The polyhedral Hodge number h(2,1) and vanishing of obstructions

Authors
Altmann, K van Straten, D
Citation
K. Altmann et D. Van Straten, The polyhedral Hodge number h(2,1) and vanishing of obstructions, TOHOKU MATH, 52(4), 2000, pp. 579-602
Citations number
16
Categorie Soggetti
Mathematics
Journal title
TOHOKU MATHEMATICAL JOURNAL
ISSN journal
00408735 → ACNP
Volume
52
Issue
4
Year of publication
2000
Pages
579 - 602
Database
ISI
SICI code
0040-8735(200012)52:4<579:TPHNHA>2.0.ZU;2-A
Abstract
We prove a vanishing theorem for the Hedge number h(2,1) of projective tori c varieties provided by a certain class of polytopes. We explain how this H edge number also gives information about the deformation theory of the tori c Gorenstein singularity derived from the same polytope. In particular, the vanishing theorem for h(2,1) implies that these deformations are unobstruc ted.