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On the unirationality of Hurwitz spaces
Multi angle
Authors : Tanturri, Fabio (Author of the conference)
CIRM (Publisher )
13D02 - Syzygies, resolutions, complexes
14H10 - Families, moduli (algebraic)
14M20 - Rational and unirational varieties
14Q05 - Computational aspects of algebraic curves
CIRM (Publisher )
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Abstract :
In this talk I will discuss about the unirationality of the Hurwitz spaces $H_{g,d}$ parametrizing d-sheeted branched simple covers of the projective line by smooth curves of genus $g$. I will summarize what is already known and formulate some questions and speculations on the general behaviour. I will then present a proof of the unirationality of $H_{12,8}$ and $H_{13,7}$, obtained via liaison and matrix factorizations. This is part of two joint works with Frank-Olaf Schreyer.
MSC Codes : 13D02 - Syzygies, resolutions, complexes
14H10 - Families, moduli (algebraic)
14M20 - Rational and unirational varieties
14Q05 - Computational aspects of algebraic curves
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 02/02/17 Conference Date : 26/01/17 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:54:44 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-01-26_Tanturri.mp4 
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Information on the Event
Event Title : Algebraic geometry and complex geometry / Géométrie algébrique et géométrie complexeEvent Organizers : Broustet, Amaël ; Pasquier, Boris Dates : 23/01/2017 - 27/01/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1593.html
Citation Data
DOI : 10.24350/CIRM.V.19115403Cite this video as: Tanturri, Fabio (2017). On the unirationality of Hurwitz spaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19115403 URI : http://dx.doi.org/10.24350/CIRM.V.19115403 |
See Also
- [Multi angle] Liouville's inequality for transcendental points on projective varieties / Author of the conference Gasbarri, Carlo.
- [Multi angle] Stable rationality - Lecture 3 / Author of the conference Pirutka, Alena.
- [Multi angle] Stable rationality - Lecture 2 / Author of the conference Pirutka, Alena.
- [Post-edited] Stable rationality - Lecture 1 / Author of the conference Pirutka, Alena.
Bibliography
- Schreyer, F.-O., & Tanturri, F. (2016). Matrix factorizations and curves in $\mathbb{P}^4$.
- Schreyer, F.-O., & Tanturri, F. (work in progress). Unirational Hurwitz spaces and liaison -
