A simple limit for slope instability

Mathematics – Algebraic Geometry

Scientific paper

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11 pages

Scientific paper

Ross and Thomas have shown that subschemes can K-destabilise polarised
varieties, yielding a notion known as slope (in)stability for varieties. Here
we describe a special situation in which slope instability for varieties (for
example of general type) corresponds to a slope instability type condition for
certain bundles, making the computations almost trivial.

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