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@misc{huh2019logarithmic,
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@Article{BGG_NON_NOETHERIAN_DIFF,
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@Book{PALAMODOV,
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@Article{TRUNG_VERMA_SURVEY,
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@Article{TRUNG_REDUCTIONEXPONENT,
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@Book{HERZOG_HIBI_MONOMIALS,
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  volume    = {260},
  series    = {Graduate Texts in Mathematics},
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@Book{EISENBUD_HARRIS_SCHEMES,
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@Article{Kleiman_geom_mult,
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  author     = {G\"{o}rtz, Ulrich and Wedhorn, Torsten},
  series     = {Advanced Lectures in Mathematics},
  isbn       = {978-3-8348-0676-5},
  note       = {Schemes with examples and exercises},
  doi        = {10.1007/978-3-8348-9722-0},
  mrclass    = {14-01},
  mrreviewer = {C\'{i}cero Carvalho},
  pages      = {viii+615},
  url        = {https://doi.org/10.1007/978-3-8348-9722-0},
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@Book{HARRIS,
  title     = {Algebraic geometry},
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  author    = {Harris, Joe},
  volume    = {133},
  series    = {Graduate Texts in Mathematics},
  note      = {A first course, Corrected reprint of the 1992 original},
  pages     = {xx+328},
}

@Book{DOLGACHEV,
  title     = {Classical algebraic geometry},
  publisher = {Cambridge University Press, Cambridge},
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@Article{SPECIALIZATION_RAT_MAPS,
  author  = {Cid-Ruiz, Yairon and Simis, Aron},
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@Article{JAYANATHAN_VERMA,
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  year     = {2002},
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@Article{MULT_SAT_PERF_HT_2,
  author        = {{Cid-Ruiz}, Yairon},
  title         = {Multiplicity of the saturated special fiber ring of height two perfect ideals},
  journal       = {to appear in Proc. Amer. Math. Soc.},
  year          = {2018},
  note          = {1807.03189},
  archiveprefix = {arXiv},
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@Article{MULT_GOR_HT_3,
  author  = {Cid-Ruiz, Yairon and Mukundan, Vivek},
  title   = {Multiplicity of the saturated special fiber ring of height three Gorenstein ideals},
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  year    = {2019},
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@Article{BuchsbaumEisenbud,
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@Article{EXPONENTIAL_VARIETIES,
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@Article{MIXED_MULT,
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  note    = {to appear in \textit{J. Algebra}},
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@article{LORENTZ,
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@Book{JOUANOLOU_BERTINI,
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  year      = {1979},
  author    = {Jouanolou, Jean-Pierre},
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@Article{BRODMANN_RUNG,
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@Book{EWALD,
  title     = {Combinatorial convexity and algebraic geometry},
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  volume    = {168},
  series    = {Graduate Texts in Mathematics},
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@Book{LAZARSFELD,
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  publisher = {Springer-Verlag, Berlin},
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  author    = {Lazarsfeld, Robert},
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  series    = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics]},
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@Book{FULTON,
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@Article{SOPRUNOV-BIHAN,
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@Book{COX_TORIC,
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@Article{AXIOM_LOST_RECENT,
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@Article{AXIOM_LOST,
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@Article{NONALGEBRAIC,
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@InProceedings{INGLETON,
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  booktitle = {Combinatorial {M}athematics and its {A}pplications ({P}roc. {C}onf., {O}xford, 1969)},
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@Article{BINGLIN,
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@Book{SCHNEIDER,
  title     = {Convex bodies: the {B}runn-{M}inkowski theory},
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  author    = {Schneider, Rolf},
  volume    = {151},
  series    = {Encyclopedia of Mathematics and its Applications},
  edition   = {expanded},
  pages     = {xxii+736},
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@Article{YONG,
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@Article{FINK,
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@Book{OXLEY,
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  author    = {Oxley, James G.},
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@Book{FULTON_TABLEAUX,
  title     = {Young tableaux},
  publisher = {Cambridge University Press, Cambridge},
  year      = {1997},
  author    = {Fulton, William},
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  series    = {London Mathematical Society Student Texts},
  note      = {With applications to representation theory and geometry},
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@article{MONKS,
	Author = {Cavalieri, Renzo and Gillespie,Maria and Monin,Leonid},
	eprint = {1912.12343},
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	Title = {Projective Embeddings of $\overline{M}_{0,n}$ and Parking Functions},
	Year = {2020}}

@Article{KEEL_TEVELEV,
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@Article{PURBHOO_SOTTILE,
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@Article{,
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@Article{KNUTSON_MILLER,
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@Article{TRUNG_VERMA_MIXED_VOL,
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  year     = {2007},
  volume   = {359},
  number   = {10},
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@InCollection{BRION,
  author    = {Brion, Michel},
  title     = {Lectures on the geometry of flag varieties},
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  year      = {2005},
  series    = {Trends Math.},
  pages     = {33--85},
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@Article{michalek2020maximum,
  author  = {Micha{\l}ek, Mateusz and Monin, Leonid and Wi{\'s}niewski, Jaros{\l}aw},
  title   = {Maximum likelihood degree and space of orbits of a {C}* action},
  eprint  = {2004.07735},
  eprinttype = {arXiv},
  year    = {2020},
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@InCollection{YAN,
  author    = {Yan, Catherine H.},
  title     = {Parking functions},
  booktitle = {Handbook of enumerative combinatorics},
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  year      = {2015},
  series    = {Discrete Math. Appl. (Boca Raton)},
  pages     = {835--893},
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@book{STANLEY,
	Address = {Boston},
	Author = {Stanley, R.P.},
	Edition = {2.},
	Publisher = {Birkh{\"a}user},
	Title = {Combinatorics and Commutative Algebra},
	Year = {1996}}
	
	
@book {SCHNEIDER-MR,
    AUTHOR = {Schneider, Rolf},
     TITLE = {Convex bodies: the {B}runn-{M}inkowski theory},
    SERIES = {Encyclopedia of Mathematics and its Applications},
    VOLUME = {151},
   EDITION = {expanded edition},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {2014},
     PAGES = {xxii+736},
      ISBN = {978-1-107-60101-7},
   MRCLASS = {52-02 (52A20 52A39)},
  MRNUMBER = {3155183},
MRREVIEWER = {Andrea Colesanti},
}

@Book{ZIEGLER,
  title     = {Lectures on polytopes},
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  author    = {Ziegler, G\"{u}nter M.},
  volume    = {152},
  series    = {Graduate Texts in Mathematics},
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@Book{MUROTA,
  title     = {Discrete convex analysis},
  publisher = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA},
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  author    = {Murota, Kazuo},
  series    = {SIAM Monographs on Discrete Mathematics and Applications},
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@Book{SCHRIJVER,
  title     = {Combinatorial optimization. {P}olyhedra and efficiency. {V}ol. {B}},
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  year      = {2003},
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  volume    = {24},
  series    = {Algorithms and Combinatorics},
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@inproceedings {EDMONDS,
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     TITLE = {Submodular functions, matroids, and certain polyhedra},
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     PAGES = {69--87},
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      YEAR = {1970},
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@Article{POSTNIKOV,
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  number  = {6},
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@InCollection{LOVASZ,
  author    = {Lov\'{a}sz, L.},
  title     = {Submodular functions and convexity},
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  year      = {1983},
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@Article{CONCA_DENEGRI_GORLA,
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  journal  = {J. Comb. Algebra},
  year     = {2018},
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  fjournal = {Journal of Combinatorial Algebra},
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@article{NESTED,
    author = {Castillo, Federico and Liu, Fu},
    title = "{Deformation Cones of Nested Braid Fans}",
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    url = {https://doi.org/10.1093/imrn/rnaa090},
    note = {rnaa090},
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@Article{YU,
  author   = {Mohammadi, Fatemeh and Uhler, Caroline and Wang, Charles and Yu, Josephine},
  title    = {Generalized permutohedra from probabilistic graphical models},
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  year     = {2018},
  volume   = {32},
  number   = {1},
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  fjournal = {SIAM Journal on Discrete Mathematics},
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@Article{FACES,
  author   = {Postnikov, Alex and Reiner, Victor and Williams, Lauren},
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  volume   = {13},
  pages    = {207--273},
  fjournal = {Documenta Mathematica},
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@Comment{jabref-meta: databaseType:bibtex;}