84 citations · 92 across the 7 of their papers we have counts for
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math.AG2013★ 3 cited
The McKay correspondence, tilting equivalences, and rationality
Morgan Brown, Ian Shipman
We consider the problem of comparing t-structures under the derived McKay correspondence and for tilting equivalences. We relate the t-structures using certain natural torsion theo…
math.AG2013
Ulrich sheaves and higher-rank Brill-Noether theory
Rajesh Kulkarni, Yusuf Mustopa, Ian Shipman
An Ulrich sheaf on an embedded projective variety is a normalized arithmetically Cohen-Macaulay sheaf with the maximum possible number of independent sections. Ulrich sheaves are i…
math.AG2013
Autoequivalences of derived categories via geometric invariant theory
Daniel Halpern-Leistner, Ian Shipman
We study autoequivalences of the derived category of coherent sheaves of a variety arising from a variation of GIT quotient. We show that these automorphisms are spherical twists,…