Abstract
Fano threefolds which are IP1-bundles on smooth projective surfaces have been classified by Szurek and Wiśniewski in [17]. The aim of the present paper is to describe the quantum cohomology ring in these explicit cases.

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Editorial Board Member: Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Löwen, Rainer / Ono, Kaoru / Pasini, Antonio / Penttila, Tim / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Sommese, Andrew J. / Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard / Rosehr, Nils / Bannai, Eiichi
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Citation Information: Advances in Geometry. Volume 5, Issue 1, Pages 49–70, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: 10.1515/advg.2005.5.1.49, July 2005
Fano threefolds which are IP1-bundles on smooth projective surfaces have been classified by Szurek and Wiśniewski in [17]. The aim of the present paper is to describe the quantum cohomology ring in these explicit cases.
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