Algebraic Geometry, Sitges (Barcelona) 1983

An analytical translation of a criterion of welters and its relation with the K.P. Hierarchy.- Lectures on K3- and enriques surfaces.- Generic invertible sheaves of 2-torsion and generic invertible thetacharacteristics on nodal plane curves.- Fano threefolds with singularities.- Computations of some Hilbert functions related with schubert calculus.- Smoothing algebraic space curves.- Complete intersection curves, the splitting of the normal bundle and the veronese surface.- Compressed algebras and components of the punctual Hilbert scheme.- Theta divisors of generalized Prym varieties I.- Applications of algebraic K-theory to the theory of algebraic cycles.- Double sextics and singular K-3 surfaces.- On the problem of enumerating twisted cubics.- Components of the locus of singular theta divisors of genus 5.