Inversion of adjunction for local complete intersection varieties

By L. Ein, M. Mustaţă. 2003

92 citations recorded by the source corpus.

We extend Inversion of Adjunction and Semicontinity of minimal log discrepancies from the case of a smooth ambient variety to the case of local complete intersection varieties.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d4962178e612886ad0058316d13e2cb874bf4b9f

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In Computational Mechanics

In Computational Theory and Mathematics

In Geometry and Topology

Citations in the corpus

A simple characterization of Du Bois singularities (2007, background): “The condition that X is log canonical is then equivalent to the condition that (Y,rX) is log canonical by [ EM04 , 3.2].”
F-adjunction (2009, result): “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].”
Jet schemes and singularities (2006, unknown): “ng the non-lci subscheme of level rof X, then mld W;X, 1 r V(Jr)+Y|X = mld(W;A,cX+Y), where Y|X:= P iqi(Yi∩X). When Xis locally complete intersection, then Jr = OX, and we recover the result from [EM] saying that mld(W;X,Y|X) = mld(W;A,cX+Y). It is shown in loc. cit. that this is equivalent with t”
F-singularities of pairs and Inversion of Adjunction of arbitrary codimension (2003, background): “... of Koll´ar [18] and Shokurov [23] says that the pair (Z, Y |Z) is klt if and only if the pair (X, Y + rZ) is plt near Z. The lc case, which states (Z, Y |Z) is lc if and only if (X, Y + rZ) is lc near Z, was proved by Ambro [2] when X is an affine space andZ is a non-degenerate hypersurface, by ”
Arc Spaces and Rogers-Ramanujan Identities (2011, unknown): “assume that all singularities of Xare canonical. We will use a theorem by Ein and Musta¸ta that characterizescanonical singularities by the fact that their jet spaces are irreducible (see Thm. 1.3 in [EM04]). It is well known that the natural maps πm : Xm → Xare locally trivial ﬁbrations above the s”
Divisorial Valuations via Arcs (2007, background): “Proof. It follows by [ EM1 ] that the difference b”