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2 result(s) for "polymake system"
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polymake and Lattice Polytopes
polymake and Lattice Polytopes
by Paffenholz, Andreas , Joswig, Michael , Müller, Benjamin in [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] , [math.math-co] mathematics [math]/combinatorics [math.co] , Combinatorics
2009
The$\\mathtt{polymake}$software system deals with convex polytopes and related objects from geometric combinatorics. This note reports on a new implementation of a subclass for lattice polytopes. The features displayed are enabled by recent changes to the$\\mathtt{polymake}$core, which will be discussed briefly.
Journal Article
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On the factor alpha in Peyre’s constant
On the factor alpha in Peyre’s constant
by Jahnel, Jörg , Derenthal, Ulrich , Elsenhans, Andreas-Stephan in Algebra , Computer memory , Mathematical constants
2014
For an arbitrary del Pezzo surface SS, we compute α(S)\\alpha (S), which is the volume of a certain polytope in the dual of the effective cone of SS, using magma and polymake. The constant α(S)\\alpha (S) appears in Peyre’s conjecture for the asymptotic formula for the number of rational points of bounded height on SS over number fields.
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