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Stability and Fourier-Mukai Transforms on Higher Dimensional Elliptic Fibrations by Chuang, Wu-yen; Lo, Jason is a scholarly article available to read on EtoBox.

What is Stability and Fourier-Mukai Transforms on Higher Dimensional Elliptic Fibrations about?

We consider elliptic fibrations with arbitrary base dimensions, and generalise previous work by the second author. In particular, we check universal closedness for the moduli of semistable objects with respect to a polynomial stability that reduces to PT-stability on threefolds. We also show openness of this polynomial stability. On the other hand, we write down criteria under which certain 2-term polynomial semistable complexes are mapped to torsion-free semistable sheaves under a Fourier-Mukai transform. As an application, we construct an open immersion from a moduli of complexes to a moduli of Gieseker stable sheaves on higher dimensional elliptic fibrations.

Author

Chuang, Wu-yen; Lo, Jason

Published

2013

Language

EN