Displaying similar documents to “Elliptic fibres on Enriques surfaces”

Halphen pencils on weighted Fano threefold hypersurfaces

Ivan Cheltsov, Jihun Park (2009)

Open Mathematics

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On a general quasismooth well-formed weighted hypersurface of degree Σi=14 a i in ℙ(1, a 1, a 2, a 3, a 4), we classify all pencils whose general members are surfaces of Kodaira dimension zero.

Explicit resolutions of double point singularities of surfaces.

Alberto Calabri, Rita Ferraro (2002)

Collectanea Mathematica

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Locally analytically, any isolated double point occurs as a double cover of a smooth surface. It can be desingularized explicitly via the canonical resolution, as it is very well-known. In this paper we explicitly compute the fundamental cycle of both the canonical and minimal resolution of a double point singularity and we classify those for which the fundamental cycle differs from the fiber cycle. Moreover we compute the conditions that a double point singularity imposes to pluricanonical...