The Mukai system of rank two and genus two
The Mukai system of rank two and genus two
Dokument öffnen (791.3KB)Art der Hochschulschrift
DissertationPrüfungsdatum
10.11.2020Datum der Veröffentlichung
19.11.2020Erstgutachter
Huybrechts, DanielZweitgutachter
Oberdieck, GeorgMetadaten
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Inhalt
We study the Mukai system $M rightarrow mathbb{P}^5$ of rank two and genus two from three different points of view. We compute the degrees and multiplicities of the irreducible components of the fibers over non-reduced curves. We provide examples of algebraically coisotropic and constant cycle subvarieties in $M$. We find all smooth birational models of $M$ in a sequence of flops.
Schlagwörter
Hyperkähler Mannigfaltigkeiten, Lagrangsche Faserung, Mukai System, Hitchin System, Nilpotenter Kegel, Hyperkähler manifolds, Lagrangian fibration, Nilpotent cone
Klassifikation (DDC)
510 MathematikHellmann, Isabell: The Mukai system of rank two and genus two. - Bonn, 2020. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5-60344
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5-60344
@phdthesis{handle:20.500.11811/8788,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5-60344,
author = {{Isabell Hellmann}},
title = {The Mukai system of rank two and genus two},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2020,
month = nov,
note = {We study the Mukai system $M rightarrow mathbb{P}^5$ of rank two and genus two from three different points of view. We compute the degrees and multiplicities of the irreducible components of the fibers over non-reduced curves. We provide examples of algebraically coisotropic and constant cycle subvarieties in $M$. We find all smooth birational models of $M$ in a sequence of flops.},
url = {https://hdl.handle.net/20.500.11811/8788}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5-60344,
author = {{Isabell Hellmann}},
title = {The Mukai system of rank two and genus two},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2020,
month = nov,
note = {We study the Mukai system $M rightarrow mathbb{P}^5$ of rank two and genus two from three different points of view. We compute the degrees and multiplicities of the irreducible components of the fibers over non-reduced curves. We provide examples of algebraically coisotropic and constant cycle subvarieties in $M$. We find all smooth birational models of $M$ in a sequence of flops.},
url = {https://hdl.handle.net/20.500.11811/8788}
}
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