Toric lattice elements

This module was designed as a part of the framework for toric varieties (variety, fano_variety).

AUTHORS:

• Andrey Novoseltsev (2010-05-27): initial version.

class sage.geometry.toric_lattice_element.ToricLatticeElement

Bases: Vector_integer_dense

Create an element of a toric lattice.

Warning

You probably should not construct such elements explicitly.

INPUT:

• same as for Vector_integer_dense.

OUTPUT: element of a toric lattice

plot(**options)

Plot self.

INPUT:

• any options for toric plots (see toric_plotter.options), none are mandatory.

OUTPUT: a plot

EXAMPLES:

Sage

sage: N = ToricLattice(3)
sage: n = N(1,2,3)
sage: n.plot()                                                              # needs sage.plot
Graphics3d Object

Python

>>> from sage.all import *
>>> N = ToricLattice(Integer(3))
>>> n = N(Integer(1),Integer(2),Integer(3))
>>> n.plot()                                                              # needs sage.plot
Graphics3d Object

Sage Live

N = ToricLattice(3)
n = N(1,2,3)
n.plot()                                                              # needs sage.plot

sage.geometry.toric_lattice_element.unpickle_v1(parent, entries, degree, immutable)

Unpickle a ToricLatticeElement.

INPUT:

• parent – the parent toric lattice

• entries – list; the coordinates of the lattice point

• degree – integer; the dimension of the toric lattice

• immutable – boolean; whether the lattice element is immutable

OUTPUT: the ToricLatticeElement determined by the input data

EXAMPLES:

Sage

sage: N = ToricLattice(3, "lattice")
sage: loads(dumps(N(1,2,3)))   # indirect test
lattice(1, 2, 3)
sage: from sage.geometry.toric_lattice_element import unpickle_v1
sage: unpickle_v1(N,[1,2,3],3,True)
lattice(1, 2, 3)

Python

>>> from sage.all import *
>>> N = ToricLattice(Integer(3), "lattice")
>>> loads(dumps(N(Integer(1),Integer(2),Integer(3))))   # indirect test
lattice(1, 2, 3)
>>> from sage.geometry.toric_lattice_element import unpickle_v1
>>> unpickle_v1(N,[Integer(1),Integer(2),Integer(3)],Integer(3),True)
lattice(1, 2, 3)

Sage Live

N = ToricLattice(3, "lattice")
loads(dumps(N(1,2,3)))   # indirect test
from sage.geometry.toric_lattice_element import unpickle_v1
unpickle_v1(N,[1,2,3],3,True)

Make live