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Generic theta divisors
Multi angle
Authors : Budur, Nero (Author of the conference)
CIRM (Publisher )
14B05 - Singularities
14B12 - Local deformation theory, Artin approximation, etc., See also {13B40,13D10}
14H42 - "Theta functions; Schottky problem, See also {14K25, 32G20}"
CIRM (Publisher )
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Abstract :
A principle governing deformation theory with cohomology constraints in characteristic zero, generalizing Deligne's deformation theory principle, was developed together with B. Wang, M. Rubio in terms of dg Lie modules, and, more generally, $\text{L}\infty$ modules. An application of this theory is that for a generic compact Riemann surface the theta function is at every point on the Jacobian equal to its first non-zero Taylor term, up to a holomorphic change of local coordinates and multiplication by a local holomorphic unit.
Keywords : theta divisor; Brill-Noether loci; resolution of singularities
MSC Codes : Keywords : theta divisor; Brill-Noether loci; resolution of singularities
14B05 - Singularities
14B12 - Local deformation theory, Artin approximation, etc., See also {13B40,13D10}
14H42 - "Theta functions; Schottky problem, See also {14K25, 32G20}"
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 14/02/2025 Conference Date : 27/01/2025 Subseries : Research School arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:55:24 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-01-27_Budur.mp4 
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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.20292803Cite this video as: Budur, Nero (2025). Generic theta divisors. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20292803 URI : http://dx.doi.org/10.24350/CIRM.V.20292803 |
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Bibliography
- BUDUR, Nero. Local structure of theta divisors and related loci of generic curves. arXiv preprint arXiv:2311.09250, 2023. - https://doi.org/10.48550/arXiv.2311.09250
Imagette Video
