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15 papers · 1 filter
Reliably distinguishing states in qutrit channels using one-way LOCC
Christopher King, Daniel Matysiak
We present numerical evidence showing that any three-dimensional subspace of C^3 \otimes C^n has an orthonormal basis which can be reliably distinguished using one-way LOCC, where…
A Refinement of the Ray-Singer Torsion
Maxim Braverman, Thomas Kappeler
This is a short version of math.DG/0505537. For an acyclic representation of the fundamental group of a compact oriented odd-dimensional manifold, which is close enough to a unitar…
Cluster categories and duplicated algebras
Ibrahim Assem, Thomas Brüstle, Ralf Schiffler +1
Let be a hereditary algebra. We construct a fundamental domain for the cluster category of inside the category of modules over the duplicated algebra of . We t…
The Multiplicity Polar Theorem and Isolated Singularities
Terence Gaffney
Using invariants from commutative algebra to count geometric objects is a basic idea in singularities. For example, the multiplicity of an ideal is used to count points of intersec…
On the minimal free resolution of the universal ring for resolutions of length two
Andrew R. Kustin, Jerzy M. Weyman
Hochster established the existence of a commutative noetherian ring and a universal resolution of the form s…
On the number of subrepresentations of a general quiver representation
Harm Derksen, Aidan Schofield, Jerzy Weyman
It is well-known that the intersection multiplicities of Schubert classes in the Grassmanian are Littlewood-Richardson coefficients. We generalize this statement in the context of…