منابع مشابه
Riemann-Roch spaces of some Hurwitz curves
Let q > 1 denote an integer relatively prime to 2, 3, 7 and for which G = PSL(2, q) is a Hurwitz group for a smooth projective curve X defined over C. We compute the G-module structure of the RiemannRoch space L(D), where D is an invariant divisor on X of positive degree. This depends on a computation of the ramification module, which we give explicitly. In particular, we obtain the decompositi...
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We will consider spaces with nice connectedness properties, and the groups that act on them in such a way that the topology is preserved; we consider looking at the symmetry groups of a surface of genus g. Restricting our view to finite groups, we will develop the concept of covering spaces and illustrate its usefulness to the study of these group actions by generalizing this development to the...
متن کاملA Representation-valued Relative Riemann-hurwitz Theorem and the Hurwitz-hodge Bundle
We provide a formula describing the G-module structure of the Hurwitz-Hodge bundle for admissible G-covers in terms of the Hodge bundle of the base curve, and more generally, for describing the G-module structure of the push-forward to the base of any sheaf on a family of admissible G-covers. This formula can be interpreted as a representation-ringvalued relative Riemann-Hurwitz formula for fam...
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We give a formula of the Riemann-Hurwitz type for classes defined by multiplicative sequences as corollaries of the Chern number formula for ramified coverings. 1. 1.1. In the classical results on Riemann surfaces, we have the Riemann-Hurwitz formula which relates the topological Euler numbers of the covering space and base space. The difference of the Euler numbers can be expressed by local re...
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We provide a formula describing the G-module structure of the Hurwitz-Hodge bundle for admissible G-covers in terms of the Hodge bundle of the base curve, and more generally, for describing the G-module structure of the push-forward to the base of any sheaf on a family of admissible Gcovers. This formula can be interpreted as a representation-ring-valued relative Riemann-Hurwitz formula for fam...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1973
ISSN: 0022-2518
DOI: 10.1512/iumj.1974.23.23024