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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

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