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author = {Allamigeon, Xavier and Benchimol, Pascal and Gaubert, Stéphane and Joswig, Michael},
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author = {Avis, David and Bremner, David and Seidel, Raimund},
title = {How good are convex hull algorithms?},
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author = {Arzhantsev, Ivan V. and Gaĭfullin, Sergey A.},
title = {Cox rings, semigroups, and automorphisms of affine varieties},
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volume = {201},
number = {1},
pages = {3--24},
year = {2010},
doi = {10.1070/SM2010v201n01ABEH004063}
}
@InProceedings{AGK96,
author = {Amrhein, Beatrice and Gloor, Oliver and Küchlin, Wolfgang},
title = {Walking faster},
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pages = {150--161},
year = {1996},
doi = {10.1007/3-540-61697-7_14},
location = {Karlsruhe, Germany}
}
@Article{AGK97,
author = {Amrhein, Beatrice and Gloor, Oliver and Küchlin, Wolfgang},
title = {On the walk},
journal = {Theoretical Computer Science},
volume = {187},
number = {1},
pages = {179--202},
year = {1997},
doi = {10.1016/s0304-3975(97)00064-9}
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@Article{AHK18,
author = {Adiprasito, Karim and Huh, June and Katz, Eric},
title = {Hodge theory for combinatorial geometries},
mrnumber = {3862944},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {188},
number = {2},
pages = {381--452},
year = {2018},
doi = {10.4007/annals.2018.188.2.1}
}
@Book{AL94,
author = {Adams, William W. and Loustaunau, Philippe},
title = {An Introduction to Gröbner Bases},
series = {Graduate studies in mathematics},
publisher = {American Mathematical Society},
year = {1994},
doi = {10.1090/gsm/003}
}
@Misc{ATLAS,
bibkey = {ATLAS},
author = {Wilson, R. A. and Walsh, P. and Tripp, J. and Suleiman, I. and Parker, R. A. and Norton, S. P. and
Nickerson, S. and Linton, S. and Bray, J. and Abbott, R.},
title = {ATLAS of Finite Group Representations},
howpublished = {Published electronically},
url = {http://atlas.math.rwth-aachen.de/Atlas/v3}
}
@Article{AZ99,
author = {Amenta, Nina and Ziegler, Gunter M},
title = {Deformed products and maximal shadows of polytopes},
journal = {Contemporary Mathematics},
volume = {223},
publisher = {Providence, RI: American Mathematical Society},
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}
@Article{BBS02,
author = {Bayer, M. and Bruening, A. and Stewart, J.},
title = {A Combinatorial Study of Multiplexes and Ordinary Polytopes},
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pages = {49--63},
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doi = {10.1007/s00454-001-0051-x}
}
@Article{BCL21,
author = {Bies, Martin and Cvetič, Mirjam and Liu, Muyang},
title = {Statistics of limit root bundles relevant for exact matter spectra of F-theory MSSMs},
journal = {Phys. Rev. D},
volume = {104},
publisher = {American Physical Society},
pages = {L061903},
year = {2021},
month = sep,
doi = {10.1103/PhysRevD.104.L061903},
issue = {6},
numpages = {8}
}
@Article{BDEPS04,
author = {Berry, Neil and Dubickas, Artūras and Elkies, Noam D. and Poonen, Bjorn and Smyth, Chris},
title = {The conjugate dimension of algebraic numbers},
journal = {Q. J. Math.},
fjournal = {The Quarterly Journal of Mathematics},
volume = {55},
number = {3},
pages = {237--252},
year = {2004},
doi = {10.1093/qjmath/55.3.237}
}
@InCollection{BDLP17,
author = {Böhm, Janko and Decker, Wolfram and Laplagne, Santiago and Pfister, Gerhard},
title = {Local to global algorithms for the Gorenstein adjoint ideal of a curve},
booktitle = {Algorithmic and experimental methods in algebra, geometry, and number theory},
publisher = {Springer, Cham},
pages = {51--96},
year = {2017},
doi = {10.1007/978-3-319-70566-8_3}
}
@InProceedings{BDLP19,
author = {Böhm, Janko and Decker, Wolfram and Laplagne, Santiago and Pfister, Gerhard},
title = {Computing integral bases via localization and Hensel lifting},
booktitle = {MEGA 2019 - International Conference on Effective Methods in Algebraic Geometry},
address = {Madrid, Spain},
year = {2019},
doi = {10.1016/j.jsc.2020.07.007},
archiveprefix = {HAL},
eprint = {hal-02912148}
}
@Article{BDLPSS13,
author = {Böhm, Janko and Decker, Wolfram and Laplagne, Santiago and Pfister, Gerhard and Steenpaß, Andreas
and Steidel, Stefan},
title = {Parallel algorithms for normalization},
journal = {Journal of Symbolic Computation},
volume = {51},
note = {Effective Methods in Algebraic Geometry},
pages = {99--114},
year = {2013},
doi = {10.1016/j.jsc.2012.07.002}
}
@Article{BE23,
author = {Brandhorst, Simon and Elkies, Noam D.},
title = {Equations for a K3 Lehmer map},
mrnumber = {4652575},
journal = {J. Algebraic Geom.},
fjournal = {Journal of Algebraic Geometry},
volume = {32},
number = {4},
pages = {641--675},
year = {2023},
doi = {10.1090/jag/810}
}
@Article{BE91,
author = {Bayer, Dave and Eisenbud, David},
title = {Graph Curves},
journal = {Advances in Mathematics},
volume = {86},
number = {1},
pages = {1--40},
year = {1991},
month = mar,
doi = {10.1016/0001-8708(91)90034-5}
}
@Misc{BEO23,
author = {Besche, Hans Ulrich and Eick, Bettina and O'Brien, Eamonn},
title = {SmallGrp, The GAP Small Groups Library, Version 1.5.3},
note = {GAP package},
year = {2023},
month = may,
url = {https://gap-packages.github.io/smallgrp/}
}
@InProceedings{BES-E-D21,
author = {Berthomieu, Jérémy and Eder, Christian and Safey El Din, Mohab},
title = {Msolve: A Library for Solving Polynomial Systems},
booktitle = {Proceedings of the 2021 on International Symposium on Symbolic and Algebraic Computation},
series = {ISSAC '21},
address = {New York, NY, USA},
publisher = {Association for Computing Machinery},
pages = {51--58},
year = {2021},
doi = {10.1145/3452143.3465545},
location = {Virtual Event, Russian Federation}
}
@Article{BES23,
author = {Backman, Spencer and Eur, Christopher and Simpson, Connor},
title = {Simplicial generation of Chow rings of matroids},
journal = {JEMS},
fjournal = {Journal of the European Mathematical Society},
volume = {26},
number = {11},
pages = {4491--4535},
year = {2023},
month = jun,
doi = {10.4171/jems/1350}
}
@Misc{BG24,
author = {Simon Brandhorst and Víctor González-Alonso},
title = {527 elliptic fibrations on Enriques surfaces},
year = {2024},
eprint = {2408.00306},
archiveprefix = {arXiv},
primaryclass = {math.AG}
}
@Book{BGV03,
author = {Bueso, José Luis and Gómez-Torrecillas, José and Verschoren, Alain},
title = {Algorithmic methods in non-commutative algebra. {Applications} to quantum groups.},
zbl = {1063.16054},
series = {Math. Model.: Theory Appl.},
volume = {17},
publisher = {Dordrecht: Kluwer Academic Publishers},
year = {2003},
fseries = {Mathematical Modelling: Theory and Applications},
language = {English},
zbmath = {1988897}
}
@Book{BH09,
author = {Bruns, Winfried and Herzog, Jürgen},
title = {Cohen-{M}acaulay rings},
series = {Cambridge Studies in Advanced Mathematics},
volume = {39},
note = {2nd edition},
publisher = {Cambridge University Press, Cambridge},
year = {2009}
}
@Article{BH23,
author = {Brandhorst, Simon and Hofmann, Tommy},
title = {Finite subgroups of automorphisms of K3 surfaces},
journal = {Forum of Mathematics, Sigma},
volume = {11},
publisher = {Cambridge University Press, Cambridge},
pages = {e54 1--57},
year = {2023},
doi = {10.1017/fms.2023.50}
}
@Article{BHMPW22,
author = {Braden, Tom and Huh, June and Matherne, Jacob P. and Proudfoot, Nicholas and Wang, Botong},
title = {A semi-small decomposition of the Chow ring of a matroid},
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volume = {409},
pages = {108646},
year = {2022},
month = nov,
doi = {10.1016/j.aim.2022.108646}
}
@Book{BHPV-D-V04,
author = {Barth, Wolf P. and Hulek, Klaus and Peters, Chris A. M. and Van de Ven, Antonius},
title = {Compact complex surfaces},
zbl = {1036.14016},
series = {Ergeb. Math. Grenzgeb., 3. Folge},
volume = {4},
publisher = {Berlin: Springer},
edition = {2nd enlarged ed.},
year = {2004},
doi = {10.1007/978-3-642-57739-0},
fseries = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge},
language = {English},
zbmath = {2008523}
}
@Article{BJRR10,
author = {Blumenhagen, Ralph and Jurke, Benjamin and Rahn, Thorsten and Roschy, Helmut},
title = {Cohomology of line bundles: A computational algorithm},
journal = {Journal of Mathematical Physics},
volume = {51},
number = {10},
publisher = {AIP Publishing},
pages = {103525},
year = {2010},
month = oct,
doi = {10.1063/1.3501132}
}
@Misc{BJRR10*1,
author = {Blumenhagen, Ralph and Jurke, Benjamin and Rahn, Thorsten and Roschy, Helmut},
title = {cohomCalg package},
note = {High-performance line bundle cohomology computation based on BJRR10},
howpublished = {Published electronically on GitHub},
year = {2010},
url = {https://github.com/BenjaminJurke/cohomCalg}
}
@Article{BJRR12,
author = {Blumenhagen, Ralph and Jurke, Benjamin and Rahn, Thorsten and Roschy, Helmut},
title = {Cohomology of line bundles: Applications},
journal = {Journal of Mathematical Physics},
volume = {53},
number = {1},
publisher = {AIP Publishing},
pages = {012302},
year = {2012},
month = jan,
doi = {10.1063/1.3677646}
}
@Article{BJSST07,
author = {Bogart, T. and Jensen, A. N. and Speyer, D. and Sturmfels, B. and Thomas, R. R.},
title = {Computing tropical varieties},
zbl = {1121.14051},
journal = {J. Symb. Comput.},
fjournal = {Journal of Symbolic Computation},
volume = {42},
number = {1-2},
pages = {54--73},
year = {2007},
doi = {10.1016/j.jsc.2006.02.004},
language = {English},
zbmath = {5203512}
}
@Article{BKR20,
author = {Böhm, Janko and Keicher, Simon and Ren, Yue},
title = {Computing {GIT}-fans with symmetry and the {M}ori chamber decomposition of $\overline M_{0,6}$},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {89},
number = {326},
pages = {3003--3021},
year = {2020},
doi = {10.1090/mcom/3546}
}
@Article{BL81,
author = {Billera, Louis J. and Lee, Carl W.},
title = {A proof of the sufficiency of {M}c{M}ullen's conditions for $f$-vectors of simplicial convex
polytopes},
journal = {J. Combin. Theory Ser. A},
volume = {31},
number = {3},
pages = {237--255},
year = {1981},
doi = {10.1016/0097-3165(81)90058-3}
}
@Article{BN07,
author = {Baker, Matthew and Norine, Serguei},
title = {Riemann-{R}och and {A}bel-{J}acobi theory on a finite graph},
mrnumber = {2355607},
journal = {Adv. Math.},
fjournal = {Advances in Mathematics},
volume = {215},
number = {2},
pages = {766--788},
year = {2007},
doi = {10.1016/j.aim.2007.04.012}
}
@Article{BRS23,
author = {Brandhorst, Simon and Rams, Sławomir and Shimada, Ichiro},
title = {On characteristic polynomials of automorphisms of Enriques surfaces},
mrnumber = {4653182},
journal = {Publ. Res. Inst. Math. Sci.},
fjournal = {Publications of the Research Institute for Mathematical Sciences},
volume = {59},
number = {3},
pages = {633--656},
year = {2023},
doi = {10.4171/prims/59-3-7}
}
@Article{BS09,
author = {Banica, Teodor and Speicher, Roland},
title = {Liberation of orthogonal Lie groups},
journal = {Advances in Mathematics},
volume = {222},
number = {4},
pages = {1461--1501},
year = {2009},
doi = {10.1016/j.aim.2009.06.009}
}
@Article{BS22,
author = {Brandhorst, Simon and Shimada, Ichiro},
title = {Automorphism groups of certain Enriques surfaces},
mrnumber = {4498439},
journal = {Found. Comput. Math.},
fjournal = {Foundations of Computational Mathematics. The Journal of the Society for the Foundations of
Computational Mathematics},
volume = {22},
number = {5},
pages = {1463--1512},
year = {2022},
doi = {10.1007/s10208-021-09530-y}
}
@Article{BS22*1,
author = {Brandhorst, Simon and Shimada, Ichiro},
title = {Borcherds' method for Enriques surfaces},
mrnumber = {4389670},
journal = {Michigan Math. J.},
fjournal = {Michigan Mathematical Journal},
volume = {71},
number = {1},
pages = {3--18},
year = {2022},
doi = {10.1307/mmj/20195769}
}
@Misc{BZ23,
author = {Brandhorst, Simon and Zach, Matthias},
title = {Elliptic fibrations on Vinberg's most algebraic K3 surface},
year = {2023},
eprint = {2311.11766},
archiveprefix = {arXiv},
primaryclass = {math.AG}
}
@Book{Ben93,
author = {Benson, David J.},
title = {Polynomial invariants of finite groups},
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author = {Decker, Wolfram and de Jong, Theo},
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type = {doctoralthesis},
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