Stability conditions and extremal contractions

By Yukinobu Toda. 2012

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We study extremal contractions from smooth projective varieties via a moduli theoretic approach. In the two dimensional case, we show that any extremal contraction appears as a moduli space of Bridgeland stable objects in the derived category of coherent sheaves. In the three dimensional case, we show that a a similar result holds with respect to conjectural Bridgeland stability conditions.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7b811b32c44f85ec7a76b3e49faa79f3a3599712