Grigory Mikhalkin
- Tropical Geometry and its applications
2006/01/03 by Grigory Mikhalkin, Mikhalkin, Grigory · 32 citations
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG
- Enumerative tropical algebraic geometry in R2
2003/12/31 by Grigory Mikhalkin, Mikhalkin, Grigory · 17 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Mathematical Physics (math-ph) #Polynomial and algebraic computation #Symplectic Geometry (math.SG) #math-ph #math.AG #math.CO #math.GT #math.MP #math.SG
- Tropical curves, their Jacobians and Theta functions
2006/12/11 by Grigory Mikhalkin, Mikhalkin, Grigory, Ilia Zharkov +1 · 7 citations
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Polynomial and algebraic computation #math.AG #math.CO
- Floor decompositions of tropical curves : the planar case
2008/12/17 by Erwan Brugallé, Brugalle, Erwan, Grigory Mikhalkin +1 · 10 citations
Computer Science · Mathematics · #14N10 #14P05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
- Brief introduction to tropical geometry
2015/02/20 by Erwan Brugallé, Ilia Itenberg, Brugallé, Erwan +5 · 5 citations
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG #math.CO
- Enumeration of curves via floor diagrams
2007/06/01 by Erwan Brugallé, Brugallé, Erwan, Grigory Mikhalkin +1 · 5 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #Polynomial and algebraic computation #math.AG #math.CO
- Amoebas of algebraic varieties and tropical geometry
2004/02/29 by Grigory Mikhalkin, Mikhalkin, Grigory · 2 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AG #math.GT #math.SG #msc:14-02 #msc:14N35 #msc:14P25
- Amoebas of algebraic varieties
2001/08/31 by Grigory Mikhalkin, Mikhalkin, Grigory · 4 citations
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Complex Variables (math.CV) #FOS: Mathematics #Geometric Topology (math.GT) #Polynomial and algebraic computation #Symplectic Geometry (math.SG) #math.AG #math.CV #math.GT #math.SG
- On Block-Goettsche multiplicities for planar tropical curves
2012/01/02 by Ilia Itenberg, Itenberg, Ilia, Grigory Mikhalkin +1 · 2 citations
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Cryptography and Residue Arithmetic #FOS: Mathematics #Polynomial and algebraic computation #math.AG #math.CO
- Moduli spaces of rational tropical curves
2007/04/06 by Grigory Mikhalkin, Mikhalkin, Grigory · 3 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Topology (math.GT) #Polynomial and algebraic computation #Symplectic Geometry (math.SG) #math.AG #math.CO #math.GT #math.SG
- Decomposition into pairs-of-pants for complex algebraic hypersurfaces
2002/05/01 by Grigory Mikhalkin, Mikhalkin, Grigory · 1 citation
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #math.AG #math.GT #math.SG #msc:14J70
- Introduction to Tropical Geometry (notes from the IMPA lectures in Summer 2007)
2007/09/07 by Grigory Mikhalkin, Mikhalkin, Grigory · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #math.AG #math.GT
- Tropical Open Hurwitz numbers
2010/05/25 by Benoit Bertrand, Bertrand, Benoit, Erwan Brugalle +3 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #math.AG #math.GT
- Tropical eigenwave and intermediate Jacobians
2013/02/01 by Grigory Mikhalkin, Mikhalkin, Grigory, Ilia Zharkov +1 · 1 citation
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Polynomial and algebraic computation #math.AG
- Non-commutative amoebas
2021/02/18 by Grigory Mikhalkin, Mikhalkin, Grigory, Mikhail Shkolnikov +1 · 1 citation
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals
- Wave fronts and caustics in the tropical plane
2023/10/26 by Grigory Mikhalkin, Mikhalkin, Grigory, Mikhail Shkolnikov +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #11A55 #14M25 #14T20 #53E50 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation #Symplectic Geometry (math.SG)