Toric Geometry
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics and theoretical physics, toric geometry is a set of methods in algebraic geometry in which certain complex manifolds are visualized as fiber bundles with multi-dimensional tori as fibers. The triangle is the toric base of the complex projective plane. The generic fiber is a two-torus parameterized by the phases of z1,z2; the phase of z3 can be chosen real and positive by the U(1) symmetry. However, the two-torus degenerates into three different circles ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics and theoretical physics, toric geometry is a set of methods in algebraic geometry in which certain complex manifolds are visualized as fiber bundles with multi-dimensional tori as fibers. The triangle is the toric base of the complex projective plane. The generic fiber is a two-torus parameterized by the phases of z1,z2; the phase of z3 can be chosen real and positive by the U(1) symmetry. However, the two-torus degenerates into three different circles on the boundary of the triangle i.e. at x = 0 or y = 0 or z = 0 because the phase of z1,z2,z3 becomes inconsequential, respectively.
