Facets of Algebraic Geometry: Volume 1

Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

Written to honor the 80th birthday of William Fulton, the articles in this volume present substantial contributions to algebraic geometry, particularly combinatorial algebraic geometry and intersection theory. Covering a wide range of topics of current interest, the book will appeal to graduate students and established researchers in the field.Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the first of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured topics include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.