000			04447nam a22004933i 4500
001			EBC3113123
003			MiAaPQ
005			20240729124533.0
006			m o d |
007			cr cnu||||||||
008			240724s2013 xx o ||||0 eng d
020			_a9781470414108 _q(electronic bk.)
020			_z9781470410216
035			_a(MiAaPQ)EBC3113123
035			_a(Au-PeEL)EBL3113123
035			_a(CaPaEBR)ebr10878578
035			_a(OCoLC)922980604
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA582 -- .B45 2013eb
082	0		_a516.3/5
100	1		_aAmini, Omid.
245	1	0	_aTropical and Non-Archimedean Geometry.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2013.
264		4	_c©2013.
300			_a1 online resource (274 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aContemporary Mathematics ; _vv.605
505	0		_aIntro -- Preface -- 1. Overview of the workshop -- 2. Tropical Geometry from a Non-Archimedean Viewpoint -- 3. Tropicalization and analytification -- Polyhedral structures on tropical varieties -- 1. Introduction -- 2. Gröbner complex -- 3. Proofs -- Acknowledgements -- References -- Lifting nonproper tropical intersections -- 1. Introduction -- 2. Analytifications and tropicalizations -- 3. Compatible and compactifying fans -- 4. The moving lemma -- 5. Continuity of intersection numbers -- 6. Tropical lifting theorems -- 7. An example -- References -- 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 -- 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 -- 7. Uniformization of Jacobian varieties -- 8. Arithmetic Schottky groups -- Acknowledgements -- References -- Diophantine geometry and analytic spaces -- 1. Introduction -- 2. The standard height function.
505	8		_a3. Heights for line bundles, canonical heights -- 4. Level sets for the canonical height -- 5. Equidistribution (arithmetic case) -- 6. Measures on analytic spaces -- 7. Bogomolov's conjecture for totally degenerate abelian varieties -- Acknowledgements -- References -- Tropicalizing vs. compactifying the Torelli morphism -- 1. Introduction -- 2. Moduli spaces of curves -- 3. Moduli spaces of abelian varieties -- 4. The Torelli maps -- 5. The anticontinuity of the reduction maps -- References -- Primer for the algebraic geometry of sandpiles -- 1. Introduction -- 2. Sandpiles -- 3. Lattice ideals -- 4. Toppling ideals -- 5. Gröbner bases of toppling ideals -- 6. Zeros of the toppling ideal -- 7. Resolutions -- 8. Gorenstein toppling ideals -- References.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aTropical geometry -- Congresses.
650		0	_aGeometry, Analytic -- Congresses.
655		4	_aElectronic books.
700	1		_aBaker, Matthew.
700	1		_aFaber, Xander.
776	0	8	_iPrint version: _aAmini, Omid _tTropical and Non-Archimedean Geometry _dProvidence : American Mathematical Society,c2013 _z9781470410216
797	2		_aProQuest (Firm)
830		0	_aContemporary Mathematics
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113123 _zClick to View
999			_c68658 _d68658