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

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
Settore MAT/03 - Geometria
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/11384/95430
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