LEADER 03841nam 2200601 450 001 9910480091803321 005 20180731045130.0 010 $a1-4704-0940-2 035 $a(CKB)3360000000464281 035 $a(EBL)3113321 035 $a(SSID)ssj0000893456 035 $a(PQKBManifestationID)11478647 035 $a(PQKBTitleCode)TC0000893456 035 $a(PQKBWorkID)10906105 035 $a(PQKB)10608989 035 $a(MiAaPQ)EBC3113321 035 $a(PPN)197102328 035 $a(EXLCZ)993360000000464281 100 $a20140613h20132013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAlgebraic and combinatorial aspects of tropical geometry $eCIEM Workshop on Tropical Geometry, December 12-16, 2011, International Center for Mathematical Meetings, Castro Urdiales, Spain /$fErwan Brugalle? [and four others],editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2013. 210 4$dİ2013 215 $a1 online resource (362 p.) 225 1 $aContemporary Mathematics,$x1098-3627 ;$vVolume 589 300 $aDescription based upon print version of record. 311 $a0-8218-9146-4 320 $aIncludes bibliographical references. 327 $a""Dedication""; ""Preface""; ""Intersection multiplicity numbers between tropical hypersurfaces""; ""Introduction""; ""1. Toric hypersurfaces""; ""2. Intersection of toric hypersurfaces""; ""3. Tropical hypersurfaces""; ""4. Intersection of tropical hypersurfaces""; ""5. Intersection multiplicity numbers between tropical hypersurfaces""; ""6. Tropical intersection numbers via volumes of Cayley polytopes""; ""7. Non degenenerate tropical complete intersections""; ""References""; ""On the total curvature of tropical hypersurfaces""; ""1. Introduction""; ""2. Preliminary"" 327 $a""2.1. Total curvature""""2.2. Tropical hypersurfaces""; ""2.3. Real convergent Puiseux series and tropicalisation""; ""2.4. Real tropical hypersurfaces""; ""3. Total curvature of real and complex amoebas""; ""4. Complex and real total curvature of tropical hypersurfaces""; ""4.1. Complex total curvature""; ""4.2. Total curvature of real tropical hypersurfaces""; ""5. Polyhedral total curvature of a real tropical hypersurface.""; ""5.1. Definition and elementary properties""; ""5.2. Elementary simplex case""; ""5.3. Proof of Proposition 5.8""; ""6. Complement""; ""6.1. Tropical lower bound"" 327 $a""Tropically unirational varieties""""1. Tropical Unirationality""; ""Acknowledgements""; ""2. Linear spaces, toric varieties, homogenisation, curves""; ""3. Combining reparameterisations""; ""4. Birational projections""; ""5. Very local reparameterisations""; ""6. Concluding remarks""; ""References""; ""A Guide to Tropicalizations""; ""1. Introduction""; ""2. Analytification""; ""3. Tropicalization""; ""4. Models over the valuation ring and reduction""; ""5. Initial degeneration""; ""6. Affine toric schemes over a valuation ring""; ""7. Toric schemes over a valuation ring"" 327 $a""6. The layered categories and the corresponding tropicalization functors"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vVolume 589. 606 $aTropical geometry$vCongresses 606 $aCombinatorial analysis$vCongresses 608 $aElectronic books. 615 0$aTropical geometry 615 0$aCombinatorial analysis 676 $a516.3/5 702 $aBrugalle?$b Erwan$f1977- 712 02$aCIEM (Universidad de Cantabria), 712 12$aCIEM Workshop on Tropical Geometry 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480091803321 996 $aAlgebraic and combinatorial aspects of tropical geometry$9833085 997 $aUNINA