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 examples from algebraic geometry.

Spherical subcategories in algebraic geometry

Hochenegger A.;
2016-01-01

Abstract

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 examples from algebraic geometry.
2016
spherelike object
spherical object
spherical subcategory
Triangulated category
twist functor
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1142438
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