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Facets of Algebraic Geometry

Facets of Algebraic Geometry

Facets of Algebraic Geometry

A Collection in Honor of William Fulton's 80th Birthday
Volume 2:
Paolo Aluffi, Florida State University
David Anderson, Ohio State University
Milena Hering, University of Edinburgh
Mircea Mustaţă, University of Michigan, Ann Arbor
Sam Payne, University of Texas, Austin
March 2022
2
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9781108890540
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    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.

    • Covers a wide range of topics in modern algebraic geometry reflecting William Fulton's broad range of interests
    • Written by a combination of well-established researchers and rising stars of a new generation of mathematicians
    • Suitable for graduate students and researchers in algebraic geometry and related fields

    Product details

    March 2022
    Adobe eBook Reader
    9781108890540
    0 pages
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Table of Contents

    • 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 MichaÅ‚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.
      Contributors
    • Milena Hering, Benjamin Nill, Hendrik Süß, Philipp Jell, Allen Knutson, Khazhgali Kozhasov, Mateusz MichaÅ‚ek, Bernd Sturmfels, Thomas Lam, Seung Jin Lee, Mark Shimozono, Joshua F. Lieber, Yuri I. Manin, Matilde Marcolli, John Christian Ottem, Ragni Piene, Sutipoj Promtapan, Richárd Rimányi, Colleen Robichaux, Harshit Yadav, Alexander Yong, Frank Sottile, Robert Williams, Li Ying, Richard P. Thomas