Tropical algebraic geometry
Tropical geometry is algebraic geometry over the semifield of tropical numbers, i.e., the real numbers and negative infinity enhanced with the (max,+)-arithmetics. Geometrically, tropical varieties are much simpler than their classical counterparts. Yet they carry information about complex and real...
Αποθηκεύτηκε σε:
| Κύριοι συγγραφείς: | , , |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Έκδοση: | 2nd ed. 2009. |
| Σειρά: | Oberwolfach Seminars
35 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
Description d'après consultation du 26 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Tropical algebraic geometry, Ilia Itenberg, Grigory Mikhalkin, Eugenii Shustin, 2nd edition, 2009, Basel, Birkhäuser, 1 vol. (VIII-104 p.), Oberwolfach Seminars, 978-3-0346-0047-7 • Tropical Algebraic Geometry, Texte imprimé, 9783034601313 |
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| 041 | 0 | |a eng | |
| 082 | |a 516.35 | ||
| 084 | |a 14M25. 2000 | ||
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| 100 | 1 | |a Itenberg, Ilia, |d 1966-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Tropical algebraic geometry |c by Illia Itenberg, Grigory Mikhalkin, Eugenii Shustin. |
| 250 | |a 2nd ed. 2009. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Oberwolfach Seminars |v 35 |x 2296-5041 | |
| 500 | |a Description d'après consultation du 26 mars 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. | ||
| 505 | 1 | |a Preface 1. Introduction to tropical geometry - Images under the logarithm - Amoebas - Tropical curves 2. Patchworking of algebraic varieties - Toric geometry - Viro's patchworking method - Patchworking of singular algebraic surfaces - Tropicalization in the enumeration of nodal curves 3. Applications of tropical geometry to enumerative geometry - Tropical hypersurfaces - Correspondence theorem - Welschinger invariants Bibliography | |
| 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 Tropical geometry is algebraic geometry over the semifield of tropical numbers, i.e., the real numbers and negative infinity enhanced with the (max,+)-arithmetics. Geometrically, tropical varieties are much simpler than their classical counterparts. Yet they carry information about complex and real varieties. These notes present an introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of three chapters which complete each other and give a possibility for non-specialists to make the first steps in the subject which is not yet well represented in the literature. The intended audience is graduate, post-graduate, and Ph.D. students as well as established researchers in mathematics | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Géométrie énumérative | ||
| 650 | |a Actes de congrès | ||
| 700 | 1 | |a Mikhalkin, Grigory. |4 aut | |
| 700 | 1 | |a Shustin, Eugenii I., |d 1957- |4 aut | |
| 776 | 0 | |0 133416038 |t Tropical algebraic geometry |f Ilia Itenberg, Grigory Mikhalkin, Eugenii Shustin |e 2nd edition |d 2009 |c Basel |n Birkhäuser |p 1 vol. (VIII-104 p.) |s Oberwolfach Seminars |z 978-3-0346-0047-7 | |
| 776 | 0 | |t Tropical Algebraic Geometry |b Texte imprimé |z 9783034601313 | |
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