In this compendium of original, refereed papers given at the Europroj conferences held in Catania and Barcelona, leading international mathematicians communicate state-of-the-art research in algebraic geometry that emphasizes classification problems, in particular, studies on the structure of moduli spaces of vector bundles and the classification of curves and surfaces.

Algebraic Geometry furnishes distinct coverage of topics that will stimulate further research in this area of mathematics such as Brill-Noether theory stability of multiplicities of plethysm ruled surfaces and their blowups Fourier-Mukai transform of coherent sheaves Prym theta functions Burchnall-Chaundy theory and vector bundles equivalence of m-Hilbert stability and slope stability and much more!

Containing over 1300 literature citations, equations, and drawings, Algebraic Geometry is a fundamental resource for algebraic and differential geometers, topologists, number theorists, and graduate students in these disciplines.