Toric hyperkähler varieties.
Hausel, Tamás, Sturmfels, Bernd (2002)
Documenta Mathematica
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Hausel, Tamás, Sturmfels, Bernd (2002)
Documenta Mathematica
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Zhi Lü, Taras Panov (2011)
Open Mathematics
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We extend the construction of moment-angle complexes to simplicial posets by associating a certain T m-space Z S to an arbitrary simplicial poset S on m vertices. Face rings ℤ[S] of simplicial posets generalise those of simplicial complexes, and give rise to new classes of Gorenstein and Cohen-Macaulay rings. Our primary motivation is to study the face rings ℤ[S] by topological methods. The space Z S has many important topological properties of the original moment-angle complex Z K associated...
Perling, Markus (2011)
Documenta Mathematica
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Babson, Eric, Novik, Isabella (2006)
The Electronic Journal of Combinatorics [electronic only]
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Santos, Francisco, Sturmfels, Bernd (2003)
Advances in Geometry
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Feichtner, Eva Maria, Sturmfels, Bernd (2005)
Portugaliae Mathematica. Nova Série
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Shoetsu Ogata (2003)
Annales de l'Institut Fourier
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It is known that generators of ideals defining projective toric varieties of dimension embedded by global sections of normally generated line bundles have degree at most . We characterize projective toric varieties of dimension whose defining ideals must have elements of degree as generators.
Miller, Ezra, Reiner, Victor (2005)
The Electronic Journal of Combinatorics [electronic only]
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Ohsugi, Hidefumi, Hibi, Takayuki (2005)
The Electronic Journal of Combinatorics [electronic only]
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Murai, Satoshi (2009)
The Electronic Journal of Combinatorics [electronic only]
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Duško Jojić (2007)
Publications de l'Institut Mathématique
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