37 citations · 51 across the 7 of their papers we have counts for
4 papers · 1 filter
On cyclic strong exceptional collections of line bundles on surfaces
Alexey Elagin, Junyan Xu, Shizhuo Zhang
We study exceptional collections of line bundles on surfaces. We prove that any full cyclic strong exceptional collection of line bundles on a rational surface is an augmentation i…
Thick subcategories on curves
Alexey Elagin, Valery A. Lunts
We classify thick subcategories for smooth projective curves over an algebraically closed field.
Calculating dimension of triangulated categories: path algebras, their tensor powers and orbifold projective lines
Alexey Elagin
This is a companion paper of arXiv:1901.09461, where different notions of dimension for triangulated categories are discussed. Here we compute dimensions for some examples of trian…
Derived categories of coherent sheaves on some zero-dimensional schemes
Alexey Elagin, Valery A. Lunts
Let be the second infinitesimal neighborhood of a closed point in -dimensional affine space. In this note we study , the bounded derived category of cohere…