84 citations · 92 across the 7 of their papers we have counts for
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Vector bundles whose restriction to a linear section is Ulrich
Rajesh S. Kulkarni, Yusuf Mustopa, Ian Shipman
An Ulrich sheaf on an n-dimensional projective variety X, embedded in a projective space, is a normalized ACM sheaf which has the maximum possible number of global sections. Using…
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…
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…
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,…
A Geometric Approach to Orlov's Theorem
Ian Shipman
A famous theorem of D. Orlov describes the derived bounded category of coherent sheaves on projective hypersurfaces in terms of an algebraic construction called graded matrix facto…
On representation schemes and Grassmanians of finite dimensional algebras and a construction of Lusztig
Ian Shipman
Let I be a finite set and CI be the algebra of functions on I. For a finite dimensional C algebra A with \CI contained in A we show that certain moduli spaces of finite dimsional m…