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arxiv: 1208.4046 · v6 · pith:MDGB7JHJnew · submitted 2012-08-20 · 🧮 math.CT · math.AG· math.RT

Spherical subcategories in algebraic geometry

classification 🧮 math.CT math.AGmath.RT
keywords algebraicgeometryobjectsphericaltriangulatedalgebraappliedcategories
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We study objects in triangulated categories which have a two-dimensional graded endomorphism algebra. Given such an object, we show that there is a unique maximal triangulated subcategory, in which the object is spherical. This general result is then applied to algebraic geometry.

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