Jet schemes and singularities
By L. Ein, M. Mustaţă. 2006
147 citations recorded by the source corpus.
We give a self-contained presentation of the basic results on jet schemes of singular varieties. Applications are given to invariants of singularities, such as minimal log discrepancies. We simplify our older approach to Inversion of adjunction for locally complete intersection varieties, and we prove a more general result for arbitrary Q-Gorenstein varieties embeded in nonsingular varieties (this statement has been proved independently also by Kawakita) .
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9719df0dfced9130bbcc9d7689753cf4ce864c15
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- A remark on the C2-cofiniteness condition on vertex algebras (2010, background): “For general theory of jet schemes see e.g., [EM09].”
- Divisorial Valuations via Arcs (2007, methodology): “For a more precise statement of the following lemma, we refer to [ EM2 , Theorem 6.2 and Lemma 6.3].”
- On the formal arc space of a reductive monoid (2014, unknown): “We refer [10] for a good account of this theory.”
- F-adjunction (2009, background): “I do not know of anything like a characteristic zero analog of this except in the case that X ⊆ Y is a complete intersection [Ein and Mustaţǎ 2004]; also compare with [Kawakita 2008; Ein and Mustaţă 2009].”