Geodesic
𝐾-regularity, 𝑐𝑑ℎ-fibrant Hochschild homology, and a conjecture of Vorst
Cortiñas, G. 1   ; Haesemeyer, C. 2 ,  3   ; Weibel, C. 4
1 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
2 Department of Mathematics, University of Illinois, Urbana, Illinois 61801
3 Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 322 SEO, 851 South Morgan Street, Chicago, Illinois 60607-7045
4 Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08901
Journal of the American Mathematical Society, Tome 21 (2008) no. 2, pp. 547-561 Cet article a éte moissonné depuis la source American Mathematical Society

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In this paper we prove that for an affine scheme essentially of finite type over a field $F$ and of dimension $d$, $K_{d+1}$-regularity implies regularity, assuming that the characteristic of $F$ is zero. This verifies a conjecture of Vorst.
DOI : 10.1090/S0894-0347-07-00571-1

Cortiñas, G.  1   ; Haesemeyer, C.  2 , 3   ; Weibel, C.  4

1 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
2 Department of Mathematics, University of Illinois, Urbana, Illinois 61801
3 Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 322 SEO, 851 South Morgan Street, Chicago, Illinois 60607-7045
4 Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08901 
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     journal = {Journal of the American Mathematical Society},
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Cortiñas, G.; Haesemeyer, C.; Weibel, C. 𝐾-regularity, 𝑐𝑑ℎ-fibrant Hochschild homology, and a conjecture of Vorst. Journal of the American Mathematical Society, Tome 21 (2008) no. 2, pp. 547-561. doi: 10.1090/S0894-0347-07-00571-1

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