Schur-Finite Motives and Trace Identities

Alessio Del Padrone; Carlo Mazza

Bollettino dell'Unione Matematica Italiana (2009)

  • Volume: 2, Issue: 1, page 37-44
  • ISSN: 0392-4041

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Del Padrone, Alessio, and Mazza, Carlo. "Schur-Finite Motives and Trace Identities." Bollettino dell'Unione Matematica Italiana 2.1 (2009): 37-44. <http://eudml.org/doc/290582>.

@article{DelPadrone2009,
author = {Del Padrone, Alessio, Mazza, Carlo},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {37-44},
publisher = {Unione Matematica Italiana},
title = {Schur-Finite Motives and Trace Identities},
url = {http://eudml.org/doc/290582},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Del Padrone, Alessio
AU - Mazza, Carlo
TI - Schur-Finite Motives and Trace Identities
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/2//
PB - Unione Matematica Italiana
VL - 2
IS - 1
SP - 37
EP - 44
LA - eng
UR - http://eudml.org/doc/290582
ER -

References

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  2. ANDRÉ, YVES, Une introduction aux motifs (motifs purs, motifs mixtes, périodes), Panoramas et Synthèses [Panoramas and Syntheses], 17, Société Mathématique de France (Paris, 2004). Zbl1060.14001MR2115000
  3. BERELE, ALLAN, Trace identities and / 2 -graded invariants, Trans. Amer. Math. Soc., 309, no. 2 (1988), 581-589. Zbl0706.16015MR938917DOI10.2307/2000926
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  5. DEL PADRONE, ALESSIO, Schur functors, nilpotency and motives, Phd thesis, Università degli Studi di Genova, Dipartimento di Matematica, 2006 (2006). 
  6. DEL PADRONE, ALESSIO - MAZZA, CARLO, Schur finiteness and nd endomorphisms universally of trace zero via certain trace relations, To appear in Comm. in Alg. Zbl1171.14005MR2482807DOI10.1080/00927870802179453
  7. DEL PADRONE, ALESSIO - MAZZA, CARLO, Schur finiteness and nilpotency, C. R. Math. Acad. Sci. Paris, 341, no. 5 (2005), 283-286. MR2166140DOI10.1016/j.crma.2005.07.010
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  9. GULETSKIǏ, VLADIMIR - PEDRINI, CLAUDIO, Finite-dimensional motives and the conjectures of Beilinson and Murre, K-Theory, 30, no. 3 (2003), 243-263. Zbl1060.19001MR2064241DOI10.1023/B:KTHE.0000019787.69435.89
  10. JANNSEN, UWE, Motivic sheaves and filtrations on Chow groups, Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math., 55, (1994), 245-302. Zbl0811.14004MR1265533
  11. JANNSEN, UWE, On finite-dimensional motives and Murre's conjecture, Algebraic Cycles and Motives, London Math. Soc. Lecture Note Ser., 344 (2007), 420-450. Zbl1127.14007MR2187152
  12. JOYAL, ANDRÉ - STREET, ROSS - VERITY, DOMINIC, Traced monoidal categories, Math. Proc. Cambridge Philos. Soc., 119, n0. 3 (1996), 447-468. Zbl0845.18005MR1357057DOI10.1017/S0305004100074338
  13. KAHN, BRUNO, On the multiplicities of a motive, Preprint, February 5, 2007, K-theory Preprint Archives, http://www.math.uiuc.edu/K-theory/0818/. 
  14. KIMURA, SHUN-ICHI, Chow groups are finite dimensional, in some sense, Math. Ann., 331, no. 1 (2005), 173-201. Zbl1067.14006MR2107443DOI10.1007/s00208-004-0577-3
  15. MAZZA, CARLO, Schur functors and motives, K-Theory, 33, no. 2 (2004), 89-106. MR2131746DOI10.1007/s10977-004-6468-2
  16. SAITO, MORIHIKO, Bloch's Conjecture and Chow Motives, Preprint, February 7, 2000, arXiv, http://arxiv.org/abs/math/0002009v2. 

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