Tommaso de Fernex, Christopher D. Hacon
Abstract
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Abstract In this paper we generalize the definitions of singularities of pairs and multiplier ideal sheaves to pairs on arbitrary normal varieties, without any assumption on the variety being ℚ-Gorenstein or the pair being log ℚ-Gorenstein. The main features of the theory extend to this setting in a natural way.
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Abstract In this paper we generalize the definitions of singularities of pairs and multiplier ideal sheaves to pairs on arbitrary normal varieties, without any assumption on the variety being ℚ-Gorenstein or the pair being log ℚ-Gorenstein. The main features of the theory extend to this setting in a natural way.
Key concepts: Mathematics, Gravitational singularity, Pure mathematics, Variety (cybernetics), Multiplier (economics), Ideal (ethics), Algebra over a field, Mathematical analysis