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/