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.File in questo prodotto:
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6_spherelike-ag.pdf
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11384_95430.pdf
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