SUNY at Stony Brook MAT 614 Topics in Algebraic Geometry: Tropical Geometry
Fall 2010

Links

Sources you may find useful:

  • Grisha Mikhalkin, Introduction to Tropical Geometry, Notes from the IMPA lectures, summer 2007, arXiv:0709.1049v1 [math.AG]
  • G. Mikhalkin, Tropical geometry and its applications, International Congress of Mathematicians. Vol. II, 827-852, Eur. Math. Soc., Zurich, 2006. arXiv:math.AG/0601041
  • G. Mikhalkin, Enumerative tropical algebraic geometry in R2, J. Amer. Math. Soc. 18 (2005), no. 2, 313-377, see also arXiv: math.AG/0312530.
  • M. Einsiedler, M. Kapranov, D. Lind, Non-archimedean amoebas and tropical varieties, arXiv:math.AG/0408311.
  • G. Mikhalkin, I. Zharkov, Tropical curves, their Jacobians and theta-functions, arXiv:math.AG/0612267.
  • J. Richter-Gebert, B. Sturmfels, Th. Theobald, First steps in tropical geometry, arXiv:math.AG/0306366.
  • Oleg Viro, Dequantization of real algebraic geometry on loga- rithmic paper, Proceedings of the 3d ECM, Barcelona 2000. arXiv:math.AG/0005163.
  • Oleg Viro, Multifields for Tropical Geometry I. Multifields and dequantization arXiv:1006.3034v1 [math.AG]
  • Alain Connes and Caterina Consani, From monoids to hyperstructures: in search of an absolute arithmetic. arXiv:1006.4810v1 [math.AG]
  • Alain Connes and Caterina Consani, The hyperring of adele classes, arXiv:1001.4260 [mathAG,NT].