NEF.X(1)

💖 NEF.X(1) 💖

okay bestie, welcome to the manual page for nef.x and its little sibling programs — it's in the User Commands section, and honestly it's giving very much "niche math girlie who slays". let's get into it ✨

🌸 NAME 🌸

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

🎀 SYNOPSIS 🎀

nef.x <Options>

🦋 DESCRIPTION 🦋

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

✨ Options ✨

okay here's the whole lineup, no skips, no skimming, we respect every single flag in this house 👑

• -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

and for the NUMBER situation, here's the tea 🍵:

• 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

ngl bestie, that arxiv link is the whole vibe if you want the deep lore 📚

and that's the page fr fr 💜 this was nef.x version 2.1, dated May 2012 — iconic era, honestly. go off and compute those Hodge numbers, you absolute main character 🌟💅🎀