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 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.