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This article provides a complete user's guide to version 2.1 of the toric geometry package PALP by Maximilian Kreuzer and others.
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M. Kreuzer and H. Skarke, “On the classification of reflexive polyhedra,” Commun.Math.Phys
1997
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A. Avram, M. Kreuzer, M. Mandelberg, and H. Skarke, “Searching for K3 fibrations,” Nucl.Phys
1997
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A. Avram, M. Kreuzer, M. Mandelberg, and H. Skarke, “The Web of Calabi-Yau hypersurfaces in toric varieties,” Nucl.Phys
1997
Cited alongside, same era.
M. Kreuzer and H. Skarke, “Calabi-Yau four folds and toric fibrations,” J.Geom.Phys
1998
Cited alongside, same era.
M. Kreuzer and H. Skarke, “Classification of reflexive polyhedra in three-dimensions,” Adv.Theor.Math.Phys
M. Kreuzer and H. Skarke, “PALP: A Package for analyzing lattice polytopes with applications to toric geometry,” Comput.Phys.Commun
2004
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A. Klemm, M. Kreuzer, E. Riegler, and E. Scheidegger, “Topological string amplitudes, complete intersection Calabi-Yau spaces and threshold corrections,” JHEP
2005
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PhD thesis, Universität Tübingen, 2005
B. Nill, Gorenstein toric Fano varieties · 2005
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http://hep.itp.tuwien.ac.at/~kreuzer/CY/math/0702890/
M. Kreuzer and B. Nill, Classification of toric Fano 5-folds (data supplement) · 2007
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2007
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1998
Cited alongside, same era.
H. Skarke, “String dualities and toric geometry: an introduction,” Chaos Solitons Fractals
1999
Cited alongside, same era.
M. Kreuzer and H. Skarke, “Complete classification of reflexive polyhedra in four-dimensions,” Adv.Theor.Math.Phys
2002
Cited alongside, same era.
World Sci. Publ., River Edge, NJ, 2002
J. Rambau, “TOPCOM: triangulations of point configurations and oriented matroids,” in Mathematical software (Beijing, 2002) · 2002
Cited alongside, same era.
M. Kreuzer and H. Skarke, “Reflexive polyhedra, weights and toric Calabi-Yau fibrations,” Rev.Math.Phys
2002
Cited alongside, same era.
http://hep.itp.tuwien.ac.at/~kreuzer/CY/math/Fano/Fano.html
V. Batyrev, B. Nill, and M. Kreuzer, Fano hypersurfaces with conifold singularities (data supplement) · 2002
Cited alongside, same era.
http://hep.itp.tuwien.ac.at/~kreuzer/CY/math/Fano/Fano.html
M. Kreuzer, Reflexive2x.4d.gz (data file) · 2002
Cited alongside, same era.
http://hep.itp.tuwien.ac.at/~kreuzer/CY/math/0802/
V. Batyrev and M. Kreuzer, Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions (data supplement) · 2008
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Amer. Math. Soc., Providence, RI, 2008
V. Batyrev and B. Nill, “Combinatorial aspects of mirror symmetry,” in Integer points in polyhedra—geometry, number theory, representation theory, algebra, optimization, statistics · 2008
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M. Kreuzer and B. Nill, “Classification of toric Fano 5-folds,” Adv. Geom
2009
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M. Kreuzer, “Toric geometry and Calabi-Yau compactifications,” Ukr.J.Phys
2010
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2010
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American Mathematical Society, Providence, RI, 2011
D. A. Cox, J. B. Little, and H. K. Schenck, Toric varieties · 2011
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2011
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The Sage Development Team, 2012
W. Stein et al · 2012
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