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About the cohomological dimension of certain stratified varieties


Authors: Mihai Halic and Roshan Tajarod
Journal: Proc. Amer. Math. Soc. 145 (2017), 5157-5167
MSC (2010): Primary 12G10, 14B15; Secondary 14L30, 14M25
DOI: https://doi.org/10.1090/proc/13691
Published electronically: June 16, 2017
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Abstract: We determine an upper bound for the cohomological dimension of the complement of a closed subset in a projective variety which possesses an appropriate stratification. We apply the result to several particular cases, including the Bialynicki-Birula stratification; in this latter case, the bound is sharp.


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Mihai Halic
Affiliation: Centre de Recherches Mathématiques, CNRS UMI 3457, Université de Montréal\indent QC H3C 3J7, Canada
Email: mihai.halic@gmail.com

Roshan Tajarod
Affiliation: Centre de Recherches Mathématiques, CNRS UMI 3457, Université de Montréal\indent QC H3C 3J7, Canada
Email: roshan.tajarod@gmail.com

DOI: https://doi.org/10.1090/proc/13691
Keywords: Cohomological dimension, local cohomology, affine stratification
Received by editor(s): May 5, 2015
Received by editor(s) in revised form: January 10, 2017
Published electronically: June 16, 2017
Communicated by: Harm Derksen
Article copyright: © Copyright 2017 American Mathematical Society

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