Français
Invariants of determinantal varieties
Post-edited
Authors : Ruas, Maria Aparecida Soares (Author of the conference)
CIRM (Publisher )
14B05 - Singularities
32S05 - Local singularities [See also 14J17]
CIRM (Publisher )
Abstract :
We review basic results on determinantal varieties and show how to apply methods of singularity theory of matrices to study their invariants and geometry. The Nash transformation and the Euler obstruction of Essentially Isolated Determinantal Singularities (EIDS) are discussed. To illustrate the results we compute the Euler obstruction of corank one EIDS with non isolated singularities.
MSC Codes : 14B05 - Singularities
32S05 - Local singularities [See also 14J17]
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 16/03/2015 Conference Date : 04/03/2015 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : QuickTime (.mov) Video Time : 00:51:15 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-03-04_Ruas.mp4 
|
Information on the Event
Event Title : Geometry of singular spaces and maps / Géométrie des espaces et applications singuliersEvent Organizers : Brasselet, Jean-Paul ; Pichon, Anne Dates : 02/03/15 - 06/03/15 Event Year : 2015 Event URL : https://conferences.cirm-math.fr/1478.html
Citation Data
DOI : 10.24350/CIRM.V.18718903Cite this video as: Ruas, Maria Aparecida Soares (2015). Invariants of determinantal varieties. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18718903 URI : http://dx.doi.org/10.24350/CIRM.V.18718903 |
Bibliography
- Frühbis-Krüger, A., & Zach, M. (2015). On the vanishing topology of isolated Cohen-Macaulay codimension 2 singularities.
- Gaffney, T., & Rangachev, A. (2014). Pairs of modules and determinantal isolated singularities.
- Gusein-Zade, S.M., & Ebeling, W. (2009). On indices of 1-forms on determinantal singularities. Singularities and Applications, 267(1), 119-131 - http://dx.doi.org/10.1134/s0081543809040099
- Nutio-Ballesteros, J.J., Orefice Okamoto, B., & Tomazella, J.N. (2014). Equisingularity of families of isolated determinantal singularities.
- Nutio-Ballesteros, J.J., Orefice Okamoto, B., & Tomazella, J.N. (2013). The vanishing Euler characteristic of an isolated determinantal singullarity, Israel Journal of Mathematics, 197(1), 475-495 - http://dx.doi.org/10.1007/s11856-012-0188-8
Imagette Video
Abstract
