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020 _a9783034600484
_99783034600484
024 7 _a10.1007/9783034600484
_2doi
035 _avtls000345161
039 9 _a201509030410
_bVLOAD
_c201405050317
_dVLOAD
_y201402061330
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA564-609
100 1 _aItenberg, Illia.
_eautor
_9325127
245 1 0 _aTropical Algebraic Geometry /
_cby Illia Itenberg, Grigory Mikhalkin, Eugenii Shustin.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2009.
300 _brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aOberwolfach Seminars ;
_v35
500 _aSpringer eBooks
505 0 _aPreface -- 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 _aTropical 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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aMikhalkin, Grigory.
_eautor
_9325128
700 1 _aShustin, Eugenii.
_eautor
_9325129
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783034600477
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-0346-0048-4
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c292939
_d292939