Generating Elements of the Annihilating Ideal for Modular Symbols
Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 4, pp. 27-38
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In the paper, the concrete generators are found for the annihilating ideal of the modular symbols associated with $SL(s;\mathbb{Z})$. Using this result, the (co)homology of subgroups of finite index is evaluated for $SL(s;\mathbb{Z})$.
Keywords:
modular form, modular element, modular symbol, Eichler–Shimura module, annihilator ideal, generators of an ideal.
@article{FAA_2003_37_4_a7,
author = {V. A. Bykovskii},
title = {Generating {Elements} of the {Annihilating} {Ideal} for {Modular} {Symbols}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {27--38},
publisher = {mathdoc},
volume = {37},
number = {4},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2003_37_4_a7/}
}
V. A. Bykovskii. Generating Elements of the Annihilating Ideal for Modular Symbols. Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 4, pp. 27-38. http://geodesic.mathdoc.fr/item/FAA_2003_37_4_a7/