Derived equivalent Hilbert schemes of points on K3 surfaces which are not birational

Ciaran Meachan; Giovanni Mongardi; Kota Yoshioka

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Derived equivalent Hilbert schemes of points on K3 surfaces which are not birational

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arxiv 1802.00281 v3 pith:JNUB4YQ6 submitted 2018-02-01 math.AG

Derived equivalent Hilbert schemes of points on K3 surfaces which are not birational

Ciaran Meachan , Giovanni Mongardi , Kota Yoshioka This is my paper

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keywords hilbertschemesbirationalderivedequivalentpointssurfacesallows

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We provide a criterion for when Hilbert schemes of points on K3 surfaces are birational. In particular, this allows us to generate a plethora of examples of non-birational Hilbert schemes which are derived equivalent.

Derived equivalent Hilbert schemes of points on K3 surfaces which are not birational

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