t-stabilities and t-structures on triangulated categories
2004
We suggest a?new concept of t-stability in a?triangulated category. It generalizes the stability data introduced by Bridgeland?[6]. We study some links between t-stabilities and t-structures and obtain a?complete classification of t-stabilities and bounded t-structures on the derived categories of coherent sheaves on the projective line and on an elliptic curve.
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