13 citations · 24 across the 9 of their papers we have counts for
14 papers
Equivariant spaces of matrices of constant corank one
Ada Boralevi, Daniele Faenzi, Dragoş Frăţilă
We study spaces of matrices coming from irreducible representations of reductive groups over an algebraically closed field of characteristic zero and we completely classify those o…
Pencils of singular quadrics of constant rank and their orbits
Ada Boralevi, Emilia Mezzetti
We give a geometric description of singular pencils of quadrics of constant rank, relating them to the splitting type of some naturally associated vector bundles on .…
Quadric surfaces in the Pfaffian hypersurface in
Ada Boralevi, Maria Lucia Fania, Emilia Mezzetti
We study smooth quadric surfaces in the Pfaffian hypersurface in parameterising skew-symmetric matrices of rank at most 4, not intersecting the Grass…
A construction of equivariant bundles on the space of symmetric forms
Ada Boralevi, Daniele Faenzi, Paolo Lella
We construct stable vector bundles on the space of symmetric forms of degree d in n+1 variables which are equivariant for the action of SL_{n+1}(C), and admit an equivariant free r…
Uniform determinantal representations
Ada Boralevi, Jasper van Doornmalen, Jan Draisma +2
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-linear forms arises from algebraic geometry, optimisation, complexity theory, and sc…
Orthogonal and unitary tensor decomposition from an algebraic perspective
Ada Boralevi, Jan Draisma, Emil Horobet +1
While every matrix admits a singular value decomposition, in which the terms are pairwise orthogonal in a strong sense, higher-order tensors typically do not admit such an orthogon…
Truncated modules and linear presentations of vector bundles
Ada Boralevi, Daniele Faenzi, Paolo Lella
We give a new method to construct linear spaces of matrices of constant rank, based on truncated graded cohomology modules of certain vector bundles as well as on the existence of…
Planes of matrices of constant rank and globally generated vector bundles
Ada Boralevi, Emilia Mezzetti
We consider the problem of determining all pairs (c_1, c_2) of Chern classes of rank 2 bundles that are cokernel of a skew-symmetric matrix of linear forms in 3 variables, having c…
Orthogonal bundles and skew-Hamiltonian matrices
Roland Abuaf, Ada Boralevi
Using properties of skew-Hamiltonian matrices and classic connectedness results, we prove that the moduli space of stable rank orthogonal vector bundles on $\m…
Linear spaces of matrices of constant rank and instanton bundles
Ada Boralevi, Daniele Faenzi, Emilia Mezzetti
We present a new method to study 4-dimensional linear spaces of skew-symmetric matrices of constant co-rank 2, based on rank 2 vector bundles on P^3 and derived category tools. The…
Secants of Lagrangian Grassmannians
Ada Boralevi, Jarosław Buczyński
We study the dimensions of secant varieties of the Grassmannian of Lagrangian subspaces in a symplectic vector space. We calculate these dimensions for third and fourth secant vari…
Sections of homogeneous bundles
Ada Boralevi
In this work we give a method for computing sections of homogeneous vector bundles on any rational homogeneous variety G/P of type ADE. Our main tool is the equivalence of categori…
On simplicity and stability of tangent bundles of rational homogeneous varieties
Ada Boralevi
Given a rational homogeneous variety G/P where G is complex simple and of type ADE, we prove that all tangent bundles T_{G/P} are simple, meaning that their only endomorphisms are…
The Horrocks-Mumford bundle restricted to planes
Ada Boralevi
We study the behavior of the Horrocks-Mumford bundle when restricted to a plane P^2 in P^4, looking for all possible minimal free resolutions for the restricted bundle. To each of…