Deformations of semi-smooth varieties
| Autor: | Fantechi, Barbara, Franciosi, Marco, Pardini, Rita |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | For a singular variety X, an essential step to determine its smoothability and study its deformations is the understanding of the tangent sheaf and of the sheaf T^1_X:=ext^1(Omega_X,O_X). A variety is semi-smooth if its singularities are \'etale locally the product of a double crossing point (uv=0) or a pinch point (u^2-v^2w=0) with affine space; equivalently, if it can be obtained by gluing a smooth variety along a smooth divisor via an involution with smooth quotient. Our main result is the explicit computation of the tangent sheaf and the sheaf T^1_X for a semi-smooth variety X in terms of the gluing data. Comment: 23 pages. Reference updated. Comments are still welcome |
| Databáze: | arXiv |
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