The K-theory of toric varieties in positive characteristic
We show that if X is a toric scheme over a regular ring containing a field of finite characteristic, then the direct limit of the K-groups of X taken over any infinite sequence of non-trivial dilations is homotopy invariant. This theorem was known in characteristic 0. The affine case of our result w...
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John Wiley and Sons Ltd
2014
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| LEADER | 06371caa a22006497a 4500 | ||
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| 003 | AR-BaUEN | ||
| 005 | 20230518204448.0 | ||
| 008 | 190411s2014 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84894737501 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Cortiñas, G. | |
| 245 | 1 | 4 | |a The K-theory of toric varieties in positive characteristic |
| 260 | |b John Wiley and Sons Ltd |c 2014 | ||
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Cortiñas, G., Haesemeyer, C., Walker, M., Weibel, C., K-regularity, cdh-fibrant Hochschild homology, and a conjecture of Vorst (2008) J. AMS, 21, pp. 547-561 | ||
| 504 | |a Cortiñas, G., Haesemeyer, C., Walker, M., Weibel, C., The K-theory of toric varieties (2009) Trans. AMS, 361, pp. 3325-3341 | ||
| 504 | |a Cortiñas, G., Haesemeyer, C., Walker, M., Weibel, C., Toric Varieties, Monoid Schemes and cdh descent (2013) J. Reine Angew. Math., , doi:10.1515/crelle-2012-0123 | ||
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| 504 | |a Gubeladze, J., The nilpotence conjecture in K-theory of toric varieties (2005) Invent. Math., 160, pp. 173-216 | ||
| 504 | |a Gubeladze, J., Global coefficient ring in the nilpotence conjecture (2008) Trans. AMS, 136, pp. 499-503 | ||
| 504 | |a Hesselholt, L., Madsen, I., On the K-theory of finite algebras over Witt vectors of perfect fields (1997) Topology, 36, pp. 29-101 | ||
| 504 | |a Jardine, J.F., Stable homotopy theory of simplicial presheaves (1987) Canad. J. Math., 39, pp. 733-747 | ||
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| 504 | |a Loday, J.L., (1992) Cyclic homology, Grundlehren der mathematischen Wissenschaften, 301. , (Springer, Berlin,) | ||
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| 504 | |a Voevodsky, V., Homotopy theory of simplicial sheaves in completely decomposable topologies (2010) J. Pure Appl. Algebra, 214, pp. 1384-1398 | ||
| 504 | |a Weibel, C.A., Homotopy algebraic K-theory (1989) Algebraic K-theory and algebraic number theory (Honolulu 1987), 83, pp. 461-488. , Contemporary Mathematics (American Mathematical Society, Providence, RI,) | ||
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| 520 | 3 | |a We show that if X is a toric scheme over a regular ring containing a field of finite characteristic, then the direct limit of the K-groups of X taken over any infinite sequence of non-trivial dilations is homotopy invariant. This theorem was known in characteristic 0. The affine case of our result was conjectured by Gubeladze. © 2013 London Mathematical Society. |l eng | |
| 536 | |a Detalles de la financiación: National Science Foundation, NSF, DMS-0966600 | ||
| 536 | |a Detalles de la financiación: National Science Foundation, NSF, DMS-0966821 | ||
| 593 | |a Dept. Matemática-Inst. Santaló, FCEyN Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina | ||
| 593 | |a Department of Mathematics, University of California, Los Angeles, CA 90095., United States | ||
| 593 | |a Department of Mathematics, University of Nebraska - Lincoln, Lincoln, NE 68588, United States | ||
| 593 | |a Department of Mathematics, Rutgers University, New Brunswick, NJ 08901, United States | ||
| 700 | 1 | |a Haesemeyer, C. | |
| 700 | 1 | |a Walker, M.E. | |
| 700 | 1 | |a Weibel, C. | |
| 773 | 0 | |d John Wiley and Sons Ltd, 2014 |g v. 7 |h pp. 247-286 |k n. 1 |p J. Topol. |x 17538416 |t Journal of Topology | |
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