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E-raamat: Combinatorial Algebraic Geometry: Selected Papers From the 2016 Apprenticeship Program

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This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.
Fitness, Apprenticeship, and Polynomials
1(20)
Bernd Sturmfels
From Curves to Tropical Jacobians and Back
21(26)
Barbara Bolognese
Madeline Brandt
Lynn Chua
Tritangent Planes to Space Sextics: The Algebraic and Tropical Stories
47(18)
Corey Harris
Yoav Len
Theta Characteristics of Tropical K4-Curves
65(22)
Melody Chan
Pakawut Jiradilok
Secants, Bitangents, and Their Congruences
87(26)
Kathlen Kohn
Bernt Ivar Utstøl Nødland
Paolo Tripoli
Equations of M0,n
113(20)
Leonid Monin
Julie Rana
Minkowski Sums and Hadamard Products of Algebraic Varieties
133(26)
Netanel Friedenberg
Alessandro Oneto
Robert L. Williams
Khovanskii Bases of Cox-Nagata Rings and Tropical Geometry
159(22)
Martha Bernal Guillen
Daniel Corey
Maria Donten-Bury
Naoki Fujita
Georg Merz
Equations and Tropicalization of Enriques Surfaces
181(20)
Barbara Bolognese
Corey Harris
Joachim Jelisiejew
Specht Polytopes and Specht Matroids
201(28)
John D. Wiltshire-Gordon
Alexander Woo
Magdalena Zajaczkowska
The Degree of SO(n, C)
229(18)
Madeline Brandt
Juliette Bruce
Taylor Brysiewicz
Robert Krone
Elina Robeva
Computing Toric Degenerations of Flag Varieties
247(36)
Lara Bossinger
Sara Lamboglia
Kalina Mincheva
Fatemeh Mohammadi
The Multidegree of the Multi-Image Variety
283(14)
Laura Escobar
Allen Knutson
The Convex Hull of Two Circles in R3
297(24)
Evan D. Nash
Ata Firat Pir
Frank Sottile
Li Ying
The Hilbert Scheme of 11 Points in A3 is Irreducible
321(32)
Theodosios Douvropoulos
Joachim Jelisiejew
Bernt Ivar Utstøl Nødland
Zach Teitler
Towards a Tropical Hodge Bundle
353(16)
Bo Lin
Martin Ulirsch
Cellular Sheaf Cohomology in Polymake
369(18)
Lars Kastner
Kristin Shaw
Anna-Lena Winz
Index 387
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