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Complex algebraic varieties become easy piecewise-linear objects after passing to the so-called tropical limit.
O. Viro, Gluing of plane real algebraic curves and construction of curves of degrees 6 6 and 7 7
1984
Earlier work this paper cites.
I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, Discriminants, resultants, and multidimensional determinants
1994
Earlier work this paper cites.
G.L. Litvinov, V.P. Maslov, The correspondence principle for idempotent calculus and some computer applications
1998
Earlier work this paper cites.
O. Viro, Dequantization of Real Algebraic Geometry on a Logarithmic Paper,
2000
Earlier work this paper cites.
I. Itenberg, V. Kharlamov, E. Shustin, Welschinger invariant and enumeration of real rational curves
2003
Earlier work this paper cites.
G.L. Litvinov, Maslov’s dequantization, idempotent and tropical mathematics: a very brief introduction
2005
Cited alongside, same era.
G. Mikhalkin, Enumerative tropical algebraic geometry in ℝ 2 \mathbb{R}^{2}
2005
Cited alongside, same era.
J.-Y. Welschinger, Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
2005
Cited alongside, same era.
R. Kenyon, A. Okounkov, S. Sheffield, Dimers and Amoebae
2006
Cited alongside, same era.
M. Kapranov, Thermodynamics and the moment map
Cited in the paper.
L.D. Landau, E.M. Lifshitz. Course of Theoretical Physics. Quantum Mechanics: Non-Relativistic Theory
Cited in the paper.
L.D. Landau, E.M. Lifshitz. Course of Theoretical Physics. Statistical Physics, Part 1
Cited in the paper.
E. Brugallé, G. Mikhalkin, Enumeration of curves via floor diagrams
2007
Later among the works it cites.
I. Itenberg, V. Kharlamov, E. Shustin, A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces
2009
Later among the works it cites.
S. Fomin, G. Mikhalkin, Labeled floor diagrams for plane curves
2010
Later among the works it cites.
G. Mikhalkin, Informal discussion: Enumeration of real elliptic curves
2011
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