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@incollection{Fei05,
	Author = {Eva Maria {Feichtner}},
	Booktitle = {{Combinatorial and Computational Geometry}},
	Date-Added = {2019-05-16 10:51:25 +0300},
	Date-Modified = {2019-05-16 10:51:59 +0300},
	Pages = {333--360},
	Publisher = {Cambridge University Press},
	Title = {{De Concini-Procesi wonderful arrangement models: a discrete geometer's point of view.}},
	Year = {2005}}

@article{AHK18,
	Author = {Adiprasito, K. and Huh, J. and Katz, E.},
	Doi = {10.4007/annals.2018.188.2.1},
	Fjournal = {Annals of Mathematics. Second Series},
	Journal = {Ann. of Math. (2)},
	Mrclass = {05B35 (05E99 14C25 14T05)},
	Mrnumber = {3862944},
	Number = {2},
	Pages = {381--452},
	Title = {Hodge theory for combinatorial geometries},
	Volume = {188},
	Year = {2018},
	Bdsk-Url-1 = {https://doi.org/10.4007/annals.2018.188.2.1}}

@misc{AA17,
	Author = {Ardila, F. and Aguiar, M.},
	Eprint = {1709.07504},
	Eprinttype = {arxiv},
	Title = {Hopf monoids and generalized permutahedra},
	Year = {2017}}

@article{AFR10,
	Author = {Ardila, F. and Fink, A. and Rinc\'{o}n, F.},
	Doi = {10.4153/CJM-2010-064-9},
	Fjournal = {Canadian Journal of Mathematics. Journal Canadien de Math\'{e}matiques},
	Journal = {Canad. J. Math.},
	Mrclass = {05B35 (52B40 52B45)},
	Number = {6},
	Pages = {1228--1245},
	Title = {Valuations for matroid polytope subdivisions},
	Volume = {62},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.4153/CJM-2010-064-9}}

@article{AK06,
	Author = {Ardila, F. and Klivans, C. J.},
	Date-Modified = {2019-05-16 10:44:45 +0300},
	Doi = {10.1016/j.jctb.2005.06.004},
	Journal = {J. Combin. Theory Ser. B},
	Number = {1},
	Pages = {38--49},
	Title = {{The Bergman complex of a matroid and phylogenetic trees}},
	Volume = {96},
	Year = {2006}}

@misc{BES19,
	Author = {Backman, S. and Eur, C. and Simpson, C.},
	Date-Modified = {2019-05-16 10:45:04 +0300},
	Note = {In preparation},
	Title = {Chow rings of matroids, matroid quotients, and beyond},
	Year = {2019}}

@article{Bak18,
	Author = {Baker, M.},
	Date-Modified = {2019-05-16 10:45:49 +0300},
	Doi = {10.1090/bull/1599},
	Journal = {Bull. Amer. Math. Soc. (N.S.)},
	Number = {1},
	Pages = {57--80},
	Title = {{Hodge theory in combinatorics}},
	Volume = {55},
	Year = {2018}}

@book{BGW03,
	Author = {Borovik, A. V. and Gelfand, I. M. and White, N.},
	Date-Modified = {2019-05-16 10:46:16 +0300},
	Doi = {10.1007/978-1-4612-2066-4},
	Number = {216},
	Publisher = {Birkh\"auser Boston, Boston},
	Series = {Progress in Mathematics},
	Title = {Coxeter Matroids},
	Year = {2003},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4612-2066-4}}

@article{Che19,
	Author = {Chen, J.},
	Doi = {10.2140/jsag.2019.9.19},
	Fjournal = {Journal of Software for Algebra and Geometry},
	Issn = {1948-7916},
	Journal = {J. Softw. Algebra Geom.},
	Mrclass = {05B35 (05C31 52B40)},
	Pages = {19--27},
	Title = {Matroids: a Macaulay2 package},
	Volume = {9},
	Year = {2019},
	Bdsk-Url-1 = {https://doi.org/10.2140/jsag.2019.9.19}}

@article{CLP15,
	Author = {Clancy, J. and Leake, T. and Payne, S.},
	Date-Modified = {2019-05-16 10:47:02 +0300},
	Doi = {10.1080/10586458.2014.917443},
	Journal = {Exp. Math.},
	Number = {1},
	Pages = {1--7},
	Title = {{A note on Jacobians, Tutte polynomials, and two-variable zeta functions of graphs}},
	Volume = {24},
	Year = {2015}}

@book{CLS11,
	Author = {Cox, D. A. and Little, J. B. and Schenck, H. K.},
	Date-Modified = {2019-05-16 10:47:21 +0300},
	Number = {124},
	Publisher = {American Mathematical Society, Providence, RI},
	Series = {Graduate Studies in Mathematics},
	Title = {{Toric Varieties}},
	Year = {2011}}

@article{DCP95,
	Author = {De Concini, C. and Procesi, C.},
	Date-Modified = {2019-05-16 10:48:20 +0300},
	Doi = {10.1007/bf01589496},
	Journal = {Selecta Math. (N. S.)},
	Number = {3},
	Pages = {459--494},
	Title = {{Wonderful models of subspace arrangements}},
	Volume = {1},
	Year = {1995}}

@article{ELM+05,
	Author = {Ein, L. and Lazarsfeld, R. and Mustata, M. and Nakamaye, M. and Popa, M.},
	Date-Modified = {2019-05-16 10:49:43 +0300},
	Doi = {10.4310/pamq.2005.v1.n2.a8},
	Journal = {Pure Appl. Math. Q.},
	Number = {2, Special Issue: In memory of Armand Borel.},
	Pages = {379--403},
	Title = {{Asymptotic invariants of line bundles}},
	Volume = {1},
	Year = {2005}}

@book{EH16,
	Author = {Eisenbud, D. and Harris, J.},
	Date-Modified = {2019-05-16 10:50:30 +0300},
	Publisher = {Cambridge University Press, Cambridge},
	Title = {3264 and All That---A Second Course in Algebraic Geometry},
	Year = {2016}}

@misc{Eur18,
	Author = {Eur, C.},
	Eprint = {1803.07103},
	Eprinttype = {arxiv},
	Title = {Divisors on matroid and their volumes},
	Year = {2018}}

@article{FY04,
	Author = {Feichtner, E. M. and Yuzvinsky, S.},
	Doi = {10.1007/s00222-003-0327-2},
	Fjournal = {Inventiones Mathematicae},
	Issn = {0020-9910},
	Journal = {Invent. Math.},
	Mrclass = {14C15 (14M25)},
	Number = {3},
	Pages = {515--536},
	Title = {Chow rings of toric varieties defined by atomic lattices},
	Volume = {155},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00222-003-0327-2}}

@article{GGMS87,
	Author = {Gelfand, I. M. and Goresky, R. M. and MacPherson, R. D. and Serganova, V. V.},
	Doi = {10.1016/0001-8708(87)90059-4},
	Journal = {Adv. in Math.},
	Number = {3},
	Pages = {301--316},
	Title = {{Combinatorial geometries, convex polyhedra, and Schubert cells}},
	Volume = {63},
	Year = {1987},
	Bdsk-Url-1 = {https://doi.org/10.1016/0001-8708(87)90059-4}}

@article{GK16,
	Author = {Gonz\'alez, J. L. and Karu, K.},
	Date-Modified = {2019-05-16 10:53:12 +0300},
	Doi = {10.1112/s0010437x15007745},
	Journal = {Compos. Math.},
	Number = {5},
	Pages = {984--996},
	Title = {{Some non-finitely generated Cox rings}},
	Volume = {152},
	Year = {2016}}

@article{Huh12,
	Author = {Huh, J.},
	Date-Modified = {2019-05-16 10:53:58 +0300},
	Doi = {10.1090/s0894-0347-2012-00731-0},
	Journal = {J. Amer. Math. Soc.},
	Number = {3},
	Pages = {907--927},
	Title = {{Milnor numbers of projective hypersurfaces and the chromatic polynomial of graphs}},
	Volume = {25},
	Year = {2012}}

@article{HK12,
	Author = {Huh, J. and Katz, E.},
	Doi = {10.1007/s00208-011-0777-6},
	Fjournal = {Mathematische Annalen},
	Issn = {0025-5831},
	Journal = {Math. Ann.},
	Mrclass = {05B35},
	Number = {3},
	Pages = {1103--1116},
	Title = {Log-concavity of characteristic polynomials and the Bergman fan of matroids},
	Volume = {354},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00208-011-0777-6}}

@article{KK12,
	Author = {Kaveh, K. and Khovanskii, A. G.},
	Date-Modified = {2019-05-16 10:54:47 +0300},
	Doi = {10.4007/annals.2012.176.2.5},
	Journal = {Ann. of Math. (2)},
	Number = {2},
	Pages = {925--978},
	Title = {{Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory}},
	Volume = {176},
	Year = {2012}}

@article{LM09,
	Author = {Lazarsfeld, R. and Mustata, M.},
	Date-Modified = {2019-05-16 10:55:54 +0300},
	Doi = {10.24033/asens.2109},
	Journal = {Ann. Sci. \'Ec. Norm. Sup\'er. (4)},
	Number = {5},
	Pages = {783--835},
	Title = {{Convex bodies associated to linear series}},
	Volume = {42},
	Year = {2009}}

@book{MS15,
	Author = {Maclagan, D. and Sturmfels, B.},
	Date-Modified = {2019-05-16 10:56:13 +0300},
	Number = {161},
	Publisher = {American Mathematical Society, Providence, RI},
	Series = {Graduate Studies in Mathematics},
	Title = {{Introduction to Tropical Geometry}},
	Year = {2015}}

@book{Oxl11,
	Author = {Oxley, J.},
	Date-Modified = {2019-05-16 10:56:35 +0300},
	Edition = {2},
	Number = {21},
	Publisher = {Oxford University Press, Oxford},
	Series = {Oxford Graduate Texts in Mathematics},
	Title = {{Matroid Theory}},
	Year = {2011}}

@article{Pos09,
	Author = {Postnikov, A.},
	Date-Modified = {2019-05-16 10:57:47 +0300},
	Doi = {10.1093/imrn/rnn153},
	Journal = {Int. Math. Res. Not. IMRN},
	Number = {6},
	Pages = {1026--1106},
	Title = {{Permutohedra, associahedra, and beyond}},
	Year = {2009}}

@book{Sta12,
	Author = {Stanley, R. P.},
	Date-Modified = {2019-05-16 10:57:22 +0300},
	Edition = {2},
	Number = {49},
	Publisher = {Cambridge University Press, Cambridge},
	Series = {Cambridge Studies in Advanced Mathematics},
	Title = {{Enumerative Combinatorics. Volume 1}},
	Year = {2012}}