Computing with toric varieties

Authors:
Helena Verrill;David Joyner
Affiliations:
Math Department, Louisiana St. University, LA, United States;Math Department, US Naval Academy, MD, United States
Venue:
Journal of Symbolic Computation
Year:
2007

Citing 3
Cited 0

The MAGMA algebra system I: the user language

Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Toric Codes over Finite Fields

Applicable Algebra in Engineering, Communication and Computing
Toric Surface Codes and Minkowski Sums

SIAM Journal on Discrete Mathematics

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Abstract

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 MAGMA and GAP). Among other things, the package implements the desingularization procedure, constructs some error-correcting codes associated with toric varieties, and computes the Riemann-Roch space of a divisor on a toric variety.