46 citations · 47 across the 7 of their papers we have counts for
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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…
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…
The geometry of Ulrich bundles on del Pezzo surfaces
Emre Coskun, Rajesh S. Kulkarni, Yusuf Mustopa
Given a smooth del Pezzo surface of degree we show that a smooth irreducible curve on represents the first Chern class of an Ulrich bu…