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Full 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, 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.
Contents
1. Positivity of Segre-MacPherson classes Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann and Changjian Su; 2. Brill-Noether special cubic fourfolds of discriminant 14 Asher Auel; 3. Automorphism groups of almost homogeneous varieties Michel Brion; 4. Topology of moduli spaces of tropical curves with marked points Melody Chan, Søren Galatius and Sam Payne; 5. Mirror symmetry and smoothing Gorenstein toric affine 3-folds Alessio Corti, Matej Filip and Andrea Petracci; 6. Vertex algebras of CohFT-type Chiara Damiolini, Angela Gibney and Nicola Tarasca; 7. The cone theorem and the vanishing of Chow cohomology Dan Edidin and Ryan Richey; 8. Cayley-Bacharach theorems with excess vanishing Lawrence Ein and Robert Lazarsfeld; 9. Effective divisors on Hurwitz spaces Gavril Farkas; 10. Chow quotients of Grassmannians by diagonal subtori Noah Giansiracusa and Xian Wu; 11. Quantum Kirwan for quantum K-theory E. González and C. Woodward; 12. Toric varieties and a generalization of the Springer resolution William Graham; 13. Toric surfaces, linear and quantum codes - secret sharing and decoding Johan P. Hansen.
