The first main theorem on complements: from global to local
classification
🧮 math.AG
keywords
complementsexistencefanolocalmathalg-geomclarifycontractions
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The aim of this paper is to clarify and generalize techniques of works alg-geom/9711024 (see also math.AG/9810097 and math.AG/9901004). Roughly speaking, we prove that for local Fano contractions the existence of complements can be reduced to the existence of complements for lower dimensional projective Fano varieties.
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