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Gröbner bases and triangulations of the second hypersimplex

✍ Scribed by Jesús A. De Loera; Bernd Sturmfels; Rekha R. Thomas

Publisher
Springer-Verlag
Year
1995
Tongue
English
Weight
925 KB
Volume
15
Category
Article
ISSN
0209-9683

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In this paper, the complexity of the conversion problem for Gröbner bases is investigated. It is shown that for adjacent Gröbner bases F and G, the maximal degree of the polynomials in G, denoted by deg(G), is bounded by a quadratic polynomial in deg(F ). For non-adjacent Gröbner bases, however, the

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Let R be a Noetherian commutative ring with identity, K a field and π a ring homomorphism from R to K. We investigate for which ideals in R[x 1 , . . . , xn] and admissible orders the formation of leading monomial ideals commutes with the homomorphism π.