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Showing 1 to 2 of 2 for “"log geometry"”.
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Log geometry and extremal contractions
… algebraic varieties. We consider projective log canonical pairs (X,[Delta] A) where the locus Nklt(X,[Delta] A) of maximal singularities of the pair (X,[Delta] A) is nonempty. We show that if Kx[Delta]+ A is not nef then there exists an algebraic curves C, whose normalization is isomorphic to …
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Degenerating abelian varieties via log abelian varieties
… paper [52]. It extends the construction of log Tate curves from [25, §1] to higher dimensions. The approach involves extensive applications of algebraic spaces and higher-dimensional convex geometry to create diverse models for any given split totally degenerate semi-stable abelian variety …