A remark on extremal stability of configuration spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A remark on extremal stability of configuration spaces

Affiliation:	1. Institute of Mathematics, Czech Academy of Sciences, ?itná 25, 115 67, Prague, Czech Republic;2. Tallinn University of Technology, Akadeemia tee 21b, 12618, Tallinn, Estonia;1. School of Mathematics, Trinity College Dublin, Ireland;2. Hamilton Mathematics Institute, Ireland;1. École Polytechnique Fédérale de Lausanne, SB MATH CAG, MA C3 615 (Bâtiment MA), Station 8, CH-1015 Lausanne, Switzerland;2. Universidad de Costa Rica, Escuela de Matemática, San José 11501, Costa Rica;3. Leipzig University, Institut für Mathematik, Augustusplatz 10, 04109 Leipzig, Germany;1. Departamento de Matemática, Universidade Federal do Rio Grande do Norte, Natal, RN, 59078-970, Brazil;2. Department of Mathematics, State University of Campinas, 651 Sergio Buarque de Holanda, 13083-859 Campinas, SP, Brazil

Abstract:	We explicitly study the extremal stability of configuration spaces of complex projective spaces of any dimension, and show that the homology groups are vanish in extremal stable range. As a consequence, we give an affirmative answer of the question of Knudsen, Miller and Tosteson.

Keywords:	Configuration spaces Extremal stability Hilbert function Chevalley–Eilenberg complex
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