Electronic Research Announcements in Mathematical Sciences (ERA-MS)

Remarks on 5-dimensional complete intersections

Pages: 28 - 40, Volume 21, 2014      doi:10.3934/era.2014.21.28

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Jianbo Wang - Department of Mathematics, School of Science, Tianjin University. Weijin Road 92, Nankai District, Tianjin 300072, China (email)

Abstract: This paper will give some examples of diffeomorphic complex 5-dimensional complete intersections and remarks on these examples. Then a result on the existence of diffeomorphic complete intersections that belong to components of the moduli space of different dimensions will be given as a supplement to the results of P.Brückmann (J. reine angew. Math. 476 (1996), 209--215; 525 (2000), 213--217).

Keywords:  Complete intersections, diffeomorphism, moduli space.
Mathematics Subject Classification:  Primary: 14M10, 14J15, 57R50; Secondary: 57R19, 14D22.

Received: December 2013;      Revised: January 2014;      Available Online: March 2014.