The dimension of the derived category of elliptic curves and tubular weighted projective lines

Steffen Oppermann

Colloquium Mathematicae (2010)

  • Volume: 119, Issue: 1, page 143-156
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Steffen Oppermann. "The dimension of the derived category of elliptic curves and tubular weighted projective lines." Colloquium Mathematicae 119.1 (2010): 143-156. <http://eudml.org/doc/283791>.

@article{SteffenOppermann2010,
abstract = {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.},
author = {Steffen Oppermann},
journal = {Colloquium Mathematicae},
keywords = {dimension of triangulated category; hereditary category; weighted projective line},
language = {eng},
number = {1},
pages = {143-156},
title = {The dimension of the derived category of elliptic curves and tubular weighted projective lines},
url = {http://eudml.org/doc/283791},
volume = {119},
year = {2010},
}

TY - JOUR
AU - Steffen Oppermann
TI - The dimension of the derived category of elliptic curves and tubular weighted projective lines
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 1
SP - 143
EP - 156
AB - 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.
LA - eng
KW - dimension of triangulated category; hereditary category; weighted projective line
UR - http://eudml.org/doc/283791
ER -

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