The research and expository papers in this book cover a cross-section of the latest developments in modern algebraic geometry. The volume will be especially beneficial to researchers and to those who want to keep abreast of the latest directions in the field. Aimed at those with an expert background in the field, the topics covered include algebraic groups and representation theory, enumerative geometry, Schubert varieties, rationality, compactifications, and surfaces.
Rationality of the moduli of hyperelliptic curves of arbitrary genus by F. A. Bogomolov Cohomology algebra of Schubert varieties associated to Kac-Moody groups by S. Kumar New compactifications of locally symmetric varieties by E. Looijenga Binary quintics by L. E. Renner Enumerative geometry of cuspidal plane cubics by S. E. Kleiman and R. Speiser Affine Weyl groups with involutions by F. Bien On the geometry of Schubert varieties attached to Kac-Moody Lie algebras by P. Slodowy Embeddings of geometrically ruled surfaces in the four-quartic by A. Papantonopoulou The geometry of rational surfaces and Hilbert functions of points in the plane by B. Harbourne $G m$-actions on $A^3$ by M. Koreas and P. Russell Singularities in a certain class of quartic surfaces and sextic curves and Dynkin graphs by T. Urabe Algebraic groups with involutions by T. A. Springer An analogue of the logarithmic transform in characteristic $P$ by W. E. Lang The tangent cone to the discriminant by R. Smith and R. Varley On the monodromy of algebraic varieties by S. Zucker Cohomology of Springer fibres, orbits of the Weyl groups, and a theorem of DeConcini and Procesi by J. B. Carrell Tangency and duality by S. L. Kleiman Binary quintics and the icosahedron by M. Szurek On the number of planes triply tangent to a surface in projective space by F. Ronga The seminormalization of an abstract configuration of lines by B. H. Dayton and L. G. Roberts Singular Poincare duality and intersection homology by L. Kaup and K.-H. Fieseler $CR$ structures on the link of an isolated singular point by J. Scherk The minimal free resolution of the ideal of $s$ general points in $P^3$ by E. Ballico and A. V. Geramita Lines having specified contact with projective varieties by S. J. Colley Torsion free modules and simple curve singularities by G.-M. Greuel A vanishing theorem for vector bundles on the flag variety and moduli spaces of vector bundles with "small" Chern classes by H. Kurke.