Managing Editor: Grundhöfer, Theo / Strambach, Karl
null 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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1Dipartimento di Matematica “F. Enriques”, Via C. Saldini 50, 20133 Milano, Italy. Email: atironi@mat.unimi.it
Citation Information: Advances in Geometry. Volume 10, Issue 1, Pages 145–159, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: 10.1515/advgeom.2009.037, September 2009
Publication History:
We point out the relations between the classical and the adjunction-theoretic definition of scroll over varieties of dimension four. In particular, we prove that an adjunction-theoretic scroll of dimension greater than or equal to seven, polarized by a very ample line bundle, is also a classical scroll and that a classical scroll is an adjunction-theoretic scroll with a few exceptions.
Key words.: Adjunction theory; adjoint vector bundles; Fano–Mori contraction; extremal ray
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