2013Advances in GeometryOpen access

G-Fano threefolds, II

Yuri Gennadievich Prokhorov

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Abstract

Abstract We classify Fano threefolds with only Gorenstein terminal singularities and Picard number greater than 1, satisfying the additional assumption that the G-invariant part of the Weil divisor class group is of rank 1 with respect to an action of some group G.

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Abstract We classify Fano threefolds with only Gorenstein terminal singularities and Picard number greater than 1, satisfying the additional assumption that the G-invariant part of the Weil divisor class group is of rank 1 with respect to an action of some group G.

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Available abstract

Abstract We classify Fano threefolds with only Gorenstein terminal singularities and Picard number greater than 1, satisfying the additional assumption that the G-invariant part of the Weil divisor class group is of rank 1 with respect to an action of some group G.

Key concepts: Fano plane, Mathematics, Picard group, Divisor (algebraic geometry), Gravitational singularity, Pure mathematics, Rank (graph theory), Invariant (physics)

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