Constructs combinatorial deformation functor Def_Σ isomorphic to locally trivial deformations of toric variety X_Σ under hypotheses on completeness, smoothness in codim 2 and Q-factoriality in codim 3, enabling explicit computations and classification of unobstructed cases.
Smoothness of the universal deformation space of compact C alabi- Y au manifolds and its P etersson- W eil metric
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Locally Trivial Deformations of Toric Varieties
Constructs combinatorial deformation functor Def_Σ isomorphic to locally trivial deformations of toric variety X_Σ under hypotheses on completeness, smoothness in codim 2 and Q-factoriality in codim 3, enabling explicit computations and classification of unobstructed cases.