SYNOPSIS

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