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Interesting applications of the Pigeon-hole Principle
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Can a non-surjective polynomial map from an infinite field to itself miss only finitely many points?
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A problem on Algebraic Number Theory, Norm of Ideals
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Why is an injective quasi-coherent sheaf’s restriction to an open subset still an injective object?
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Algebraic Varieties which are also Manifolds
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Why the rank of a locally free sheaves is well defined?
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Function Field of projective space