Contents Online
Mathematical Research Letters
Volume 11 (2004)
Number 3
An example of Fourier–Mukai partners of minimal elliptic surfaces
Pages: 371 – 375
DOI: https://dx.doi.org/10.4310/MRL.2004.v11.n3.a9
Author
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.
Published 1 January 2004