Lucian BĂdescu (auth.), Lucian Bădescu, Dorin Popescu (eds.)'s Algebraic Geometry Bucharest 1982: Proceedings of the PDF

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By Lucian BĂdescu (auth.), Lucian Bădescu, Dorin Popescu (eds.)

ISBN-10: 3540129308

ISBN-13: 9783540129301

ISBN-10: 3540388117

ISBN-13: 9783540388111

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Un. Matem. Ital. (4) 12 (1975) 138-146. varieties, Comment. Math. Helv. 54 (1979) 14o-146 37. J. Sommese, On manifolds that cannot be ample divisors, Math. Ann. 221 (1976) 55-72. 38. ~ ~ * , Correspondence, Amer. Math. 79 (1957) 951-952 ( - A. Wail, Oeuvres sc. II 555-556). INCREST Bucharest, Dept. of Mathematics, B-dul P~cii 220, 79622 Bucharest, Rumania. TOPOLOGICALLY BUNDLES Vasile TRIVIAL ALGEBRAIC 2-VECTOR ON RULED S U R F A C E S . I I BRINZANESCU and M a n u e l a STOIA INTRODUCTION It is a c l a s s i c a l continuous their Chern trivial complex result vector classes that on c o m p a c t bundles Cl,C 2 of rank (Wu[13]).

Sition lines. [i,j}={l,2} . We cannot have LI=L 2 becau- So LIL2=0 2n+2 in ~n+2 by Lemma only finitely many smooth ratio- so there are two possibiliteis: infinitely many integral divisors In particular We get Y must be a K3 surface and 2) K=LI+L 2 where L 1 and L 2 are straight get -2=L~+LiK=2L~+LiL j where contraction. X is minimal. K not isomor- Since the divisors K have de- gree 4 we get Pa(K)~3. ii) we get that pg=2, q=0 and the canonical map fK:X-p I gives an elliptic fibration. 572) gives f' (b)=K=f~M +I (mj-l)Ej where bsp I, M~Pic(pl), deg(M)=-2+X(Ox)=l fibres of fK each with multiplicity and mjEj are all multiples mj.

M. Schlessinger, Rice Univ. Studies 59 (i) (1973) 113-117. Mere. Coll. Sol. Kyoto (A) 32 (196o) 351-37o. of algebraic varieties with G -action, Ast~risque 20, Soci@t@ Math. demFrance (1974). On rigid singularities, Rice Univ. Studies 59 (I) (1973) 147-162. 34. G. Scorza, Sopra una certa classe di variet~ razionmli, Rend. Circ. Matem. Palermo 28 (19o9) 4oo-4ol. 35. E. Sernesi, Small deformations 36. J. Sommese, Non-smoothable of global complete intersections, Boll. Un. Matem. Ital. (4) 12 (1975) 138-146.

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Algebraic Geometry Bucharest 1982: Proceedings of the International Conference held in Bucharest, Romania, August 2–7, 1982 by Lucian BĂdescu (auth.), Lucian Bădescu, Dorin Popescu (eds.)


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