Facets of Algebraic Geometry: Volume 1: A Collection in Honor of William Fulton's 80th Birthday

Description

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, representation theory, tropical geometry, moduli spaces, Schubert calculus, quantum cohomology. 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. Frontmatter Dedication Contents of Volume 1 Contents of Volume 2 List of Contributors (Volume 1) List of Contributors (Volume 2) 1 Positivity of Segre–MacPherson Classes 2 Brill–Noether Special Cubic Fourfolds of Discriminant 14 3 Automorphism Groups of Almost Homogeneous Varieties 4 Topology of Moduli Spaces of Tropical Curves with Marked Points 5 Mirror Symmetry and Smoothing Gorenstein Toric Affine 3-folds 6 Vertex Algebras of CohFT-type 7 The Cone Theorem and the Vanishing of Chow Cohomology 8 Cayley–Bacharach Theorems with Excess Vanishing 9 Effective Divisors on Hurwitz Spaces 10 Chow Quotients of Grassmannians by Diagonal Subtori 11 Quantum Kirwan for Quantum K-theory 12 Toric Varieties and a Generalization of the Springer Resolution 19.0_pp_371_402_Toric_Surfaces_Linear_and_Quantum_Codes_Secret_Sharing_and_Decoding