图书简介
Written to honor the 80th birthday of William Fulton, the articles collected in these volumes 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.
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; 14. Stability of tangent bundles on smooth toric Picard-rank-2 varieties and surfaces Milena Hering, Benjamin Nill and Hendrik Süß; 15. Tropical cohomology with integral coefficients for analytic spaces Philipp Jell; 16. Schubert polynomials, pipe dreams, equivariant classes, and a co-transition formula Allen Knutson; 17. Positivity certificates via integral representations Khazhgali Kozhasov, Mateusz Michałek and Bernd Sturmfels; 18. On the coproduct in affine Schubert calculus Thomas Lam, Seung Jin Lee and Mark Shimozono; 19. Bost–Connes systems and F1-structures in Grothendieck rings, spectra, and Nori motives Joshua F. Lieber, Yuri I. Manin, and Matilde Marcolli; 20. Nef cycles on some hyperkähler fourfolds John Christian Ottem; 21. Higher order polar and reciprocal polar loci Ragni Piene; 22. Characteristic classes of symmetric and skew-symmetric degeneracy loci Sutipoj Promtapan and Richárd Rimányi; 23. Equivariant cohomology, Schubert calculus, and edge labeled tableaux Colleen Robichaux, Harshit Yadav and Alexander Yong; 24. Galois groups of composed Schubert problems Frank Sottile, Robert Williams and Li Ying; 25. A K-theoretic Fulton class Richard P. Thomas.
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