The Lefschetz Properties (Record no. 31315)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03301nam a22005655i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783642382062 |
| -- | 978-3-642-38206-2 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Harima, Tadahito. |
| 245 14 - TITLE STATEMENT | |
| Title | The Lefschetz Properties |
| Statement of responsibility, etc | by Tadahito Harima, Toshiaki Maeno, Hideaki Morita, Yasuhide Numata, Akihito Wachi, Junzo Watanabe. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Berlin, Heidelberg : |
| Name of publisher | Springer Berlin Heidelberg : |
| -- | Imprint: Springer, |
| Year of publication | 2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIX, 250 p. 20 illus. |
| Other physical details | online resource. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Mathematics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction and Historical Note -- 1. Poset Theory -- 2. Basics on the Theory of Local Rings -- 3. Lefschetz Properties -- 4. Compete Intersections with the SLP -- 5. A Generalization of Lefschetz Elements -- 6. k-Lefschetz Properties -- 7. Cohomology Rings -- 8. Invariant Theory and Lefschetz Property -- 9. The Strong Lefschetz Property and the Schur–Weyl Duality. . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Geometry, algebraic. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Combinatorics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebra. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebraic Geometry. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Combinatorics. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Maeno, Toshiaki. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Morita, Hideaki. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Numata, Yasuhide. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Wachi, Akihito. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Watanabe, Junzo. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-642-38206-2 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg : |
| -- | Imprint: Springer, |
| -- | 2013. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0075-8434 ; |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK2021 | http://dx.doi.org/10.1007/978-3-642-38206-2 | E-BOOKS |