Journal article

Local cohomology and stratification

Abstract:: We outline an algorithm to recover the canonical (or, coarsest) stratification of a given finite-dimensional regular CW complex into cohomology manifolds, each of which is a union of cells. The construction proceeds by iteratively localizing the poset of cells about a family of subposets; these subposets are in turn determined by a collection of cosheaves which capture variations in cohomology of cellular neighborhoods across the underlying complex. The result is a nested sequence of categories, each containing all the cells as its set of objects, with the property that two cells are isomorphic in the last category if and only if they lie in the same canonical stratum. The entire process is amenable to efficient distributed computation.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Nanda, V. (2019). Local cohomology and stratification. Foundations of Computational Mathematics, 20, 195–222.

MLA Style

Nanda, V. “Local Cohomology and Stratification.” Foundations of Computational Mathematics, vol. 20, 2019, pp. 195–222.

Chicago Style

Nanda, V. 2019. “Local Cohomology and Stratification.” Foundations of Computational Mathematics 20: 195–222.
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Files:: Nanda_Local_cohomology_and_stratification.pdf

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Publisher copy:: 10.1007/s10208-019-09424-0

Authors

+ Nanda, V More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Publisher:: Springer
Journal:: Foundations of Computational Mathematics More from this journal
Volume:: 20
Pages:: 195-222
Publication date:: 2019-06-13
Acceptance date:: 2019-04-29
DOI:: 10.1007/s10208-019-09424-0
EISSN:: 1615-3383
ISSN:: 1615-3375

Language:: English
Keywords:: canonical stratification

FFR

local cohomology
Pubs id:: pubs:999297
UUID:: uuid:40cf1db2-2e02-4b18-a3ec-bddf7383aec7
Local pid:: pubs:999297
Source identifiers:: 999297
Deposit date:: 2019-05-18
ARK identifier:: ark:/29072/ora_40cf1db22e024b18a3ecbddf7383aec7

Terms of use

Copyright holder:: Vidit Nanda
Copyright date:: 2019
Rights statement:: © The Author 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Licence:: CC Attribution (CC BY)

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