Matroids satisfy a generalized basis exchange where for X and Y in the symmetric difference of bases A and B there exist U and V containing them with |U|=|V| at most rank(X+Y) such that A-U+V and B+U-V are bases, plus a framework for Grassmann-Plücker extensions in characteristic-zero representable
and Kapranov, Mikhail M
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
For tensors one beyond boundary format, codimension of singular vector span inside critical space equals dim of a cohomology kernel; an infinite family of order-3 tensors shows maximal rather than minimal codimension.
Conditions for boundary-anchored geodesics are derived in all branches of the quantum BTZ black hole, supporting a conjecture that photon spheres enable space-like connections between time-like separated boundary points.
citing papers explorer
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Generalizing the Multiple Exchange Property for Matroid Bases
Matroids satisfy a generalized basis exchange where for X and Y in the symmetric difference of bases A and B there exist U and V containing them with |U|=|V| at most rank(X+Y) such that A-U+V and B+U-V are bases, plus a framework for Grassmann-Plücker extensions in characteristic-zero representable
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On defective spans of singular vector tuples beyond the boundary format
For tensors one beyond boundary format, codimension of singular vector span inside critical space equals dim of a cohomology kernel; an infinite family of order-3 tensors shows maximal rather than minimal codimension.
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Photon spheres and bulk probes in $\text{AdS}_3$/$\text{CFT}_2$: the quantum BTZ black hole
Conditions for boundary-anchored geodesics are derived in all branches of the quantum BTZ black hole, supporting a conjecture that photon spheres enable space-like connections between time-like separated boundary points.