caa a22 4500 475738624 CHVBK 20180406123453.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1007/s002220000096 doi (NATIONALLICENCE)springer-10.1007/s002220000096 Turner James M. Department of Mathematics, Calvin College, 3201 Burton Street, S.E., Grand Rapids, MI 49546, USA (e-mail: jturner@calvin.edu), USA aut On simplicial commutative algebras with vanishing André-Quillen homology [Elektronische Daten] [James M. Turner] Abstract. : In this paper, we study the André-Quillen homology of simplicial commutative ℓ-algebras, ℓ a field, having certain vanishing properties. When ℓ has non-zero characteristic, we obtain an algebraic version of a theorem of J.-P. Serre and Y. Umeda that characterizes such simplicial algebras having bounded homotopy groups. We further discuss how this theorem fails in the rational case and, as an application, indicate how the algebraic Serre theorem can be used to resolve a conjecture of D. Quillen for algebras of finite type over Noetherian rings, having non-zero characteristic. Springer-Verlag Berlin Heidelberg, 2000 Inventiones mathematicae Springer Berlin Heidelberg 142/3(2000-12-01), 547-558 0020-9910 142:3<547 2000 142 222 https://doi.org/10.1007/s002220000096 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s002220000096 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Turner James M. Department of Mathematics, Calvin College, 3201 Burton Street, S.E., Grand Rapids, MI 49546, USA (e-mail: jturner@calvin.edu), USA aut NATIONALLICENCE 773 0- Inventiones mathematicae Springer Berlin Heidelberg 142/3(2000-12-01), 547-558 0020-9910 142:3<547 2000 142 222 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer