New answers tagged algebraic-surfaces
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What are the finite étale coverings of a quasi-hyperelliptic surface?
By the Enriques classification in positive characteristic of Bombieri and Mumford, quasi-hyperelliptic surfaces should be regarded as quotients of a product of an elliptic curve and the rational ...
3
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Jacobian fibration of elliptic fibration: basic relations between Enriques invariants
Firstly, note that we cannot expect the relationship between the plurigenera of $X$ and those of $J$ to be particularly easy. For example, passing from $X$ to $J$ can change the Kodaira dimension: If $...
6
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Every elliptic surface contains only finitely many negative self-intersection rational curves?
I am just posting my comment as one answer. Let $\varpi:Z\to \mathbb{P}^1$ be the rational elliptic surface obtained by blowing up the projective plane along base locus of a general pencil of plane ...
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