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math.SG2015★ 2 cited
Contraction of Hamiltonian -spaces
Joachim Hilgert, Christopher Manon, Johan Martens
In the spirit of recent work of Harada-Kaveh and Nishinou-Nohara-Ueda, we study the symplectic geometry of Popov's horospherical degenerations of complex algebraic varieties with t…
math.SG2008★ 18 cited
The Toric Geometry of Triangulated Polygons in Euclidean Space
Benjamin Howard, Christopher Manon, John Millson
Speyer and Sturmfels [SpSt] associated Gröbner toric degenerations $\mathrm{Gr}_2(\C^n)^{\tree}$ of $\mathrm{Gr}_2(\C^n)$ to each trivalent tree $\tree$ with leaves. These dege…