An extension of a theorem of Hartshorne
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- by Mordechai Katzman, Gennady Lyubeznik and Wenliang Zhang PDF
- Proc. Amer. Math. Soc. 144 (2016), 955-962 Request permission
Abstract:
We extend a classical theorem of Hartshorne concerning the connectedness of the punctured spectrum of a local ring by analyzing the homology groups of a simplicial complex associated with the minimal primes of a local ring.References
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Additional Information
- Mordechai Katzman
- Affiliation: Department of Pure Mathematics, University of Sheffield, Hicks Building, Sheffield S3 7RH, United Kingdom
- Email: M.Katzman@sheffield.ac.uk
- Gennady Lyubeznik
- Affiliation: School of Mathematics, University of Minnesota, 207 Church Street, Minneapolis, Minnesota 55455
- MR Author ID: 117320
- Email: gennady@math.umn.edu
- Wenliang Zhang
- Affiliation: Department of Mathematics, University of Nebraska, Lincoln, Nebraska 68588
- Address at time of publication: Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 851 S. Morgan Street, Chicago, Illinois, 90907-7045
- MR Author ID: 805625
- Email: wlzhang@uic.edu
- Received by editor(s): August 4, 2014
- Received by editor(s) in revised form: October 8, 2014, and February 26, 2015
- Published electronically: September 4, 2015
- Additional Notes: The first author gratefully acknowledges support from EPSRC grant EP/J005436/1. The second author was partially supported by NSF grant DMS #1161783, and the third author by NSF grants DMS #1247354/#1405602 and an EPSCoR First Award grant. The second and third authors were also supported by NSF grant 0932078000 while in residence at MSRI
- Communicated by: Irena Peeva
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 955-962
- MSC (2010): Primary 13D45, 13F55, 14B15
- DOI: https://doi.org/10.1090/proc12771
- MathSciNet review: 3447649