Notes on toric varieties

Details Notes on toric varieties Notes on toric varieties

2002-08-08

arxiv.org/abs/math/0208065v1

Mathematics

Algebraic Geometry

71 pages, 35 figures, index

Scientific paper

These notes survey some basic results in toric varieties over a field with examples and applications. A computer algebra package (written by the second author) is described which deals with both affine and projective toric varieties in any number of dimensions (written in both the software packages MAGMA and GAP). Among other things, the package implements a desingularization procedure for affine toric varieties, constructs some error-correcting codes associated with toric varieties, and computes the Riemann-Roch space of a divisor on a toric variety.

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