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references.bib
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references.bib
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@unpublished{smoothness_test,
author={Böhm, Janko and Decker, Wolfram and Frühbis-Krüger, Anne and Pfreundt, Franz-Josef and Rahn, Mirko and Ristau, Lukas},
title={Determining smoothness of algebraic varieties using a massively parallel approach},
note={In preparation}
}
@book{hartshorne,
series={Graduate Texts in Mathematics},
title={Algebraic Geometry},
publisher={Springer},
author={Hartshorne, Robin},
address={New York},
year={1977},
volume = {52},
doi = {10.1007/978-1-4757-3849-0}
}
@article{cox_ring_of_msix,
author = "Castravet, Ana-Maria",
doi = "10.1090/S0002-9947-09-04641-8 ",
journal = "Transactions of the American Mathematical Society",
pages = "3851--3878",
title = "The Cox ring of $\overline{M}_{0,6}$",
volume = "361",
year = "2009"
}
@phdthesis{bernal,
author = {Bernal Guillén, Martha María},
title = {Relations in the Cox Ring of $\overline{M}_{0,6}$},
school = {University of Warwick},
year = {2012},
address = {Warwick}
}
@inbook{cox_ring_del_pezzo_surface,
author = {Batyrev, Victor V. and Popov, Oleg N.},
editor = {Poonen, Bjorn and Tschinkel, Yuri},
title = {The Cox Ring of a Del Pezzo Surface},
bookTitle = {Arithmetic of Higher-Dimensional Algebraic Varieties},
year = {2004},
publisher = {Birkhäuser Boston},
address = {Boston, MA},
pages = {85--103},
isbn = {978-0-8176-8170-8},
doi = {10.1007/978-0-8176-8170-8_5}
}
@inbook{stable_npointed_curves,
title = {Stable n-pointed Curves},
bookTitle = {An Invitation to Quantum Cohomology: Kontsevich's Formula for Rational Plane Curves},
year = {2007},
publisher = {Birkhäuser Boston},
address = {Boston, MA},
pages = {21--45},
isbn = {978-0-8176-4495-6},
doi={10.1007/978-0-8176-4495-6_3}
}
@article{curves_of_a_given_genus,
author = {Deligne, Pierre and Mumford, David},
title = {The irreducibility of the space of curves of a given genus},
journal= {Publications Math{\'e}matiques de l'Institut des Hautes {\'E}tudes Scientifiques},
year = {1969},
volume = {36},
pages = {75--109},
issn = {1618-1913},
doi = {10.1007/BF02684599},
}
@book{cox_rings,
series={Cambridge Studies in Advanced Mathematics},
title={Cox rings},
publisher={Cambridge University Press},
author={Arzhantsev, Ivan and Derenthal, Ulrich and Hausen, Jürgen and Laface, Antonio},
year={2014},
volume = {144},
}
@book{linear_algebraic_groups,
series={Graduate Texts in Mathematics},
title={Linear Algebraic Groups},
publisher={Springer},
address={New York},
author={Humphreys, James E.},
year={1975},
volume = {21},
doi = "10.1007/978-1-4684-9443-3"
}
@article{rationality_questiongs_algebraic_groups,
author="Rosenlicht, Maxwell",
title="Some rationality questions on algebraic groups",
journal="Annali di Matematica Pura ed Applicata",
year="1957",
volume="43",
number="1",
pages="25--50",
issn="1618-1891",
doi="10.1007/BF02411903",
}
@article{git_via_cox_rings,
title = "Geometric invariant theory via Cox rings",
journal = "Journal of Pure and Applied Algebra",
volume = "213",
number = "1",
pages = "154--172",
year = "2009",
issn = "0022-4049",
doi = "10.1016/j.jpaa.2008.06.005",
author = "Arzhantsev, Ivan V. and Hausen, Jürgen"
}
@article{git_equivalence,
author = "Berchtold, Florian and Hausen, Jürgen",
doi = "10.1307/mmj/1163789912",
fjournal = "The Michigan Mathematical Journal",
journal = "Michigan Math. J.",
month = "11",
number = "3",
pages = "483--516",
publisher = "University of Michigan, Department of Mathematics",
title = "GIT Equivalence beyond the Ample Cone",
volume = "54",
year = "2006"
}
@book{git,
series={Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge},
title={Geometric Invariant Theory},
publisher={Springer-Verlag Berlin Heidelberg},
author={Mumford, David and Fogarty, John and Kirwan, Frances},
year={1994},
volume = {34},
edition ={3}
}
@book{lectures_invariant_theory,
series={London Mathematical Society Lecture Note Series},
title={Lectures on Invariant Theory},
doi={10.1017/CBO9780511615436},
publisher={Cambridge University Press},
author={Dolgachev, Igor},
year={2003},
volume = {296}
}
@book{cls,
author = {Cox, David and Little, John and Schenck, Henry},
title = {Toric Varieties},
publisher = {American Mathematical Society},
series = {Graduate studies in Mathematics},
volume = {124},
year = {2011},
isbn = {978-0-8218-4819-7}
}
@book{sturmfels,
author = {Sturmfels, Bernd},
title = {Gröbner Bases and Convex Polytopes},
publisher = {American Mathematical Society},
series = {University Lecture Series},
volume = {8},
year = {1996},
doi = {10.1090/ulect/008}
}
@article{tropical_varities,
author = "T. Bogart and A.N. Jensen and D. Speyer and B. Sturmfels and R.R. Thomas",
title = {Computing tropical varieties},
journal = {Journal of Symbolic Computation},
volume = {42},
number = {1},
pages = {54--73},
year = {2007},
note = {Effective Methods in Algebraic Geometry (MEGA 2005)},
issn = {0747-7171},
doi = {10.1016/j.jsc.2006.02.004},
}
@article{coordination_language,
author = {Gelernter, David and Carriero, Nicholas},
title = {Coordination Languages and Their Significance},
journal = {Commun. ACM},
volume = {35},
number = {2},
month = feb,
year = {1992},
issn = {0001-0782},
pages = {96--107},
doi = {10.1145/129630.376083},
publisher = {ACM},
address = {New York, NY, USA},
}
@phdthesis{petri,
author = {Petri, Carl Adam},
title = {Kommunikation mit Automaten},
school = {Institut für Angewandte Mathematik der Universität Bonn},
year = {1962},
}
@inbook{petri_net_wms,
author = {van der Aalst, W. M. P.},
editor = {Wakayama, Toshiro and Kannapan, Srikanth and Khoong, Chan Meng and Navathe, Shamkant and Yates, JoAnne},
title = {Three Good Reasons for Using a Petri-Net-Based Workflow Management System},
booktitle = {Information and Process Integration in Enterprises: Rethinking Documents},
year = {1998},
publisher = {Springer US},
address = {Boston, MA},
pages = {161--182},
isbn = {978-1-4615-5499-8},
doi = {10.1007/978-1-4615-5499-8_10},
}
@online{slurm,
title = {\slurm},
url = {https://slurm.schedmd.com/},
urldate = {2017-12-17}
}
@online{gap,
title = {\gap},
url = {http://www.gap-system.org/},
urldate = {2017-12-17}
}
@online{singular,
title = {\singular},
url = {https://www.singular.uni-kl.de/},
note ={Computer algebra system},
urldate = {2017-12-17}
}
@online{gtest,
title = {\gtest{} -- A \cplusplus{} test framework},
url = {https://github.com/google/googletest},
urldate = {2017-12-17}
}
@online{beegfs,
title = {\beegfs{}},
url = {https://www.beegfs.io/},
urldate = {2017-12-17}
}
@article{gitfan,
author = {Keicher, Simon},
title = {Computing the GIT-fan},
journal = {International Journal of Algebra and Computation},
volume = {22},
number = {07},
year = {2012},
doi = {10.1142/S0218196712500646}
}
@ARTICLE{on_blowing_up_the_weighted_projective_plane,
author = {Hausen, Jürgen and Keicher, Simon and Laface, Antonio},
title = "{On blowing up the weighted projective plane}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1608.04542},
primaryClass = "math.AG",
keywords = {Mathematics - Algebraic Geometry, 14M25},
year = 2016,
month = aug,
adsurl = {http://adsabs.harvard.edu/abs/2016arXiv160804542H},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{gitfan_symmetry,
author = {{Boehm}, J. and {Keicher}, S. and {Ren}, Y.},
title = "{Computing GIT-fans with symmetry and the Mori chamber decomposition of \msix{}}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1603.09241v2},
primaryClass = "math.AG",
keywords = {Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, Mathematics - Combinatorics, 14L24 (Primary), 13A50, 14Q99, 13P10, 68W10 (Secondary)},
year = 2016,
month = mar,
adsurl = {http://adsabs.harvard.edu/abs/2016arXiv160309241B},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@online{gitfanlib,
author = {Böhm, Janko and Decker, Wolfram and Keicher, Simon and Ren, You},
title = {gitfan.lib -- A Singular library for computing the GIT fan},
year = 2016,
url = {https://github.com/Singular/Sources},
urldate = {2017-12-17}
}
@online{gpispace,
title = {\gpispace},
url = {http://www.gpi-space.de/},
urldate = {2017-12-17}
}
@online{gpi,
title = {\textsc{GPI}},
url = {http://www.gpi-site.com/gpi2/},
urldate = {2017-12-17}
}
@inbook{cp_nets,
author = {Jensen, Kurt},
editor = {Brauer, W. and Reisig, W. and Rozenberg, G.},
title = {Coloured Petri nets},
booktitle = {Petri Nets: Central Models and Their Properties},
series = {Lecture Notes in Computer Science},
vol = {254},
year = {1987},
publisher = {Springer Berlin Heidelberg},
pages = {248--299},
isbn = {978-3-540-47919-2},
doi = {10.1007/BFb0046842},
}
@article{chord,
author = {Stoica, Ion and Morris, Robert and Karger, David and Kaashoek, M. Frans and Balakrishnan, Hari},
title = {Chord: A Scalable Peer-to-peer Lookup Service for Internet Applications},
journal = {SIGCOMM Comput. Commun. Rev.},
issue_date = {October 2001},
volume = {31},
number = {4},
month = aug,
year = {2001},
issn = {0146-4833},
pages = {149--160},
numpages = {12},
doi = {10.1145/964723.383071},
acmid = {383071},
publisher = {ACM},
address = {New York, NY, USA},
}