A counterexample to a conjecture of Serre

From MaRDI portal
Publication:1149667

DOI10.2307/1971338zbMath0454.55004OpenAlexW1990317662WikidataQ122942916 ScholiaQ122942916MaRDI QIDQ1149667

David J. Anick

Publication date: 1982

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1721.1/35321



Related Items

LS-category of moment-angle manifolds and higher order Massey products, The Poincaré series of every finitely generated module over a codimension four almost complete intersection is a rational function, Graded algebras and their Euler-Poincaré series, Rationality of the Poincaré series for Koszul algebras., Stanley-Reisner Rings, Homological properties of the homology algebra of the Koszul complex of a local ring: examples and questions, Open problems on syzygies and Hilbert functions, Poincaré series of compressed local Artinian rings with odd top socle degree, The fibre of an iterative adjunction of cells, Poincaré series of modules over local rings of small embedding codepth or small linking number, Local Artinian rings and the Fröberg relation, A nonnilpotent 1-2-presented graded Hopf algebra whose Hilbert series converges in the unit circle, Higher order Massey products and applications, Growth of Betti numbers of modules over generalized Golod rings, GENERIC LINES IN PROJECTIVE SPACE AND THE KOSZUL PROPERTY, A Taylor resolution over complete intersections, Chow rings of matroids are Koszul, Products of ideals may not be Golod, Decompositions of certain loop spaces., Ordinary and symbolic powers are Golod, Koszul Algebras and Computations, Poincaré series of modules over compressed Gorenstein local rings, Non-commutative graded algebras and their Hilbert series, A Survey on Koszul Algebras and Koszul Duality, Separated Lie models and the homotopy Lie algebra, A computer-aided study of the graded Lie algebra of a local commutative noetherian ring. -- Appendix A: Some technical details about how the computer was used. -- Appendix B (by Clas Löfwall): The Lie algebra structure of a ring satisfying \({\mathcal M}_ 3\) and variants, Daniel Quillen, the father of abstract homotopy theory, On the Betti numbers of the free loop space of a coformal space, Koszul cycles and Golod rings, Three themes of syzygies, Homotopie rationnelle et croissance du nombre de géodésiques fermées, A criterion for modules over Gorenstein local rings to have rational Poincaré series, Homotopie rationnelle et croissance du nombre de géodésiques fermées, Poincaré Series and Deformations of Gorenstein Local Algebras, Ulrich ideals in numerical semigroup rings of small multiplicity, A truncated minimal free resolution of the residue field, The Cartan map on categories of graded modules, On the ranks of homotopy groups of two-cones, Poincaré series of short Artinian rings, Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos, Rational dependence among Hilbert and Poincaré series, Finitely presented graded Lie algebras and homomorphisms of local rings, Local rings over which all modules have rational Poincaré series, The smallest \(\Omega\)-irrational CW-complex, Diagram groups and directed 2-complexes: homotopy and homology.