dc.contributor.advisor |
Polishchuk, Alexander |
|
dc.contributor.author |
Lim, Bronson |
|
dc.date.accessioned |
2017-09-06T21:41:39Z |
|
dc.date.available |
2017-09-06T21:41:39Z |
|
dc.date.issued |
2017-09-06 |
|
dc.identifier.uri |
http://hdl.handle.net/1794/22628 |
|
dc.description.abstract |
We construct a semi-orthogonal decomposition for the equivariant derived category of a hypersurface associated to the sum of two potentials. More specifically, if $f,g$ are two homogeneous poynomials of degree $d$ defining smooth Calabi-Yau or general type hypersurfaces in $\mathbb{P}^n$, we construct a semi-orthogonal decomposition of $D[V(f\oplus g)/\mu_d]$. Moreover, every component of the semi-orthogonal decomposition is explicitly given by Fourier-Mukai functors. |
en_US |
dc.language.iso |
en_US |
|
dc.publisher |
University of Oregon |
|
dc.rights |
All Rights Reserved. |
|
dc.subject |
Algebraic geometry |
en_US |
dc.subject |
Derived categories |
en_US |
dc.title |
Equivariant Derived Categories Associated to a Sum of Potentials |
|
dc.type |
Electronic Thesis or Dissertation |
|
thesis.degree.name |
Ph.D. |
|
thesis.degree.level |
doctoral |
|
thesis.degree.discipline |
Department of Mathematics |
|
thesis.degree.grantor |
University of Oregon |
|