Facets of Algebraic Geometry: Volume 2
A Collection in Honor of William Fulton's 80th Birthday

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

Paolo Aluffi (Edited by), David Anderson (Edited by), Milena Hering (Edited by), Mircea Musta?? (Edited by), Sam Payne (Edited by)

9781108792516, Cambridge University Press

Paperback / softback, published 7 April 2022

408 pages
22.9 x 15.1 x 2.2 cm, 0.57 kg

Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured 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.

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 Micha?ek 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.

Subject Areas: Combinatorics & graph theory [PBV], Algebraic geometry [PBMW], Groups & group theory [PBG]