Facets of Algebraic Geometry: Volume 2 (eBook, PDF)

A Collection in Honor of William Fulton's 80th Birthday
Redaktion: Aluffi, Paolo

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 7. April 2022
• Englisch
• ISBN-13: 9781108890540
• Artikelnr.: 66193610

Inhaltsangabe

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 Michäek 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.