Cohomologial dimension of Laumon 1-motives up to isogenies

Nicola Mazzari[1]

  • [1] Università degli Studi di Padova Via Trieste, 63 35100 Padova, Italy

Journal de Théorie des Nombres de Bordeaux (2010)

  • Volume: 22, Issue: 3, page 719-726
  • ISSN: 1246-7405

Abstract

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We prove that the category of Laumon 1-motives up to isogenies over a field of characteristic zero is of cohomological dimension ≤ 1 . As a consequence this implies the same result for the category of formal Hodge structures of level ≤ 1 (over ℚ ).

How to cite

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Mazzari, Nicola. "Cohomologial dimension of Laumon 1-motives up to isogenies." Journal de Théorie des Nombres de Bordeaux 22.3 (2010): 719-726. <http://eudml.org/doc/116429>.

@article{Mazzari2010,
abstract = {We prove that the category of Laumon 1-motives up to isogenies over a field of characteristic zero is of cohomological dimension $\le 1$. As a consequence this implies the same result for the category of formal Hodge structures of level $\le 1$ (over $\mathbb\{Q\}$).},
affiliation = {Università degli Studi di Padova Via Trieste, 63 35100 Padova, Italy},
author = {Mazzari, Nicola},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {laumon 1-motives; cohomological dimension},
language = {eng},
number = {3},
pages = {719-726},
publisher = {Université Bordeaux 1},
title = {Cohomologial dimension of Laumon 1-motives up to isogenies},
url = {http://eudml.org/doc/116429},
volume = {22},
year = {2010},
}

TY - JOUR
AU - Mazzari, Nicola
TI - Cohomologial dimension of Laumon 1-motives up to isogenies
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2010
PB - Université Bordeaux 1
VL - 22
IS - 3
SP - 719
EP - 726
AB - We prove that the category of Laumon 1-motives up to isogenies over a field of characteristic zero is of cohomological dimension $\le 1$. As a consequence this implies the same result for the category of formal Hodge structures of level $\le 1$ (over $\mathbb{Q}$).
LA - eng
KW - laumon 1-motives; cohomological dimension
UR - http://eudml.org/doc/116429
ER -

References

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