46 citations · 47 across the 7 of their papers we have counts for
12 papers
A moduli interpretation of untwisted binary cubic forms
Rajesh S. Kulkarni, Charlotte Ure
We give a moduli interpretation to the quotient of (nondegenerate) binary cubic forms with respect to the natural -action on the variables. In particular, we show that…
The minimal model program for b-log canonical divisors and applications
Daniel Chan, Kenneth Chan, Louis de Thanhoffer de Völcsey +8
We discuss the minimal model program for b-log varieties, which is a pair of a variety and a b-divisor, as a natural generalization of the minimal model program for ordinary log va…
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…
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…
Pfaffian quartic surfaces and representations of Clifford algebras
Emre Coskun, Rajesh S. Kulkarni, Yusuf Mustopa
Given a nondegenerate ternary form of degree 4 over an algebraically closed field of characteristic zero, we use the geometry of K3 surfaces and van den Bergh's…