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On the complexity of the projective classification of surfaces
Authors:A Biancofiore  E Laura Livorni  A J Sommese
Institution:(1) Dipartimento di Matematica, Via Vetoio, Loc. Coppito, I-67100 L'Aquila, Italy;(2) Department of Mathematics, University of Notre Dame, 46556 Notre Dame, Indiana, USA
Abstract:LetX be a complex, connected, projective surface. LetL be a very ample line bundle onX, i.e. there is an embedding phiv:Xrarr P c with 
$$L \approx \phi *\mathcal{O}_{PC} (1)$$
. In this article we study projective classification for surfaces when the independent variable is large.
Keywords:14c20  14J25
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