Bounding Projective Dimension
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Publication:4915768
DOI10.1007/978-1-4614-5292-8_17zbMath1282.13029OpenAlexW2184808114MaRDI QIDQ4915768
Alexandra Seceleanu, Jason McCullough
Publication date: 12 April 2013
Published in: Commutative Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4614-5292-8_17
Homological dimension and commutative rings (13D05) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Computational homological algebra (13P20)
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Lower Bounds on Betti Numbers ⋮ Cubics in 10 variables vs. cubics in 1000 variables: Uniformity phenomena for bounded degree polynomials ⋮ The regularity conjecture for prime ideals in polynomial rings ⋮ Lattices and hypergraphs associated to square-free monomial ideals ⋮ Syzygies over a polynomial ring ⋮ Multiple structures with arbitrarily large projective dimension supported on linear subspaces ⋮ The projective dimension of codimension two algebras presented by quadrics ⋮ Linear syzygies, hyperbolic Coxeter groups and regularity ⋮ A tight bound on the projective dimension of four quadrics ⋮ Stillman's question for exterior algebras and Herzog's conjecture on Betti numbers of syzygy modules ⋮ Three themes of syzygies ⋮ Questions about Boij-S\"oderberg theory ⋮ On the projective dimension of \(5\) quadric almost complete intersections with low multiplicities ⋮ F-THRESHOLDS OF GRADED RINGS ⋮ Counterexamples to the Eisenbud–Goto regularity conjecture ⋮ Stillman's question for twisted commutative algebras
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