On relative grothendieck rings and algebraically constructible functions
classification
🧮 math.AG
keywords
algebraicallyconstructiblefunctionsgrothendieckrelativeringsanalogyappearing
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We investigate Grothendieck rings appearing in real geometry, notably for arc-symmetric sets, and focus on the relative case in analogy with the properties of the ring of algebraically constructible functions defined by McCrory and Parusinski. We study in particular the duality and link operators, including its behaviour with respect to motivic Milnor fibres with signs.
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