Abstract
In his thesis [3] M. J. Piff conjectured that a matroid, which is algebraic over a fieldFit) witht transcendent overF, must be algebraic overF. Two proofs have appeared, one by Shameeva [5] and another one by the author [2], but both are unsatisfactory. In this paper I will settle conjecture by applying a theorem of Seidenberg.
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References
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O. V. Shameeva, Algebraic representability. of matroids, Vestnik Moskovskogo Universiteta,Matematika 40 (1985), 29–32.