Equivariant Derived Categories Associated to a Sum of Potentials
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 constru...
| Main Author: | |
|---|---|
| Other Authors: | |
| Language: | en_US |
| Published: |
University of Oregon
2017
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1794/22628 |
| id |
ndltd-uoregon.edu-oai-scholarsbank.uoregon.edu-1794-22628 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-uoregon.edu-oai-scholarsbank.uoregon.edu-1794-226282018-12-20T05:48:34Z Equivariant Derived Categories Associated to a Sum of Potentials Lim, Bronson Polishchuk, Alexander Algebraic geometry Derived categories 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. 2017-09-06T21:41:39Z 2017-09-06T21:41:39Z 2017-09-06 Electronic Thesis or Dissertation http://hdl.handle.net/1794/22628 en_US All Rights Reserved. University of Oregon |
| collection |
NDLTD |
| language |
en_US |
| sources |
NDLTD |
| topic |
Algebraic geometry Derived categories |
| spellingShingle |
Algebraic geometry Derived categories Lim, Bronson Equivariant Derived Categories Associated to a Sum of Potentials |
| description |
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. |
| author2 |
Polishchuk, Alexander |
| author_facet |
Polishchuk, Alexander Lim, Bronson |
| author |
Lim, Bronson |
| author_sort |
Lim, Bronson |
| title |
Equivariant Derived Categories Associated to a Sum of Potentials |
| title_short |
Equivariant Derived Categories Associated to a Sum of Potentials |
| title_full |
Equivariant Derived Categories Associated to a Sum of Potentials |
| title_fullStr |
Equivariant Derived Categories Associated to a Sum of Potentials |
| title_full_unstemmed |
Equivariant Derived Categories Associated to a Sum of Potentials |
| title_sort |
equivariant derived categories associated to a sum of potentials |
| publisher |
University of Oregon |
| publishDate |
2017 |
| url |
http://hdl.handle.net/1794/22628 |
| work_keys_str_mv |
AT limbronson equivariantderivedcategoriesassociatedtoasumofpotentials |
| _version_ |
1718804382781276160 |