We show that the dimension of the derived category of an elliptic curve or a tubular weighted projective line is one. We give explicit generators realizing this number, and show that they are in a certain sense minimal.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm119-1-10,
author = {Steffen Oppermann},
title = {The dimension of the derived category of elliptic curves and tubular weighted projective lines},
journal = {Colloquium Mathematicae},
volume = {120},
year = {2010},
pages = {143-156},
zbl = {1193.18008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm119-1-10}
}
Steffen Oppermann. The dimension of the derived category of elliptic curves and tubular weighted projective lines. Colloquium Mathematicae, Tome 120 (2010) pp. 143-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm119-1-10/