Homotopy type of smooth weighted complete intersections
type: Item
instance of: scholarly article
title: Homotopy type of smooth weighted complete intersections
zbMATH Open document ID: 1196.55008
published in: Science China. Mathematics
publication date: 2010-08-23T00:00:00Z
review text: If the total degree \(d\) has no prime divisors less than \(\frac{n + 3}{2}\), then the authors prove that the homotopy type of the complex odd dimensional smooth weighted complete intersection \(X _{n }(d;w)\) is determined by the dimension \(n\), the total degree \(d\), the Euler characteristic and the Kervaire invariant, provided that the weights \(w = (\omega _{0},\dots , \omega _{n +r })\) are pairwise relatively prime.
reviewed by: Simona Settepanella
Mathematics Subject Classification ID: 55P15
Mathematics Subject Classification ID: 14M10
zbMATH DE Number: 5774138
zbMATH Keywords: weighted projective space
zbMATH Keywords: weighted complete intersection
zbMATH Keywords: homotopy type
zbMATH Keywords: connected sum
author: Jian Bo Wang
author: Yuyu Wang
MaRDI profile type: Publication
full work available at URL: s11425-010-3002-2
OpenAlex ID: W2059027505
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DOI: 10.1007/S11425-010-3002-2
description: scientific article; zbMATH DE number 5774138