Geometry of singular spaces and maps / Géométrie des espaces et applications singuliers

Collection Geometry of singular spaces and maps / Géométrie des espaces et applications singuliers

Organisateur(s) Brasselet, Jean-Paul ; Pichon, Anne

Date(s) 02/03/2015 - 06/03/2015

URL associée https://conferences.cirm-math.fr/1478.html

00:00:00 / 00:00:00

3 5

Chapitres

Invariants of determinantal varieties

De Maria Aparecida Soares Ruas

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.

Informations sur la vidéo

Date de captation 04/03/2015
Date de publication 16/03/2015
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.18718903
Citer cette vidéo Ruas, Maria Aparecida Soares (04/03/2015). Invariants of determinantal varieties. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18718903
URL https://dx.doi.org/10.24350/CIRM.V.18718903

Domaine(s)

Géométrie algébrique

Bibliographie

Frühbis-Krüger, A., & Zach, M. (2015). On the vanishing topology of isolated Cohen-Macaulay codimension 2 singularities. <arXiv:1501.01915> - http://arxiv.org/abs/1501.01915v1
Gaffney, T., & Rangachev, A. (2014). Pairs of modules and determinantal isolated singularities. <arXiv:1501.00201> - http://arxiv.org/abs/1501.00201v1
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. <arXiv:1405.3403> - http://arxiv.org/abs/1405.3403v1
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

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