84 citations · 92 across the 7 of their papers we have counts for
12 papers
Irreducible components of varieties of representations II
Birge Huisgen-Zimmermann, Ian Shipman
The goals of this article are as follows: (1) To determine the irreducible components of the affine varieties parametrizing the representations of with dimension vector d, whe…
The characteristic polynomial of an algebra and representations
Rajesh S. Kulkarni, Yusuf Mustopa, Ian Shipman
In this short note, we give a new sufficient condition for a linear map from a product of copies of a field to endomorphisms of a finite dimensional vector space over the same fiel…
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…
Representation schemes and rigid maximal Cohen-Macaulay modules
Hailong Dao, Ian Shipman
Let k be an algebraically closed field and A be a finitely generated, centrally finite, non- negatively graded (not necessarily commutative) k-algebra. In this note we construct a…
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…