Diophantine equations, Hilbert series, and undecidable spaces

DOI10.2307/1971370zbMath0584.13012OpenAlexW2333559045MaRDI QIDQ1070289

David J. Anick

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2307/1971370

zbMATH Keywords

Hilbert seriesDiophantine equationgraded Hopf algebraPoincaré series of local ringsPoincaré series of loop spacesundecidable spaces

Mathematics Subject Classification ID

Rational homotopy theory (55P62) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Loop spaces (55P35) Applications of logic to commutative algebra (13L05) Local rings and semilocal rings (13H99)

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