mori-5d.x(1)

star triangulations of a polytope P* in N

Section 1 palp bookworm source

Description

MORI.X

NAME

mori.x, mori-<num>d.x - star triangulations of a polytope P* in N

SYNOPSIS

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 options

SEE ALSO

A complete manual is available here : http://arxiv.org/abs/1205.4147