A tight bound on the projective dimension of four quadrics

DOI10.1016/j.jpaa.2017.10.005zbMath1395.13014arXiv1403.6334OpenAlexW2963103415MaRDI QIDQ1748109

Alexandra Seceleanu, Jason McCullough, Craig Huneke, Paolo Mantero

Publication date: 2 May 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6334

zbMATH Keywords

projective dimensionCastelnuovo-Mumford regularityquadricsStillman's conjecture

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Linkage, complete intersections and determinantal ideals (13C40) Syzygies, resolutions, complexes and commutative rings (13D02) Low codimension problems in algebraic geometry (14M07)

Related Items

The projective dimension of three cubics is at most 5 ⋮ Cubics in 10 variables vs. cubics in 1000 variables: Uniformity phenomena for bounded degree polynomials ⋮ The regularity conjecture for prime ideals in polynomial rings ⋮ Universal lex ideal approximations of extended Hilbert functions and Hamilton numbers ⋮ Betti numbers of Koszul algebras defined by four quadrics ⋮ A finite classification of \((x, y)\)-primary ideals of low multiplicity ⋮ Strength conditions, small subalgebras, and Stillman bounds in degree ≤4 ⋮ Three themes of syzygies ⋮ Small subalgebras of polynomial rings and Stillman’s Conjecture ⋮ On the projective dimension of \(5\) quadric almost complete intersections with low multiplicities

Uses Software

• Macaulay2

Cites Work

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