Wang, Jianbo; Wang, Yuyu Moduli spaces of 6 and 7-dimensional complete intersections. (English) Zbl 1342.14101 Topology Appl. 199, 63-69 (2016). In their paper [Contemp. Math. 58, 183–194 (1986; Zbl 0605.14010)], A. S. Libgober and J. W. Wood showed the existence of homeomorphic complete intersections of dimension 2 and diffeomorphic ones of dimension 3 that belong to components of the moduli space having different dimensions. Then in [J. Reine Angew. Math. 476, 209–215 (1996; Zbl 0847.14003); ibid. 525, 231–217 (2000; Zbl 0992.14015)] P. Brückmann constructed examples of homeomorphic complete intersections of dimension 2 and 4 that belong to components of the moduli space of different dimensions. The authors of the present paper, using their results in [F. Fang and J. Wang, Math. Z. 266, No. 3, 719–746 (2010; Zbl 1207.57032); Electron. Res. Announc. Math. Sci. 21, 28–40 (2014; Zbl 1303.14055)] show that there exist homeomorphic (diffeomorphic) complex 6-dimensional (7-dimensional) complete intersections which lie in different dimensional components of the moduli space. Reviewer: Aigli Papantonopoulou (Ewing) MSC: 14M10 Complete intersections 14J15 Moduli, classification: analytic theory; relations with modular forms Keywords:complete intersections; moduli space Citations:Zbl 0605.14010; Zbl 0847.14003; Zbl 0992.14015; Zbl 1207.57032; Zbl 1303.14055 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Wang}, Topology Appl. 199, 63--69 (2016; Zbl 1342.14101) Full Text: DOI arXiv References: [1] Brückmann, P., A remark on moduli spaces of complete intersections, J. Reine Angew. Math., 476, 209-215 (1996) · Zbl 0847.14003 [2] Brückmann, P., A remark on moduli spaces of 4-dimensional complete intersections, J. Reine Angew. Math., 525, 213-217 (2000) · Zbl 0992.14015 [3] Chen, S., Equal products and equal sums of like powers [4] Choudhry, A., Equal sums of like powers and equal products of integers, Rocky Mountain J. Math., 43, 763-792 (2013) · Zbl 1355.11022 [5] Fang, F.; Wang, J., Homeomorphism classification of complex projective complete intersections of dimensions 5, 6 and 7, Math. Z., 266, 719-746 (2010) · Zbl 1207.57032 [6] Kreck, M., Surgery and duality, Ann. of Math., 149, 3, 707-754 (1999) · Zbl 0935.57039 [7] Libgober, A.; Wood, J., Differentiable structures on complete intersections, I., Topology, 21, 469-482 (1982) · Zbl 0504.57015 [8] Libgober, A.; Wood, J., Remarks on moduli spaces of complete intersections, Contemp. Math., 58, 183-194 (1986) · Zbl 0605.14010 [9] Narasimhan, M.; Simha, R., Manifolds with ample canonical class, Invent. Math., 5, 120-128 (1968) · Zbl 0159.37902 [10] Traving, C., Klassification vollständiger Durchschnitte (1985), University of Mainz, available from: [11] Wang, J., Remarks on 5-dimensional complete intersections, Electron. Res. Announc. Math. Sci., 21, 28-40 (2014) · Zbl 1303.14055 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.