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projective plane and tetrahedra

suppose we have a tetrahedron with four adjacent ones in RP3 and the vertices of the central tetrahedron are [1,0,0,0,0] , [0,1,,0,0] , [0,0,1,0] , [0,0,0,1]. For each vertex doe …
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Projective spaces with nonconstant regular functions

I can construct a scheme by patching that represents a projective space over an arbitrary ring. I can also prove that, if the ring is a Jacobson domain, the only regular functions …
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What is the Birkhoff norm of a Perron vector?

Let $A$ be a positive matrix. What is known about the Birkhoff norm of its Perron vector? By the Birkhoff norm of a vector $x$ I refer to the quantity $\frac{\max{x}}{\min{x}}$. …