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Multitoric surfaces and Euler obstruction of a function

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Abstract

In this work, we present a formula to compute the Euler obstruction of a function f: (X, 0) → (C, 0) and its Brasselet number, where X is a multitoric surface. As an application of this formula, we compute the Euler obstruction of a function on some families of determinantal surfaces.

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Brasselet number, determinantal surfaces, Euler obstruction of a function, Multitoric surfaces

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English

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International Journal of Mathematics, v. 27, n. 10, 2016.

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