mybib.bib

% Books 
@book{Maclagan2015,
    author = {Bernd Sturmfels and Diane Maclagan},
    title  = {Introduction to Tropical Geometry},
    year  = {2015},
    publisher = {American Mathematical Society},
}

@book{Smith2000,
    author = {Karen E. Smith and Lauri Kahanp\"{a}\"{a} and Pekka Kek\"{a}l\"{a}inen and William Traves},
    title  = {An Invitation to Algebraic Geometry},
    year  = {2000},
    keywords = {Mathematics - Algebraic Geometry},
    publisher = {Springer-Verlag},
    DOI = {10.1007/978-1-4757-4497-2}
}

@book{Reid1988,
    author = {Miles Reid},
    title  = {Undergraduate Algebraic Geometry},
    year  = {1988},
    keywords = {Mathematics - Algebraic Geometry},
    publisher = {Cambridge University Press},
    DOI = {10.1017/CBO9781139163699}
}

@book{Hartshorne1977,
    author = {Robin Hartshorne},
    title  = {Algebraic Geometry},
    year  = {1977},
    keywords = {Graduate Texts in Mathematics},
    publisher = {Springer-Verlag},
    DOI = {10.1090/S0273-0979-1979-14618-4}
}

@book{Eisenbud2000,
    author = {David Eisenbud and Joe Harris},
    title  = {The Geometry of Schemes},
    year  = {2000},
    keywords = {Mathematics - Algebraic Geometry},
    publisher = {Springer-Verlag},
    DOI = {	10.1007/b97680}
}

@book{Fulton1993,
    author = {William Fulton},
    title  = {Introduction to Toric Varieties},
    year  = {1993},
    keywords = {Mathematics - Algebraic Geometry},
    publisher = {Princeton University Press},
    DOI = {	10.1007/b97680}
}

@book{Hori2003,
    author = {Kentaro Hori and Sheldon Katz and Albrecht Klemm and Rahul Pandharipande and Richard Thomas and Cumrun Vafa and Ravi Vakil and Eric Zaslow},
    title  = {Mirror Symmetry},
    pages = {929},
    series = {Clay Mathematics Monographs},
    volume = {1},
    year  = {2003},
    keywords = {Mathematics - Algebraic Geometry},
    publisher = {American Mathematical Society},
    ISBN = {978-0821829554}
}

@book{Fulton1998,
    author = {William Fulton},
    title  = {Intersection Theory},
    pages = {470},
    year  = {1998},
    keywords = {Mathematics - Algebraic Geometry},
    publisher = {Springer},
    ISBN = {978-0387985497}
}

@book{Eisenbud2016,
    author = {David Eisenbud and Joe Harris},
    title  = {3264 and All That: A Second Course in Algebraic Geometry},
    pages = {603},
    year  = {2016},
    keywords = {Mathematics - Algebraic Geometry},
    publisher = {Cambridge University Press},
    ISBN = {978-1107602724}
}

% Articles
@article{Cavalieri2014,
    author = {Renzo Cavalieri and Simon Hampe and Hannah Markwig and Dhruv Ranganathan},
    title = {Moduli spaces of rational weighted stable curves and tropical geometry},
    journal =  {eprint arXiv:1404.7426},
    keywords = {Mathematics - Algebraic Geometry},
    year =  {2014},
}

@article{Bergman1971,
    author =       "George M. Bergman ",
    title =        "The Logarithmic Limit-set of an Algebraic Variety",
    journal =      "Transactions of the American Mathematical Society",
    volume =       "157",
    number =       "10",
    pages =        "459-469",
    year =         "1971",
    DOI =          "10.1090/S0002-9947-1971-0280489-8 "
}

@article{Bieri1984,
    author = {Robert Bieri and J.R.J. Groves},
    journal = {Journal f�r die reine und angewandte Mathematik},
    keywords = {extension of real valuation; real -dimensional polyhedron;     spherical invariants},
    pages = {168-195},
    title = {The geometry of the set of characters iduced by valuations.},
    url = {http://eudml.org/doc/152602},
    volume = {347},
    year = {1984},
}

@article{Mikhalkin2006,
    author = {Grigory Mikhalkin},
    keywords = {Mathematics - Algebraic Geometry},
    title = {Tropical Geometry and its applications.},
    journal =  {eprint arXiv:math/0601041},
    year = {2006},
}

@article{Diemer2010,
    author = {Colin Diemer},
    keywords = {Mathematics - Algebraic Geometry},
    title = {The Birational Geometry of Tropical Compactification},
    year = {2010},
}

@article{Tevelev2004,
    author = {Jenia Tevelev},
    keywords = {Mathematics - Algebraic Geometry},
    title = {Compactifications of subvarieties of tori},
    year = {2004},
    journal = {eprint arXiv:math/0412329},
}

@article{Baker2015,
    author = {Matthew Baker, Sam Payne, Joseph Rabinoff},
    keywords = {algebraic curves, tropical curves, tropical geometry, faithful tropicalization, extended tropicalization,
    initial degeneration, tropical multiplicities, nonarchimedean geometry, analytification, Berkovich spaces, skeletons,
    well-spacedness},
    title = {Nonarchimedean geometry, topicalization, and metrics on curves},
    year = {2016},
    journal = {Foundation Compositio Mathematica},
}


@article{Payne2014,
    author = {Sam Payne},
    keywords = {homotopy theory, mixed hodge theory of singular varieties,
    simple homotopy type, 
    singularities,
    toric varieties},
    title = {Boundary complexes and weight filtrations},
    year = {2013},
    journal = {Michigan Math},
    volume = {62},
    pages = {293-322},
    URL = {http://projecteuclid.org/euclid.mmj/1370870374}
}

@article{Speyer2003,
    author = {David Speyer and Bernd Sturmfels},
    keywords = {Mathematics - Algebraic Geometry, Mathematics - Combinatorics},
    title = {The tropical Grassmannian},
    year = {2003},
    journal = {eprint arXiv:math/0304218},
    pages = {293-322},
    URL = {http://adsabs.harvard.edu/abs/2003math......4218S}
}

@article{Billera2002,
    author = {Louis J. Billera and Susan P. Holmes and Karen Vogtmann},
    keywords = {phylogenetic treessemi-labeled trees, associahedron CAT($0$) spaceconsensusbootstrap},
    title = {Geometry of the Space of Phylogenetic Trees},
    year = {2002},
    journal = {Advances in Applied Mathematic},
    volume = {29},
    DOI = {https://doi.org/10.1006/aama.2001.0759}
}

@article{Speyer2004,
    author = {David Speyer and Bernd Sturmfels},
    keywords = {Mathematics - Algebraic Geometry},
    title = {Tropical Mathematics},
    year = {2004},
    journal = {eprint: arXiv:math/0408099},
}

@article{Ranganathan2010,
    author = {Dhruv Ranganathan},
    keywords = {Mathematics - Geometry},
    title = {A Gentle Introduction to Grassmannians},
    year = {2010},
    url = {https://www.math.hmc.edu/~ursula/teaching/math189/finalpapers/dhruv.pdf},
}

@article{Hudec2007,
    author = {Drew A. Hudec},
    keywords = {Mathematics - Geometry},
    title = {The Grassmannian as a Projective Variety},
    year = {2007},
    url = {http://www.math.uchicago.edu/~may/VIGRE/VIGRE2007/REUPapers/FINALFULL/Hudec.pdf},
}

@article{Dukkipati2013,
    author = {Ambedkar Dukkipati and Aritra Sen},
    keywords = {Mathematics - Combinatorics, Mathematics - Algebraic Geometry},
    title = {Tropical Grassmannian and Tropical Linear Varieties from Phylogenetic Trees},
    year = {2013},
    journal = {eprint arXiv:1312.0752},
}

@article{Mikhalkin2003,
    author = {Grigory Mikhalkin},
    keywords = {Mathematics - Combinatorics, Mathematics - Algebraic Geometry},
    title = {Counting curves via lattice paths in polygons
Calcul de courbes holomorphes par chemins en polygones},
    year = {2003},
    journal = {Comptes Rendus Mathematique},
    volume = {336},
    issue = {8},
    pages = {629-634}
}

@article{Gathmann2005,
    author = {Andreas Gathmann and Hannah Markwig},
    keywords = {Mathematics - Combinatorics, Mathematics - Algebraic Geometry},
    title = {Kontsevich's formula and the WDVV equations in tropical geometry},
    year = {2005},
    journal = {eprint arXiv:math/0509628},
}

@article{Maclagan2010,
    author = {Angela Gibney, Diane Maclagan},
    keywords = {Mathematics - Combinatorics, Mathematics - Algebraic Geometry},
    title = {Equations for Chow and Hilbert Quotients},
    year = {2010},
    journal = {Journal of Algebra and Number Theory},
}

@article{Kapranov1993,
    author = {Mkkahil M. Kapranov},
    title = {Chow quotient of Grassmannians},
    year = {1993},
    journal = {Advanced Soviet Math},
    volume = {16},
}

@article{Tevelev2007,
    author = {Jenia Tevelev},
    title = {Compactification of Subvarieties of Tori},
    year = {2007},
    journal = {American Journal of Mathematics},
    volume = {129},
    pages = {1087-1104},
}

@article{Hacking2007,
    author = {Paul Hacking and Sean Keel and Jenia Tevelev},
    title = {Stable Pair, Tropical and Log Canonical Compactifications of Moduli Spaces of Del Pezzo Surfaces},
    year = {2007},
    journal = {Invent. Math.},
    volume = {178},
    pages = {173-227},
}

@article{Cueto2011,
    author = {M. A. Cueto},
    title = {Implicit surfaces via geometric tropicalization},
    journal = {arXiv:1105.0509v2},
    year = {2011},
}

@article{Ulirsch2015,
    author = {Martin Ulirsch},
    title = {Tropical geometry of moduli spaces of weighted stable curves},
    journal = {eprint arXiv:1405.6940},
    year = {2015},
}

@article{Feichtner2005,
    author = {Eva Maria Feichtner and Bernd Sturmfels},
    title = {Matroid polytopes, nested sets and Bergman fans},
    journal = {Port. Math},
    year = {2015},
    volume = {62},
    pages = {437 - 468},
}

@article{Ranganathan2012,
    author = {Eva Maria Feichtner and Bernd Sturmfels},
    title = {Gromov–Witten Theory of Blowups of Toric
Threefolds},
    journal = {Claremont Colleges Library},
    year = {2012},
}

@article{Ardila2006,
    author = {Federico Ardila and Carly Klivans},
    title = {The Bergman complex of a matroid and phylogenetic trees},
    journal = {arXiv:math/0311370},
    year = {2006},
}

@article{Francois2013,
    author = {Georges François and Johannes Rau},
    title = {The diagonal of tropical matroid varieties and cycle intersections},
    journal = {Collectanea Mathematica},
    volume = {64},
    issue = {2},
    pages = {185-210},
    year = {2013},
}