The dimension of the derived category of elliptic curves and tubular weighted projective lines
Colloquium Mathematicum 119 (2010), 143-156 MSC: Primary 18G20, 18E30; Secondary 16E10, 14H52. DOI: 10.4064/cm119-1-10
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.