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A note on stability conditions on an elliptic surface

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arxiv 2211.08079 v2 pith:DICXGSO3 submitted 2022-11-15 math.AG

A note on stability conditions on an elliptic surface

classification math.AG
keywords ellipticconditionsfourier-mukaishallstabilitysurfacetransformsduality
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We shall study stability conditions and Fourier-Mukai transforms on an elliptic surface. In particular we shall explain duality of elliptic surfaces by Fourier-Mukai transforms.

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  1. Stability and Fourier-Mukai transforms on an eliptic surface

    math.AG 2026-04 unverdicted novelty 4.0

    Defines a stability condition on coherent sheaves of an elliptic surface and analyzes its behavior under relative Fourier-Mukai transforms.