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- W2952382873 abstract "Let $X$ be a proper variety over a henselian discretely valued field. An important obstruction to the existence of a rational point on $X$ is the index, the minimal positive degree of a zero cycle on $X$. This paper introduces a new invariant, the specialization index, which is a closer approximation of the existence of a rational point. We provide an explicit formula for the specialization index in terms of an $snc$-model, and we give examples of curves where the index equals one but the specialization index is different from one, and thus explains the absence of a rational point. Our main result states that the specialization index of a smooth, proper, geometrically connected $mathbb{C}((t))$-variety with trivial coherent cohomology is equal to one." @default.
- W2952382873 created "2019-06-27" @default.
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- W2952382873 date "2015-05-29" @default.
- W2952382873 modified "2023-09-23" @default.
- W2952382873 title "The specialization index of a variety over a discretely valued field" @default.
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