Tautological Classes on Moduli Spaces of Curves with Linear Series and a Push-forward Formula
نویسنده
چکیده
We define tautological Chow classes on the moduli space G d of triples consisting of a curve C, a line bundle L on C of degree d, and a linear system V on L of dimension r. In the case where the forgetful morphism to Mg has relative dimension zero, we describe the images of these classes in A(Mg). As an application, we compute the (virtual) slopes of several different classes of divisors on Mg.
منابع مشابه
Constructions of Nontautological Classes on Moduli Spaces of Curves T. Graber and R. Pandharipande
0. Introduction The tautological rings R(M g,n) are natural subrings of the Chow rings of the Deligne-Mumford moduli spaces of pointed curves: (1) R(M g,n) ⊂ A (M g,n) (the Chow rings are taken with Q-coefficients). The system of tautological subrings (1) is defined to be the set of smallest Q-subalgebras satisfying the following three properties [FP]: (i) R(Mg,n) contains the cotangent line cl...
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تاریخ انتشار 2008