Abstract
We compare the asymptotic grows of the number of rational points on modular varieties of D-elliptic sheaves over finite fields to the grows of their Betti numbers as the degree of the level tends to infinity. This is a generalization to higher dimensions of a well-known result for modular curves. As a consequence of the main result, we produce a new asymptotically optimal sequence of curves.
Original language | English (US) |
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Pages (from-to) | 115-134 |
Number of pages | 20 |
Journal | Journal fur die Reine und Angewandte Mathematik |
Issue number | 626 |
DOIs | |
State | Published - Jan 2009 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics