The polyhedral Hodge number $h^{2,1}$ and vanishing of obstructions
Altmann, Klaus ; van Straten, Duco
Tohoku Math. J. (2), Tome 52 (2000) no. 4, p. 579-602 / Harvested from Project Euclid
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We prove a vanishing theorem for the Hodge number $h^{2,1}$ of projective toric varieties provided by a certain class of polytopes. We explain how this Hodge number also gives information about the deformation theory of the toric Gorenstein singularity derived from the same polytope. In particular, the vanishing theorem for $h^{2,1}$ implies that these deformations are unobstructed.
Publié le : 2000-05-14
Classification:  14M25,  52B20 
@article{1178207756,
     author = {Altmann, Klaus and van Straten, Duco},
     title = {The polyhedral Hodge number $h^{2,1}$ and vanishing of obstructions},
     journal = {Tohoku Math. J. (2)},
     volume = {52},
     number = {4},
     year = {2000},
     pages = { 579-602},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207756}
}

Altmann, Klaus; van Straten, Duco. The polyhedral Hodge number $h^{2,1}$ and vanishing of obstructions. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp.  579-602. http://gdmltest.u-ga.fr/item/1178207756/