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arXiv · 1501.02358

Rational and iterated maps, degeneracy loci, and the generalized Riemann-Hurwitz formula

James F. Glazebrook·Alberto Verjovsky
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Abstract

We consider a generalized Riemann-Hurwitz formula as it may be applied to rational maps between projective varieties having an indeterminacy set and fold-like singularities. The case of a holomorphic branched covering map is recalled. Then we see how the formula can be applied to iterated maps having branch-like singularities. Separately, we consider a further application involving the Chern classes of determinantal varieties when the latter are realized as the degeneracy loci of certain vector bundle morphisms.

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James F. Glazebrook, Alberto Verjovsky. 2015-01-10. Rational and iterated maps, degeneracy loci, and the generalized Riemann-Hurwitz formula. https://arxiv.org/abs/1501.02358

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