Degree Bounds for Zero-dimensional Gröbner Bases
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Date
2009-04-27
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Abstract
The theory of Gröbner bases plays a fundamental role in solving and reasoning with polynomial equations (ideals).
This thesis will review and prove matching upper and lower degree bounds of Gröbner bases for zero-dimensional ideals and prove that this degree is also obtained in the generic case.
For the lexicographic monomial ordering, this degree is d^n, for graded monomial ordering it is n (d - 1) + 1.
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Gröbner bases, zero-dimensional, degree bounds
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Degree
MS
Discipline
Mathematics
