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Open problems (collected by E. Ballico, C. Ciliberto and F. Catanese). (English) Zbl 0781.14016
Classification of irregular varieties, minimal models and abelian varieties, Proc. Conf., Trento/Italy 1990, Lect. Notes Math. 1515, 140-146 (1992).
[For the entire collection see Zbl 0744.00029.]
First we spend a few lines on the fate of some of the problems collected in the problem list appeared at the end of a previous proceedings volume [cf. Algebraic curves and projective geometry, Proc. Conf., Trento/Italy 1988, Lect. Notes Math. 1389, 276-285 (1989; Zbl 0675.14008)] edited by E. Ballico and C. Ciliberto.
Here is the new list of problems and questions. Problem (1) is on modular forms and theta-functions. Problem (2) is on $$K$$-theory. Problems (3), (4) and (5) are concerned with the behaviour of linear systems on complex projective curves. Problems (i) with $$6\leq i\leq 16$$ were a “private” list worked out by the participants of a workshop on “Hyperplane sections and bounds of the genus of curves in $$\mathbb{P}^ n$$” (Nice, 8- 12th april 1991) organized by Ph. Ellia and R. Strano.

##### MSC:
 14Hxx Curves in algebraic geometry 14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry 00A07 Problem books