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 -regularity,  -fibrant Hochschild homology, and a conjecture of Vorst
Author(s):
G.
Cortiñas;
C.
Haesemeyer;
C.
Weibel
Journal:
J. Amer. Math. Soc.
21
(2008),
547-561.
MSC (2000):
Primary 19D35;
Secondary 14F20, 13D03, 19D55
Posted:
May 16, 2007
MathSciNet review:
2373359
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Abstract:
In this paper we prove that for an affine scheme essentially of finite type over a field  and of dimension  ,  -regularity implies regularity, assuming that the characteristic of  is zero. This verifies a conjecture of Vorst.
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Additional Information:
G.
Cortiñas
Affiliation:
Departamento Matemática, FCEyN-Universidad de Buenos Aires, Ciudad Universitaria Pab 1, 1428 Buenos Aires, Argentina, and Departamento Álgebra, Faculdad de Ciencias, Prado de la Magdalena s/n, 47005 Valladolid, Spain
Email:
gcorti@agt.uva.es
C.
Haesemeyer
Affiliation:
Department of Mathematics, University of Illinois, Urbana, Illinois 61801
Address at time of publication:
Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 322 SEO, 851 South Morgan Street, Chicago, Illinois 60607-7045
Email:
chh@math.uiuc.edu
C.
Weibel
Affiliation:
Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08901
Email:
weibel@math.rutgers.edu
DOI:
10.1090/S0894-0347-07-00571-1
PII:
S 0894-0347(07)00571-1
Received by editor(s):
May 15, 2006
Posted:
May 16, 2007
Additional Notes:
The first author's research was partially supported by FSE and by grants ANPCyT PICT 03-12330, UBACyT-X294, JCyL VA091A05, and MEC MTM00958.
The last author's research was partially supported by NSA grant MSPF-04G-184.
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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