Tag: tropical-geometry

52 Why tropical geometry? 2011-12-16T14:49:30.620

36 What can we learn from the tropicalization of an algebraic variety? 2011-01-26T01:03:08.580

33 How should one approach tropical mathematics? 2009-11-05T08:04:53.273

31 Mikhalkin's tropical schemes versus Durov's tropical schemes 2011-08-10T19:19:58.050

28 How is tropicalization like taking the classical limit? 2009-10-13T04:44:30.640

26 Important open questions in the field of Tropical geometry 2012-06-12T09:44:37.283

24 Is the Ford-Fulkerson algorithm a tropical rational function? 2018-04-04T19:28:31.780

19 Learning Tropical geometry 2011-12-31T07:01:34.570

19 Which manifolds decompose into pants? 2012-11-19T21:53:05.373

19 What is Tropicalization, and how is it applied 2013-10-09T06:15:30.117

15 Tropical homological algebra 2011-02-10T11:18:25.490

14 Is there a Galois theory for $\mathbb R_{\geq 0}$? 2015-10-24T13:40:45.620

12 Strange formula in arithmetic dynamic 2017-04-10T03:16:18.273

11 Weight filtration and Hodge theory for tropical varieties 2011-01-20T19:41:15.400

10 What can we say about tropical maps $\mathbb{P}^1 \to A$ for an Abelian variety $A$? 2015-10-05T11:11:44.293

9 Is there a tropical geometric proof for counting genus g curves in any n dimensional projective space? 2015-07-09T08:02:42.623

7 Properties from Tropical Geometry that do not imply their algebraic counterpart. 2011-08-25T13:34:58.710

7 Chow ring of extended tropicalizations 2013-07-02T20:10:57.130

7 Has this generalization of a determinant (assigning multiplicities to the rows) been studied? 2014-01-07T21:05:07.203

6 Hodge Bundles on Tropical Spaces 2014-11-11T02:54:22.407

5 Is anything known about the enumeration of degree d, genus g curves in CP^2 where g >1 ? 2010-08-14T02:22:31.170

5 $L_1$ and $L_\infty$ Voronoi diagrams and tropical geometry: Connection? 2013-08-31T19:44:39.703

5 Is there any structure theorem for piecewise linear functions? 2016-09-12T14:20:28.653

4 Tropical Properties From Algebraic Geometry 2011-03-20T17:15:27.740

4 Intersection of curves on projective toric surface and some enumerative questions 2011-04-22T15:33:21.293

4 Family of hypersurfaces in (C^*)^2 corresponding to tropical family 2013-02-04T17:02:56.000

4 Can Hausdorff dimension make sets into a Tropical Semiring? 2014-02-14T18:34:24.550

4 Two variants of the Littlewood-Offord theorem 2017-01-26T22:40:34.343

4 Does a nontrivial notion of integral under logarithmic deformations of $\mathbb{R}_+$ exist? 2017-03-03T18:25:29.887

4 Tropical charts (coordinates) and differential forms in non-archimedean geometry 2018-07-23T03:09:16.933

3 When is the quotient of a tropical curve also a tropical curve? 2011-02-09T08:05:54.230

3 Hypersurfaces in Toric Varieties, Help understand a proof from Mikhalkin's paper 2012-04-04T14:18:20.220

3 How to recover toric invariants tropically? 2012-11-19T17:17:07.557

3 Tropicalization of the Grassmannian 2013-04-15T14:40:32.200

3 Tropical polynomial Positivstellensatz 2014-09-23T01:13:58.843

3 Looking for interesting, natural models of this algebraic theory in which $x^\dagger$ is not always the multiplicative inverse of $x$ 2014-12-26T19:42:36.190

3 Can MacLane's notion of universality inform $\mathbb{F}_1$? 2017-03-06T15:29:31.127

3 Poles of an integral of a meromorphic function with toric poles 2017-08-28T12:24:03.417

3 Max-Plus algebra and hyperplane arrangements 2017-11-14T21:39:08.327

3 Factorization of tropical polynomials 2018-01-13T09:25:50.927

2 Simple topological question on taking complements inside a simplex 2010-09-16T15:30:43.780

2 Algorithms for "Ideals" in polynomial algebras over the max-plus semi-ring 2012-05-21T17:40:59.710

2 Picture of a 3 dimensional amoeba. 2013-01-30T10:44:49.777

2 Asymptotics vs Puiseux series 2013-05-01T07:36:34.347

2 Gradient of Ronkin function 2013-12-03T05:10:50.770

2 group structure on (subsets of) tropicalizations of Abelian varieties 2014-06-06T17:46:48.887

2 Are schemes which agree on open set and its complement equal? - w/ applications to initial ideals/tropical basis 2015-04-10T14:18:21.487

2 holomorphic curves in almost toric fibration and their relation to tropical curves 2015-10-06T13:24:32.457

2 Tropical self intersection number of boundary divisor on toroidal embedding 2016-07-10T16:46:53.600

2 Can we have "tropical polynomials" with arbitrary real powers? 2018-01-07T14:02:19.173

1 How to Tropicalize a Polynomial in Two Variables? 2010-11-13T00:14:35.993

1 Bases of Ideals With no Monomials 2011-05-11T02:30:14.427

1 Notion of transversality over the field of Puiseux series. 2013-04-18T09:50:12.997

1 Boundary of a tropical variety. 2014-01-27T14:10:25.567

1 Is there any "fundamental" distinction between min-plus, max-plus, min-product, and max-product algebras? 2017-12-05T00:10:10.343

1 Conjugating the tropical Lyness 5-cycle into a rotation of the plane 2018-10-09T04:27:52.297

0 Tropical varieties correspondence to varieties over a non-archimedean valuation field. 2010-10-19T00:19:24.223

0 Volume in tropical geometry as compared to volume in convex geometry 2013-11-15T13:54:30.003