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…mehr

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Produktbeschreibung
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.