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arXiv · 1803.04595

A higher-order tangent map and a conjecture on the higher Nash blowup of curves

Enrique Chavez Martinez·Daniel Duarte·Arturo Giles Flores
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Abstract

We introduce a higher-order version of the tangent map of a morphism and find a matrix representation. We then apply this matrix to solve a conjecture by T. Yasuda regarding the semigroup of the higher Nash blowup of formal curves. We first show that the conjecture is true for toric curves. We conclude by exhibiting a family of non-monomial curves where the conjecture fails.

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Enrique Chavez Martinez, Daniel Duarte, Arturo Giles Flores. 2018-03-13. A higher-order tangent map and a conjecture on the higher Nash blowup of curves. https://arxiv.org/abs/1803.04595

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