LEADER 03798nam 2200613 450 001 9910478879303321 005 20180731043956.0 010 $a1-4704-1410-4 035 $a(CKB)3780000000000330 035 $a(EBL)3113123 035 $a(SSID)ssj0001255898 035 $a(PQKBManifestationID)11715014 035 $a(PQKBTitleCode)TC0001255898 035 $a(PQKBWorkID)11246752 035 $a(PQKB)10733601 035 $a(MiAaPQ)EBC3113123 035 $a(PPN)197102492 035 $a(EXLCZ)993780000000000330 100 $a20140612h20132013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTropical and non-Archimedean geometry $eBellairs Workshop in Number Theory, May 6-13, 2011, Bellairs Research Institute, Holetown, Barbados /$fOmid Amini, Matthew Baker, Xander Faber, editors 210 1$aProvidence, Rhode Island ;$aMontre?al, Que?bec :$cAmerican Mathematical Society :$cCentre de Recherches Mathe?matiques,$d2013. 210 4$dİ2013 215 $a1 online resource (274 p.) 225 0 $aCentre de Recherches Mathe?matiques Proceedings 225 1 $aContemporary Mathematics,$x1098-3627 ;$vVolume 605 300 $aDescription based upon print version of record. 311 $a1-4704-1021-4 320 $aIncludes bibliographical references. 327 $a""Fewnomial systems with many roots, and an Adelic Tau Conjecture""""1. Introduction""; ""2. Applications and new conjectures on straight-line programs""; ""3. Background: from triangles to toric deformations and tropical varieties""; ""4. Proving our main results""; ""5. Wrapping up: Invariance of _{ }( , ), and the proofs of Proposition 1.4, Theorem 1.10, and Lemmata 4.1 and 4.2""; ""Acknowledgements""; ""References""; ""Non-Archimedean Coamoebae""; ""Introduction""; ""1. Tropicalization and coamoebae""; ""2. Non-Archimedean coamoebae and phase tropical varieties"" 327 $a""3. Coamoebae of tropically simple varieties""""References""; ""On the structure of non-archimedean analytic curves""; ""1. Introduction""; ""2. The skeleton of a generalized annulus""; ""3. Semistable decompositions and skeleta of curves""; ""4. Relation with semistable models""; ""5. The metric structure on an analytic curve""; ""References""; ""Non-archimedean uniformization and monodromy pairing""; ""1. Introduction""; ""2. Notation""; ""3. Monodromy pairing""; ""4. Tate curves""; ""5. Uniformization of abelian varieties""; ""6. Uniformization of curves"" 327 $a""7. Uniformization of Jacobian varieties""""8. Arithmetic Schottky groups""; ""Acknowledgements""; ""References""; ""Diophantine geometry and analytic spaces""; ""1. Introduction""; ""2. The standard height function""; ""3. Heights for line bundles, canonical heights""; ""4. Level sets for the canonical height""; ""5. Equidistribution (arithmetic case)""; ""6. Measures on analytic spaces""; ""7. Bogomolova???s conjecture for totally degenerate abelian varieties""; ""Acknowledgements""; ""References""; ""Tropicalizing vs. compactifying the Torelli morphism""; ""1. Introduction"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vVolume 605. 606 $aTropical geometry$vCongresses 606 $aGeometry, Analytic$vCongresses 608 $aElectronic books. 615 0$aTropical geometry 615 0$aGeometry, Analytic 676 $a516.3/5 702 $aAmini$b Omid$f1980- 702 $aBaker$b Matthew$f1973- 702 $aFaber$b Xander 712 12$aBellairs Workshop in Number Theory 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910478879303321 996 $aTropical and non-Archimedean geometry$92142284 997 $aUNINA