Resolving toric varieties with Nash blow-ups - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: It is a long-standing question whether an arbitrary variety is desingularizedby finitely many normalized Nash blow-ups. We consider this question in thecase of a toric variety. We interpret the normalized Nash blow-up in polyhedralterms, show how continued fractions can be used to give an affirmative answerfor a toric surface, and report on a computer investigation in which over athousand 3- and 4-dimensional toric varieties were successfully resolved.



Author: Atanas Atanasov, Christopher Lopez, Alexander Perry, Nicholas Proudfoot, Michael Thaddeus

Source: https://arxiv.org/







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