table of contents
| MORI.X(1) | User Commands | MORI.X(1) |
NAME¶
mori.x, mori-<num>d.x - star triangulations of a polytope P* in NSYNOPSIS¶
mori.x [-<Option-string>] [in-file [out-file]]DESCRIPTION¶
- Mori cone of the corresponding toric ambient spaces intersection rings of
embedded (CY) hypersurfaces
The mori-<num>d.x variant programs, where <num> is one of 4, 5, 6 and 11 work in different dimensions ; mori.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: triangulation and Stanley-Reisner ideal
- -I
- incidence information of the facets (ignoring IPs of facets)
- -m
- Mori generators of the ambient space
- -P
- IP-simplices among points of P* (ignoring IPs of facets)
- -K
- points of P* in Kreuzer polynomial form
- -b
- arithmetic genera and Euler number
- -i
- intersection ring
- -c
- Chern classes of the (CY) hypersurface
- -t
- triple intersection numbers
- -d
- topological information on toric divisors & del Pezzo conditions
- -a
- all of the above except h, f, I and K
- -D
- lattice polytope points of P* as input (default CWS)
- -H
- arbitrary (also non-CY) hypersurface `H = c1*D1 + c2*D2 + ...' input: coefficients `c1 c2 ...'
- -M
- manual input of triangulation
Input¶
- 1) standard: degrees and weights `d1 w11 w12 ... d2 w21 w22 ...'
- 2) alternative (use -D): `d np' or `np d' (d=Dimension, np=#[points]) and (after newline) np*d coordinates
Output¶
as specified by optionsSEE ALSO¶
A complete manual is available here : http://arxiv.org/abs/1205.4147| May 2012 | mori.x 2.1 |