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Rank 2 Ulrich bundles on general double plane covers

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arxiv 2010.06290 v2 pith:6YY3THVO submitted 2020-10-13 math.AG

classification math.AG
keywords doublegeneralrankulrichalongbundlebundlescover
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We prove that a double cover of $\mathbb{P}^2$ ramified along a general smooth curve B of degree $2s$, for $s \geq 3$, supports a rank 2 special Ulrich bundle.

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