Français
Nash blowup fails to resolve singularities in dimensions four and higher
Multi angle
Authors : Leyton-Álvarez, Maximiliano (Author of the conference)
CIRM (Publisher )
14B05 - Singularities
14E15 - Global theory and resolution of singularities
14M25 - Toric varieties, Newton polyhedra
CIRM (Publisher )
Loading the player...
|
Abstract :
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.
MSC Codes : 14B05 - Singularities
14E15 - Global theory and resolution of singularities
14M25 - Toric varieties, Newton polyhedra
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 14/02/2025 Conference Date : 31/01/2025 Subseries : Research School arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:34:20 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-01-31_Leyton-Alvarez.mp4 
|
Information on the Event
Event Title : Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1Event Organizers : Fantini, Lorenzo ; Pełka, Tomasz ; Pichon, Anne ; Rond, Guillaume Dates : 27/01/2025 - 31/01/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3267.html
Citation Data
DOI : 10.24350/CIRM.V.20293803Cite this video as: Leyton-Álvarez, Maximiliano (2025). Nash blowup fails to resolve singularities in dimensions four and higher. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20293803 URI : http://dx.doi.org/10.24350/CIRM.V.20293803 |
See Also
- [Multi angle] Resolution of foliated varieties by torus actions / Author of the conference Wlodarczyk , Jaroslaw.
- [Multi angle] Semialgebraic Whitney partition of unity / Author of the conference Valette, Anna.
- [Multi angle] Semi-homogeneous bundles, Fourier-Mukai transforms, and tropicalization / Author of the conference Ulirsch, Martin.
- [Multi angle] Tropical and logarithmic techniques for the study of Milnor fibers - Lecture 3 / Author of the conference Popescu-Pampu, Patrick.
- [Multi angle] Tropical and logarithmic techniques for the study of Milnor fibers - lecture 2 / Author of the conference Popescu-Pampu, Patrick.
- [Multi angle] Tropical and logarithmic techniques for the study of Milnor fibers - Lecture 1 / Author of the conference Popescu-Pampu, Patrick.
- [Multi angle] Specialization techniques and stable rationality - Lecture 3 / Author of the conference Ottem, John Christian.
- [Multi angle] Specialization techniques and stable rationality - Lecture 2 - the motivic volume formula of Nicaise-Shinder / Author of the conference Ottem, John Christian.
- [Multi angle] Specialization techniques and stable rationality - Lecture 1 / Author of the conference Ottem, John Christian.
- [Multi angle] Piecewise linear geometry and spaces of valuations / Author of the conference Loeser, François.
- [Multi angle] A universal motivic invariant of birational maps / Author of the conference Lin, Hsueh-Yung.
- [Multi angle] A singular path through toric geometry / Author of the conference Gonzalez Perez, Pedro Daniel.
- [Multi angle] Teissier singularities / Author of the conference Mourtada, Hussein.
- [Multi angle] Motivic invariants via non-archimedean geometry - Lecture 3 / Author of the conference Forey, Arthur.
- [Multi angle] Motivic invariants via non-archimedean geometry - Lecture 2 / Author of the conference Forey, Arthur.
- [Multi angle] Motivic invariants via non-archimedean geometry - Lecture 1 / Author of the conference Forey, Arthur.
- [Multi angle] Motivic Milnor fibre and logarithmic geometry / Author of the conference Fichou, Goulwen.
- [Multi angle] Generic theta divisors / Author of the conference Budur, Nero.
- [Multi angle] The KSBA moduli space of stable log Calabi-Yau surfaces / Author of the conference Argüz, Hülya.
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
Imagette Video
