Equivariant Derived Categories Associated to a Sum of Potentials

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.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.identifier.uri	https://hdl.handle.net/1794/22628
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.discipline	Department of Mathematics
thesis.degree.grantor	University of Oregon
thesis.degree.level	doctoral
thesis.degree.name	Ph.D.

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