A toric ring with irrational Poincaré-Betti series

DOI10.1016/S0764-4442(97)89459-1zbMath0934.14033OpenAlexW2074688625MaRDI QIDQ4216992

Bernd Sturmfels, Jan-Erik Roos

Publication date: 25 April 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(97)89459-1

zbMATH Keywords

toric curveirrational Poincaré-Betti series

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Plane and space curves (14H50) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (10)

Hilbert functions over toric rings ⋮ On the Cohen-Macaulay property for quadratic tangent cones ⋮ Koszul Binomial Edge Ideals ⋮ A Taylor resolution over complete intersections ⋮ A Gorenstein numerical semi-group ring having a transcendental series of Betti numbers ⋮ A Survey on Koszul Algebras and Koszul Duality ⋮ Finite lattices and lexicographic Gröbner bases ⋮ An affine monomial curve with irrational Poincaré-Betti series ⋮ Four counterexamples in combinatorial algebraic geometry ⋮ Toric ideals generalized by quadratic binomials

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