G. Cortiñas Homepage
Position: Associate Professor
(University of Buenos Aires)
Research
Interests: K-theory & cyclic homology
, noncommutative geometry.
Students
Research Papers
- J.L.
Castiglioni, G. Cortiñas. Cosimplicial versus DG-rings: a
version of the Dold-Kan correspondence. J. Pure Appl. Algebra.191 (2004) 119-142.
- G. Cortiñas, C. Valqui. Excision in bivariant periodic cyclic homology:
a categorical approach. K-theory 30 (2003)
167-201.
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- G.
Cortiñas. The obstruction to excision in K-theory and in cyclic
homology. arXiv
- G. Cortiñas. De Rham and infinitesimal cohomology in Kapranov's model
for noncommutative algebraic geometry. Compositio
Mathematica 136 (2003) 171-203 .
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- G.
Cortiñas. The structure of smooth
algebras in Kapranov's framework for noncommutative geometry. arXiv
- G. Cortiñas. An explicit formula for PBW quantization. Comm.
Algebra 30, (2002) 1705-1713.
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- G. Cortiñas. Periodic cyclic homology as sheaf cohomology. K-theory 20
(2000) 175-200.
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- G.
Cortiñas. Interchanging holims and hocolims in CAT. Bol. Acad.
Nac. Ciencias 65 (2000) 95-102. arXiv
- G. Cortiñas. Infinitesimal K-theory. J. reine angew. Math. 503 (1998),
129-160.
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- G.
Cortiñas. On the derived functor analogy in the Cuntz-Quillen
framework for cyclic homology. Algebra Colloquium 5, no. 3
(1998), 305-328.
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- G.
Cortiñas, F. Krongold. Artinian algebras and differential forms.
Comm. in Alg. 27:4 (1999) 1711-1716.
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- G.
Cortiñas. On the cyclic homology of commutative algebras over
arbitrary ground rings. Comm. in Alg. 27:3 (1999) 1403-1412.
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- G.
Cortiñas, S. Geller, C. Weibel. The artinian Berger conjecture.
Me.ath. Z. 228, 569-588 (1998).
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- G. Cortiñas, J. Shapiro. On universal central extensions of quadratic Lie
algebras and its relation to dihedral homology.J. of Alg. 180 725-756
(1996).
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- G.
Cortiñas. Conjetura de Berger artiniana Pro Mathematica 8
123-127 (1994).
- G.
Cortiñas, C. Weibel. Homology of Azumaya algebras. Proc. Amer.
Math. Soc. 121, 53-55 (1994).
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- G.
Cortiñas. L-theory and dihedral homology II. Topology and its
Appl. 51, 53-69 (1993).
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- G.
Cortiñas. L-theory and dihedral homology. Math. Scand. 73, 21-35
(1993).
- G.
Cortiñas. Stiefel-Whitney classes for quadratic modules. Comm.
in Alg. 21, 163-178 (1993).
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- L.
Caniglia, G. Cortiñas, S. Danon, A. Galligo, J. Heintz, T.
Krick, P. Solernó. Algorithmic aspects of Suslin's proof of
Serre's conjecture. Comput. Complexity 3, 31-55, (1993).
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- G. Cortiñas, J. A. Guccione, J.
J. Guccione. Decomposition of Hochschild
and cyclic homology of commutative differential graded algebras. J.of
Pure and Appl. Alg. 83, 219-235 (1992).
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- N. Fitchas
(L. Caniglia, G. Cortiñas, S. Danon, J. Heintz, T. Krick, P.
Solernó), A. Galligo. Nullstellensatz effectif et conjecture de
Serre pour le calcul formel. Math. Nach. 149 231-253 (1990).
- G. Cortiñas, J. A. Guccione, O.
E. Villamayor. Cyclic homology of k[Z/pZ].
K-theory 2 603-616, (1989).
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- G. Cortiñas, O.E. Villamayor.
Cyclic homology of k[Z/2Z].Revista de la UMA 33, 55-61 (1987).
- G. Cortiñas. La K-teoria
ortogonal de Karoubi-Villamayor. Notas
Soc. Mat. de Chile, 5 151-152, (1986).
Available
reviews of the papers listed above
MathReviews|Zentralblatt
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Last modified: 23/6/03