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math.AG2020★ 2 cited
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…
math.AG2017★ 5 cited
On exceptional collections of line bundles on weak del Pezzo surfaces
Alexey Elagin, Junyan Xu, Shizhuo Zhang
We study full exceptional collections of line bundles on surfaces. We prove that any full strong exceptional collection of line bundles on a weak del Pezzo surface of degree $\ge 3…