Stillman’s conjecture via generic initial ideals

DOI10.1080/00927872.2019.1574806zbMath1419.13001arXiv1802.10139OpenAlexW2963608442WikidataQ128036729 ScholiaQ128036729MaRDI QIDQ5379444

Michał Lasoń, Anton Leykin, Jan Draisma

Publication date: 12 June 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.10139

zbMATH Keywords

Gröbner basesBuchberger's algorithmStillman's conjecture

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Graded rings (13A02) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items

The projective dimension of three cubics is at most 5 ⋮ Regularity of prime ideals ⋮ The regularity conjecture for prime ideals in polynomial rings ⋮ Universal lex ideal approximations of extended Hilbert functions and Hamilton numbers ⋮ Syzygies over a polynomial ring ⋮ An equivariant Hochster's formula for Sn$\mathfrak {S}_n$‐invariant monomial ideals ⋮ The spectrum of a twisted commutative algebra ⋮ Relative big polynomial rings ⋮ Strength conditions, small subalgebras, and Stillman bounds in degree ≤4 ⋮ Topological Noetherianity of polynomial functors. II: Base rings with Noetherian spectrum ⋮ Big polynomial rings with imperfect coefficient fields ⋮ Topological Noetherianity of polynomial functors ⋮ Big polynomial rings and Stillman's conjecture

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