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Splice type surface singularities and their local tropicalizations
Multi angle
Authors : Cueto, Maria Angelica (Author of the conference)
CIRM (Publisher )
14B05 - Singularities
14M25 - Toric varieties, Newton polyhedra
32S05 - Local singularities [See also 14J17]
57M15 - Relations with graph theory, See also {05Cxx}
14T90 - Applications of tropical geometry
CIRM (Publisher )
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Abstract :
Splice type surface singularities were introduced by Neumann and Wahl as a generalization of the class of Pham-Brieskorn-Hamm complete intersections of dimension two. Their construction depends on a weighted graph with no loopscalled a splice diagram. In this talk, I will report on joint work with Patrick Popescu-Pampu and Dmitry Stepanov (arXiv: 2108.05912) that sheds new light on these singularities via tropical methods, reproving some of Neumann and Wahl'searlier results on these singularities, and showings that splice type surface singularities are Newton non-degenerate in the sense of Khovanskii.
Keywords : surface singularities; complete intersection singularities; tropical geometry; Newton non-degeneracy
MSC Codes : Keywords : surface singularities; complete intersection singularities; tropical geometry; Newton non-degeneracy
14B05 - Singularities
14M25 - Toric varieties, Newton polyhedra
32S05 - Local singularities [See also 14J17]
57M15 - Relations with graph theory, See also {05Cxx}
14T90 - Applications of tropical geometry
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 10/12/2021 Conference Date : 25/11/2021 Subseries : Research talks arXiv category : Algebraic Geometry ; Analysis of PDEs Mathematical Area(s) : Combinatorics ; Geometry ; Algebraic & Complex Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 01:00:06 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-11-25_Angelica.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair 2021 - Conference: Faces of Singularity Theory / Chaire Jean-Morlet 2021 - Conférence : Visages de la théorie des singularitésEvent Organizers : Fernandez de Bobadilla, Javier ; Pichon, Anne ; Mann, Etienne Dates : 22/11/2021 - 26/11/2021 Event Year : 2021 Event URL : https://www.chairejeanmorlet.com/2571.html
Citation Data
DOI : 10.24350/CIRM.V.19846703Cite this video as: Cueto, Maria Angelica (2021). Splice type surface singularities and their local tropicalizations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19846703 URI : http://dx.doi.org/10.24350/CIRM.V.19846703 |
See Also
- [Multi angle] Functorial desingularization by torus actions / Author of the conference Wlodarczyk, Jaroslaw.
- [Multi angle] Global smoothings of toroidal crossing varieties / Author of the conference Ruddat, Helge.
- [Multi angle] Motivic, logarithmic and topological Milnor fibrations / Author of the conference Fichou, Goulwen.
Bibliography
- CUETO, Maria Angelica, POPESCU-PAMPU, Patrick, et STEPANOV, Dmitry. Local tropicalizations of splice type surface singularities. arXiv preprint arXiv:2108.05912, 2021. - https://arxiv.org/abs/2108.05912
- NEUMANN, Walter D. et WAHL, Jonathan. Complete intersection singularities of splice type as universal abelian covers. Geometry & Topology, 2005, vol. 9, no 2, p. 699-755. - http://dx.doi.org/10.2140/gt.2005.9.699
- NEUMANN, Walter D. et WAHL, Jonathan. Complex surface singularities with integral homology sphere links. Geometry & Topology, 2005, vol. 9, no 2, p. 757-811. - http://dx.doi.org/10.2140/gt.2005.9.757
- POPESCU-PAMPU, Patrick et STEPANOV, Dmitry. Local tropicalization. in Algebraic and combinatorial aspects of Tropical Geometry, Contemp. Math, 2013, vol. 589, p 253-316. -
