Orthogonal exceptional collections from $\mathbb{Q}$-Gorenstein degeneration of surfaces

Published 20 May 2020 in math.AG | (2005.09884v1)

Abstract: We consider a surface that admits a $\mathbb{Q}$-Gorenstein degeneration to a cyclic quotient singularity $\frac{1}{dn^{2}(1,dna-1)$.} Under several technical assumptions, we construct $d$ exceptional vector bundles of rank $n$ which are orthogonal to each other.

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Yonghwa Cho

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