An example of Fourier--Mukai partners of minimal elliptic surfaces
Abstract
Let $X$ and $Y$ be smooth projective varieties over $\C$. We say that $X$ and $Y$ are \emph{D-equivalent} (or, $X$ is a \emph{Fourier--Mukai partner} of $Y$) if their derived categories of bounded complexes of coherent sheaves are equivalent as triangulated categories. The aim of this short note is to find an example of mutually D-equivalent but not isomorphic relatively minimal elliptic surfaces.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- December 2003
- DOI:
- arXiv:
- arXiv:math/0312499
- Bibcode:
- 2003math.....12499U
- Keywords:
-
- Algebraic Geometry;
- 14J27: 14E26