The Lefschetz Properties
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 las...
সংরক্ষণ করুন:
| প্রধান লেখক: | , , , , , |
|---|---|
| অন্যান্য লেখক: | , , |
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| সংস্করন: | 1st ed. 2013. |
| মালা: | Lecture Notes in Mathematics
2080 |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
L'impression du document génère 268 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Lefschetz properties, Tadahito Harima, Toshiaki Maeno, Hideaki Morita,... [et al.], Heidelberg, Springer, 2013, 1 vol. (XIX-250 p.), Lecture notes in mathematics, 978-3-642-38205-5 • The Lefschetz properties, Tadahito Harima, Toshiaki Maeno, Hideaki Morita,... [et al.], Heidelberg, Springer, 2013, 1 vol. (XIX-250 p.), Lecture notes in mathematics, 978-3-642-38205-5 • The Lefschetz Properties, Texte imprimé, 9783642382079 |
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| 020 | |a 9783642382062 | ||
| 041 | 0 | |a eng | |
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| 084 | |a 13A02. 2010 | ||
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| 084 | |a 14F99. 2010 | ||
| 084 | |a 14L30. 2010 | ||
| 084 | |a 17B10. 2010 | ||
| 100 | 1 | |a Harima, Tadahito. | |
| 245 | 1 | 0 | |a The Lefschetz Properties |c Tadahito Harima, Toshiaki Maeno, Hideaki Morita,... [et al.]. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 2080 |x 1617-9692 | |
| 500 | |a L'impression du document génère 268 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | |a Algèbres artiniennes | ||
| 650 | |a Anneaux locaux | ||
| 650 | |a Anneaux artiniens | ||
| 700 | 1 | |a Maeno, Toshiaki. |4 aut | |
| 700 | 1 | |a Morita, Hideaki. |4 aut | |
| 700 | 1 | |a Numata, Yasuhide. |4 aut | |
| 700 | 1 | |a Wachi, Akihito. |4 aut | |
| 700 | 1 | |a Watanabe, Junzo. |4 aut | |
| 700 | 1 | |a Harima, Tadahito, |d 19..- |4 clb | |
| 700 | 1 | |a Maeno, Toshiaki, |d 19..- |4 clb | |
| 700 | 1 | |a Morita, Hideaki, |d 19..-...., |c mathématicien. |4 clb | |
| 776 | 0 | |0 172039665 |t The Lefschetz properties |f Tadahito Harima, Toshiaki Maeno, Hideaki Morita,... [et al.] |c Heidelberg |n Springer |d 2013 |p 1 vol. (XIX-250 p.) |s Lecture notes in mathematics |z 978-3-642-38205-5 | |
| 776 | 0 | |0 172039665 |t The Lefschetz properties |f Tadahito Harima, Toshiaki Maeno, Hideaki Morita,... [et al.] |c Heidelberg |n Springer |d 2013 |p 1 vol. (XIX-250 p.) |s Lecture notes in mathematics |z 978-3-642-38205-5 | |
| 776 | 0 | |t The Lefschetz Properties |b Texte imprimé |z 9783642382079 | |
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