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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2009.
|
| Edición: | 2nd ed. 2009. |
| Colección: | Oberwolfach Seminars,
35 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-0346-0048-4 | ||
| 003 | DE-He213 | ||
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| 024 | 7 | |a 10.1007/978-3-0346-0048-4 |2 doi | |
| 050 | 4 | |a QA564-609 | |
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| 100 | 1 | |a Itenberg, Ilia. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Tropical Algebraic Geometry |h [electronic resource] / |c by Ilia Itenberg, Grigory Mikhalkin, Eugenii I. Shustin. |
| 250 | |a 2nd ed. 2009. | ||
| 264 | 1 | |a Basel : |b Birkhäuser Basel : |b Imprint: Birkhäuser, |c 2009. | |
| 300 | |a IX, 104 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Oberwolfach Seminars, |x 2296-5041 ; |v 35 | |
| 505 | 0 | |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. | |
| 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 | 0 | |a Algebraic geometry. | |
| 650 | 1 | 4 | |a Algebraic Geometry. |
| 700 | 1 | |a Mikhalkin, Grigory. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Shustin, Eugenii I. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783034601313 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034600477 |
| 830 | 0 | |a Oberwolfach Seminars, |x 2296-5041 ; |v 35 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-0346-0048-4 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||