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arXiv · 1404.7731

The dimension of jet schemes of singular varieties

Mircea Mustata
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Abstract

Given a scheme X over a field k, a generalized jet scheme parametrizes maps from Spec(A) to X, where A is a finite-dimensional, local algebra over k. We give an overview of known results concerning the dimensions of these schemes when A has embedding dimension one, when they are related to invariants of singularities in birational geometry. We end with a discussion of more general jet schemes.

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Mircea Mustata. 2014-04-30. The dimension of jet schemes of singular varieties. https://arxiv.org/abs/1404.7731

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