---
name: "mori.x"
section: "1"
platform: "linux"
package: "palp"
version: "2.21-1"
release: "Debian 13 (Trixie)"
platforms: ["linux"]
url: "https://new.carta.tech/mori.x"
---

# mori.x(1)

star triangulations of a polytope P\* in N

## 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