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arxiv: math/0612862 · v2 · submitted 2006-12-29 · 🧮 math.AG

Jet schemes and singularities

Lawrence Ein , Mircea Mustata This is my paper
classification 🧮 math.AG
keywords varietiesschemessingularitiesadjunctionapplicationsapproacharbitrarybasic
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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) .

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    The authors establish the Carvajal-Rojas-Schwede-Tucker conjecture on positive limiting F-signature for two specific classes of complex KLT singularities using inductive arguments and toric degenerations inspired by K...