On deformations of maps and curve singularities
| dc.creator | Greuel, G. -M. | |
| dc.creator | Le, Cong Trinh | |
| dc.date | 2007-07-29 | |
| dc.date | 2008-05-29 | |
| dc.date.accessioned | 2026-07-07T09:41:10Z | |
| dc.date.available | 2026-07-07T09:41:10Z | |
| dc.description | We study several deformation functors associated to the normalization of a reduced curve singularity $(X,0) \subset (\c^n,0)$. The main new results are explicit formulas, in terms of classical invariants of (X,0), for the cotangent cohomology groups $T^i, i = 0,1,2,$ of these functors. Thus we obtain precise statements about smoothness and dimension of the corresponding local moduli spaces. We apply the results to obtain explicit formulas resp. estimates for the $\hoa{A}_e$-codimension of a parametrized curve singularity, where $\hoa{A}_e$ denotes the Mather-Wall group of left-right equivalence. | |
| dc.description | 19 pages; few remarks, a reference, an item of a corollary added; a proposition revised. To be published in Manuscripta Mathematica 2008 | |
| dc.identifier | https://arxiv.org/abs/0707.4290 | |
| dc.identifier | http://arxiv.org/abs/0707.4290 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161735 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14B05, 14B07, 14B10, 14B12 | |
| dc.title | On deformations of maps and curve singularities | |
| dc.type | text |