Nash blowup fails to resolve singularities in dimensions four and higher | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Nash blowup fails to resolve singularities in dimensions four and higher

By Maximiliano Leyton-Álvarez

Appears in collection : Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1

In this talk, we present a recent joint work with Federico Castillo, Daniel Duarte, and Alvaro Liendo, where we show that iterating Nash blowups or normalized Nash blowups does not resolve the singularities of algebraic varieties of dimension 4 or higher over an algebraically closed field of arbitrary characteristic.

Information about the video

Date of recording 31/01/2025
Date of publication 14/02/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20293803
Cite this video Leyton-Álvarez, Maximiliano (31/01/2025). Nash blowup fails to resolve singularities in dimensions four and higher. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20293803
URL https://dx.doi.org/10.24350/CIRM.V.20293803

Domain(s)

Algebraic Geometry

Bibliography

CASTILLO, Federico, DUARTE, Daniel, LEYTON-ÁLVAREZ, Maximiliano, et al. Nash blowup fails to resolve singularities in dimensions four and higher. arXiv preprint arXiv:2409.19767, 2024. - https://doi.org/10.48550/arXiv.2409.19767

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2025

Give feedback