The characteristic numbers of smooth plane cubics -- Multiple-point formulas and line complexes -- Geometry of severi varieties, II: Independence of divisor classes and examples -- Varieties cut out by quadrics: Scheme-theoretic versus homogeneous generation of ideals -- Vanishing theorems for varieties of low codimension -- Explicit computations in Hilb3 ?2 -- Iterated blow-ups and moduli for rational surfaces -- On the embeddings of projective varieties -- Iteration of multiple point formulas and applications to conics -- Enumerative geometry of nodal plane cubics -- Old and new results about the triangle varieties -- Computing chow groups -- Transversality theorems for families of maps -- Complete bilinear forms.

This volume presents selected papers resulting from the meeting at Sundance on enumerative algebraic geometry. The papers are original research articles and concentrate on the underlying geometry of the subject.