Motivic Tubular Neighborhoods

We construct motivic versions of the classical tubular neighborhood and the punctured tubular neighborhood, and give applications to the construction of tangential base-points for mixed Tate motives, algebraic gluing of curves with boundary components, and limit motives.

2000 Mathematics Subject Classification: Primary 14C25; Secondary 55P42, 18F20, 14F42

Keywords and Phrases: Limit motives, moduli of curves, Tate motives

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