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

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

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

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

00:00:00 / 00:00:00

3 5

Chapters

Invariants of determinantal varieties

By 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.

Information about the video

Date of recording 04/03/2015
Date of publication 16/03/2015
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18718903
Cite this video 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

Domain(s)

Algebraic Geometry

Bibliography

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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