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Goursat systems of R^n satisfying in each dimension a singularity of order two
Non holonomic distribution normal forms
2010/9/27
In this article we study the 2-distributions in Rn satisfying everywhere the Goursat condition. We give the normal form at a neighborhood of a point where the small growth vector has a singularity of ...
Equivalence of the Derived Category of a Variety with a Singularity Category
Variety Singularity Category
2010/11/11
We prove an equivalence between the derived category of a variety and the equivariant/graded singularity category of a corresponding singular variety. The equivalence also holds at the dg level.
Complex-Time Singularity and Locality Estimates for Quantum Lattice Systems
Complex-Time Singularity Locality Estimates Quantum Lattice Systems
2010/11/15
We present and prove a well-known locality bound for the complex-time dynamics of a general class of one-dimensional quantum spin systems. Then we discuss how one might hope to extend this same proce...