Lecture 3 Kevin
نویسنده
چکیده
Recall that we have been thinking of modular forms as rules defined on test objects (E/R, ω) or (E/R, ω, Y ). Hence if one has a “natural” map F which sends a test object to another test object, then F induces a natural map between spaces of modular forms: if f is a modular form, then one can define a modular form F ∗f as being the rule sending a test object T to f(F (T )). One needs to check that this rule satisfies the axioms, but if F is sufficiently natural then this kind of check should be very straightforward. We use the upper star notation because one easily checks that the map on forms goes the other way to the map F . We now give some concrete examples of this phenomenon.
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تاریخ انتشار 2001