• Corpus ID: 237142432

Multidimensional Persistence: Invariants and Parameterization

@article{Neumann2021MultidimensionalPI,
  title={Multidimensional Persistence: Invariants and Parameterization},
  author={Maximilian Neumann},
  journal={ArXiv},
  year={2021},
  volume={abs/2108.07632}
}
  • M. Neumann
  • Published 17 August 2021
  • Mathematics
  • ArXiv
This article grew out of my Master’s thesis at the Faculty of Mathematics and Information Science at Ruprecht-Karls-Universität Heidelberg under the supervision of PD Dr. Andreas Ott. The content of this article is mainly based on and inspired by the work of G. Carlsson and A. Zomorodian on the theory of multidimensional persistence in [CZ07] and [CZ09]. Our main goal is to carry out a complete classification and parameterization for the algebraic objects that correspond to the homology of a… 
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Y is called an open/closed subvariety of X if Y is an open/closed subscheme of X

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      1 Basic Definitions 2 Examples 3 Projective Schemes 4 Classical Constructions 5 Local Constructions 6 Schemes and Functors

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        X is called an affine F-variety if X = Spec(R) for a finitely generated F-alegbra R