Embedding of Selmer group associated to relative Frobenius morphism of an abelian variety into the group of homomorphism of vector bundles
In this thesis we show that the Selmer group of the relative Frobenius morphism of an abelian variety defined on the function field of a projective and smooth curve $C$ over a finite field $k_{0}$ of characteristic $p>0$ can be embedded into the group of homomorphisms between two natural vector b...
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| Format: | Thesis |
| Language: | English |
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2022
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| _version_ | 1826309133832290304 |
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| author | Wu, Z |
| author2 | Rössler, D |
| author_facet | Rössler, D Wu, Z |
| author_sort | Wu, Z |
| collection | OXFORD |
| description | In this thesis we show that the Selmer group of the relative Frobenius morphism of an abelian variety defined on the function field of a projective and smooth curve $C$ over a finite field $k_{0}$ of characteristic $p>0$ can be embedded into the group of homomorphisms between two natural vector bundles over $C$. |
| first_indexed | 2024-03-07T07:29:40Z |
| format | Thesis |
| id | oxford-uuid:f1359e44-542e-492c-9c6a-188e763f42b8 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:29:40Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | oxford-uuid:f1359e44-542e-492c-9c6a-188e763f42b82022-12-15T16:17:04ZEmbedding of Selmer group associated to relative Frobenius morphism of an abelian variety into the group of homomorphism of vector bundlesThesishttp://purl.org/coar/resource_type/c_db06uuid:f1359e44-542e-492c-9c6a-188e763f42b8Schemes (Algebraic geometry)EnglishHyrax Deposit2022Wu, ZRössler, DNewton, JMinhyong, KIn this thesis we show that the Selmer group of the relative Frobenius morphism of an abelian variety defined on the function field of a projective and smooth curve $C$ over a finite field $k_{0}$ of characteristic $p>0$ can be embedded into the group of homomorphisms between two natural vector bundles over $C$. |
| spellingShingle | Schemes (Algebraic geometry) Wu, Z Embedding of Selmer group associated to relative Frobenius morphism of an abelian variety into the group of homomorphism of vector bundles |
| title | Embedding of Selmer group associated to relative Frobenius morphism of an abelian variety into the group of homomorphism of vector bundles |
| title_full | Embedding of Selmer group associated to relative Frobenius morphism of an abelian variety into the group of homomorphism of vector bundles |
| title_fullStr | Embedding of Selmer group associated to relative Frobenius morphism of an abelian variety into the group of homomorphism of vector bundles |
| title_full_unstemmed | Embedding of Selmer group associated to relative Frobenius morphism of an abelian variety into the group of homomorphism of vector bundles |
| title_short | Embedding of Selmer group associated to relative Frobenius morphism of an abelian variety into the group of homomorphism of vector bundles |
| title_sort | embedding of selmer group associated to relative frobenius morphism of an abelian variety into the group of homomorphism of vector bundles |
| topic | Schemes (Algebraic geometry) |
| work_keys_str_mv | AT wuz embeddingofselmergroupassociatedtorelativefrobeniusmorphismofanabelianvarietyintothegroupofhomomorphismofvectorbundles |