#13282: Access to GRDB Fano polytopes
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Reporter: sjg10 | Owner: mhampton
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.3
Component: geometry | Keywords:
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Samuel Gonshaw
Merged in: | Dependencies:
Stopgaps: |
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This patch introduces the following functions into
`sage.geometry.lattice_polytope`:
{{{
PolytopeCanonicalFanoDim2 PolytopeSmoothFanoDim2
PolytopeCanonicalFanoDim3 PolytopeSmoothFanoDim3
PolytopeReflexiveFanoDim2 PolytopeSmoothFanoDim4
PolytopeReflexiveFanoDim3 PolytopeSmoothFanoDim5
PolytopeTerminalFanoDim2 PolytopeSmoothFanoDim6
PolytopeTerminalFanoDim3 PolytopeSmoothFanoDim7
PolytopeSmallPolygon PolytopeSmoothFanoDim8
PolytopeSmoothFano PolytopelReflexiveDim2
}}}
These read from the data stored in this
spkg:[http://coates.ma.ic.ac.uk/GRDB_polytopes-20120719.spkg]
by using the new private function `_GRDBBlockReader` to access
classifications of the above Fano polytopes originally stored on the
[http://grdb.lboro.ac.uk Graded Ring Database] and return
`LatticePolytope` instances.
The interface mirrors the implementation in MAGMA.
* The functions `PolytopeSmoothFanoDim6`, `PolytopeSmoothFanoDim7`,
`PolytopeSmoothFanoDim8` are commented out and access to
`PolytopeSmoothFano` is limited as smooth Fanos of dimension 6 and up have
too many facets for the PALP backend to currently deal with.
* the functions are not imported to the top-level at runtime, but are left
accessible as `lattice_polytope.*` to reduce clutter
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13282>
Sage <http://www.sagemath.org>
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