English

The uniqueness problem of dg-lifts and Fourier-Mukai kernels

Algebraic Geometry 2017-05-17 v1 Category Theory

Abstract

We address the uniqueness problem of dg-lifts of exact functors between triangulated categories, and its relationship with the uniqueness problem of Fourier-Mukai kernels. We prove a positive result under a vanishing hypothesis on the functors, employing A_infty-categorical techniques.

Keywords

Cite

@article{arxiv.1510.03759,
  title  = {The uniqueness problem of dg-lifts and Fourier-Mukai kernels},
  author = {Francesco Genovese},
  journal= {arXiv preprint arXiv:1510.03759},
  year   = {2017}
}

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22 pages