dc.contributor.advisor | Oppermann, Steffen | |
dc.contributor.author | Malkenes, Johannes | |
dc.date.accessioned | 2021-09-15T17:28:53Z | |
dc.date.available | 2021-09-15T17:28:53Z | |
dc.date.issued | 2021 | |
dc.identifier | no.ntnu:inspera:77742017:14041766 | |
dc.identifier.uri | https://hdl.handle.net/11250/2778392 | |
dc.description.abstract | La A vær en abelsk kategori, og H vær det abelske hjertet til en t-struktur
over Db(A). Vi vil da vise at vi alltid kan konstruere en "realization
functor" Db(H) -> Db(A), som restriktert til H vil være lik identitetsfunktoren.
Videre vil vi gi tilstrekkelige kriterier for at funktoren vil bli en
derivert ekvivalens. Til slutt vil vi bruke denne funktoren til å konstruere
en derivert ekvivalens fra HRS-tiltingen Db(B) til Db(A) | |
dc.description.abstract | Let A be an abelian category, and H be the abelian heart of a t-structure
over Db(A). We show that we can always construct a realization functor
Db(H) -> Db(A), whose restriction on H is equal to the identity functor.
We will further give suffcient conditions for this functor to be a derived
equivalence. Lastly, we will use the realization functor to construct the
derived equivalence from the HRS-tilting Db(B) to Db(A) | |
dc.language | eng | |
dc.publisher | NTNU | |
dc.title | Realization functors and HRS-tilting | |
dc.type | Master thesis | |