Copositive matrices with nondecreasing off-diagonal entries admit a PSD plus nonnegative decomposition, which implies exactness of a natural relaxation for separable quadratic optimization over the simplex.
Hartshorne, Algebraic Geometry , Graduate Texts in Mathematics, vol
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
verdicts
UNVERDICTED 6representative citing papers
Graphical Algebraic Geometry creates universal diagrammatic languages for commutative algebras and affine varieties that also characterize the qudit ZH calculus for quantum computation.
A new extension-based construction produces strictly asymptotically Z-stable rank 3 bundles on polycyclic projective surfaces, plus a Hoppe-style criterion for rank 2 bundles.
A new fibration theorem implies solvable descent, solving the Grunwald problem for solvable groups up to the Brauer-Manin obstruction.
A necessary and sufficient condition is established for the existence of holomorphic Lie algebroid connections on vector bundles over irreducible smooth complex projective varieties of dimension at least three.
New proof of Green's conjecture for generic odd-genus curves by adapting the author's earlier secant bundle methods to avoid difficult computations.
citing papers explorer
-
Copositive Matrices with Ordered Off-Diagonal Entries
Copositive matrices with nondecreasing off-diagonal entries admit a PSD plus nonnegative decomposition, which implies exactness of a natural relaxation for separable quadratic optimization over the simplex.
-
Graphical Algebraic Geometry: From Ideals and Varieties to Quantum Calculi
Graphical Algebraic Geometry creates universal diagrammatic languages for commutative algebras and affine varieties that also characterize the qudit ZH calculus for quantum computation.
-
Asymptotically Z-stable bundles over projective surfaces
A new extension-based construction produces strictly asymptotically Z-stable rank 3 bundles on polycyclic projective surfaces, plus a Hoppe-style criterion for rank 2 bundles.
-
Solvable Descent and the Grunwald Problem for Solvable Groups
A new fibration theorem implies solvable descent, solving the Grunwald problem for solvable groups up to the Brauer-Manin obstruction.
-
Existence of holomorphic Lie algebroid connections in higher dimensions
A necessary and sufficient condition is established for the existence of holomorphic Lie algebroid connections on vector bundles over irreducible smooth complex projective varieties of dimension at least three.
-
A proof of generic Green's conjecture in odd genus
New proof of Green's conjecture for generic odd-genus curves by adapting the author's earlier secant bundle methods to avoid difficult computations.