Se p 20 09 Motives for elliptic modular groups
نویسنده
چکیده
In order to study the arithmetic structure of elliptic modular groups which are the fundamental groups of compactified modular curves with cuspidal base points, these truncated Malcev Lie algebras and their direct sums are considered as elliptic modular motives. Our main result is a new theory of Hecke operators on these motives which gives a congruence relation to the Galois action, and a motivic decomposition to Hecke components on which Hecke operators act as scalar plus nilpotent matrices. Furthermore, we give a description of these motives as the spaces of noncommutative modular symbols with the action of Hecke operators.
منابع مشابه
2 6 O ct 1 99 6 CHOW MOTIVES OF ELLIPTIC MODULAR SURFACES AND THREEFOLDS
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