POLY.X
Section: User Commands (1)
Updated: May 2012
Index
Return to Main Contents
NAME
poly.x, poly-<num>d.x - computes data of a polytope
SYNOPSIS
poly.x
[-<Option-string>] [in-file [out-file]]
DESCRIPTION
Computes data of a polytope P
The poly-<num>d.x variant programs, where <num> is one of 4, 5, 6 and 11
work in different dimensions ; poly.x defaults to dimension 6.
Options (concatenate any number of them into <Option-string>):
-
- h print this information
-
-
- f use as filter
-
-
- g general output ; for P reflexive: numbers of (dual) points/vertices, Hodge numbers and if P is not reflexive: numbers of points, vertices, equations
-
p points of P
-
-
- v vertices of P
-
-
- e equations of P/vertices of P-dual
-
-
- m pairing matrix between vertices and equations
-
-
- d points of P-dual (only if P reflexive)
-
-
- a all of the above except h,f
-
-
- l LG-`Hodge numbers' from single weight input
-
-
- r ignore non-reflexive input
-
-
- D dual polytope as input (ref only)
-
-
- n do not complete polytope or calculate Hodge numbers
-
-
- i incidence information
-
-
- s check for span property (only if P from CWS)
-
-
- I check for IP property
-
-
- S number of symmetries
-
-
- T upper triangular form
-
-
- N normal form
-
-
- t traced normal form computation
-
-
- V IP simplices among vertices of P*
-
-
- P IP simplices among points of P* (with 1<=codim<=# when # is set)
-
-
- Z lattice quotients for IP simplices
-
-
# #=1,2,3 fibers spanned by IP simplices with codim<=#
-
-
## ##=11,22,33,(12,23): all (fibered) fibers with specified codim(s)
- when combined: ### = (##)#
-
-
- A affine normal form
-
-
- B Barycenter and lattice volume [# ... points at deg #]
-
-
- F print all facets
-
-
- G Gorenstein: divisible by I>1
-
-
- L like 'l' with Hodge data for twisted sectors
-
-
- U simplicial facets in N-lattice
-
-
- U1 Fano (simplicial and unimodular facets in N-lattice)
-
-
- U5 5d fano from reflexive 4d projections (M lattice)
-
-
- C1 conifold CY (unimodular or square 2-faces)
-
-
- C2 conifold FANO (divisible by 2 & basic 2 faces)
-
-
- E symmetries related to Einstein-Kaehler Metrics
Input
degrees and weights `d1 w11 w12 ... d2 w21 w22 ...'
or `d np' or `np d' (d=Dimension, np=#[points]) and
(after newline) np*d coordinates
Output
as specified by options
SEE ALSO
A complete manual is available here : http://arxiv.org/abs/1205.4147
Index
- NAME
-
- SYNOPSIS
-
- DESCRIPTION
-
- Options (concatenate any number of them into <Option-string>):
-
- Input
-
- Output
-
- SEE ALSO
-
This document was created by
man2html,
using the manual pages.
Time: 16:47:05 GMT, April 27, 2024