USES IT TO DESCRIBE THE MINIMAL FREE RESOLUTIONS
OF HIGH SYZYGY MODULES OVER COMPLETE INTERSECTIONS. SUCH RESOLUTIONS
HAVE ATTRACTED ATTENTION EVER SINCE THE ELEGANT CONSTRUCTION OF THE
MINIMAL FREE RESOLUTION OF THE RESIDUE FIELD BY TATE IN 1957. THE THEORY
EXTENDS THE THEORY OF MATRIX FACTORIZATIONS OF A NON-ZERO DIVISOR,
INITIATED BY EISENBUD IN 1980, WHICH YIELDS A DESCRIPTION OF THE
EVENTUAL STRUCTURE OF MINIMAL FREE RESOLUTIONS OVER A HYPERSURFACE RING.
MATRIX FACTORIZATIONS HAVE HAD MANY OTHER USES IN A WIDE RANGE OF
MATHEMATICAL FIELDS, FROM SINGULARITY THEORY TO MATHEMATICAL PHYSICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Eisenbud, David 1947- Peeva, Irena |
author_GND | (DE-588)139999671 (DE-588)14103808X |
author_facet | Eisenbud, David 1947- Peeva, Irena |
author_role | aut aut |
author_sort | Eisenbud, David 1947- |
author_variant | d e de i p ip |
building | Verbundindex |
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dewey-full | 512.44 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.44 |
dewey-search | 512.44 |
dewey-sort | 3512.44 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-26437-0 |
format | Electronic eBook |
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isbn | 9783319264370 9783319264363 |
issn | 0075-8434 |
language | English |
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spelling | Eisenbud, David 1947- Verfasser (DE-588)139999671 aut Minimal free resolutions over complete intersections David Eisenbud, Irena Peeva Cham Springer [2016] © 2016 1 Online-Ressource (X, 107 Seiten) txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2152 0075-8434 Mathematics Algebraic geometry Category theory (Mathematics) Homological algebra Commutative algebra Commutative rings Physics Commutative Rings and Algebras Algebraic Geometry Category Theory, Homological Algebra Theoretical, Mathematical and Computational Physics Mathematik Peeva, Irena Verfasser (DE-588)14103808X aut https://doi.org/10.1007/978-3-319-26437-0 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028919901&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract |
spellingShingle | Eisenbud, David 1947- Peeva, Irena Minimal free resolutions over complete intersections Mathematics Algebraic geometry Category theory (Mathematics) Homological algebra Commutative algebra Commutative rings Physics Commutative Rings and Algebras Algebraic Geometry Category Theory, Homological Algebra Theoretical, Mathematical and Computational Physics Mathematik |
title | Minimal free resolutions over complete intersections |
title_auth | Minimal free resolutions over complete intersections |
title_exact_search | Minimal free resolutions over complete intersections |
title_full | Minimal free resolutions over complete intersections David Eisenbud, Irena Peeva |
title_fullStr | Minimal free resolutions over complete intersections David Eisenbud, Irena Peeva |
title_full_unstemmed | Minimal free resolutions over complete intersections David Eisenbud, Irena Peeva |
title_short | Minimal free resolutions over complete intersections |
title_sort | minimal free resolutions over complete intersections |
topic | Mathematics Algebraic geometry Category theory (Mathematics) Homological algebra Commutative algebra Commutative rings Physics Commutative Rings and Algebras Algebraic Geometry Category Theory, Homological Algebra Theoretical, Mathematical and Computational Physics Mathematik |
topic_facet | Mathematics Algebraic geometry Category theory (Mathematics) Homological algebra Commutative algebra Commutative rings Physics Commutative Rings and Algebras Algebraic Geometry Category Theory, Homological Algebra Theoretical, Mathematical and Computational Physics Mathematik |
url | https://doi.org/10.1007/978-3-319-26437-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028919901&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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