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

# nef.x(1)

compute Hodge numbers of nef-partitions

## NAME

nef.x, nef-\<num\>d.x - compute Hodge numbers of nef-partitions

## SYNOPSIS

**nef.x** *\<Options\>*

## DESCRIPTION

The nef-\<num\>d.x variant programs, where \<num\> is one of 4, 5, 6 and 11 work in different dimensions ; nef.x defaults to dimension 6.

### Options

- **-h**

  prints this information

- **-f** or -

  use as filter; otherwise parameters denote I/O files

- **-N**

  input is in N-lattice (default is M)

- **-H**

  gives full list of Hodge numbers

- **-Lv**

  prints L vector of Vertices (in N-lattice)

- **-Lp**

  prints L vector of Points (in N-lattice)

- **-p**

  prints only partitions, no Hodge numbers

- **-D**

  calculates also direct products

- **-P**

  calculates also projections

- **-t**

  full time info

- **-cCODIM**

  codimension (default = 2)

- **-Fcodim**

  fibrations up to codim (default = 2)

- **-y**

  prints poly/CWS in M lattice if it has nef-partitions

- **-S**

  information about #points calculated in S-Poly

- **-T**

  checks Serre-duality

- **-s**

  don't remove symmetric nef-partitions

- **-n**

  prints polytope only if it has nef-partitions

- **-v**

  prints vertices and #points of input polytope in one line; with **-u**, **-l** the output is limited by #points:

- **-uPOINTS**

  ... upper limit of #points (default = POINT\_Nmax)

- **-lPOINTS**

  ... lower limit of #points (default = 0)

- **-m**

  starts with \[d  w1 w2 ... wk d=d\_1 d\_2 (Minkowski sum)

- **-R**

  prints vertices of input if not reflexive

- **-V**

  prints vertices of N-lattice polytope

- **-Q**

  only direct products (up to lattice Quotient)

- **-gNUMBER**

  prints points of Gorenstein polytope in N-lattice

- **-dNUMBER**

  prints points of Gorenstein polytope in M-lattice

- if NUMBER = 0 ... no

  0/1 info

- if NUMBER = 1 ... no redundant

  0/1 info (=default)

- if NUMBER = 2 ... full

  0/1 info

- **-G**

  Gorenstein cone: input \<-\> support polytope

## SEE ALSO

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