# mori-4d.x - Man Page

manual page for mori-4d.x 2.11

## Synopsis

**mori-4d.x** [*-<Option-string>*] [*in-file* [*out-file*]]

## Description

This is “mori.x”: star triangulations of a polytope P* in N

- Mori cone of the corresponding toric ambient spaces
intersection rings of embedded (CY) hypersurfaces

### 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])