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The relative Riemann-Hurwitz formula
- Publication Year :
- 2021
-
Abstract
- For any nonconstant f,g in C(x) such that the numerator H(x,y) of f(x)-g(y) is irreducible, we compute the genus of the normalization of the curve H(x,y)=0. We also prove an analogous formula in arbitrary characteristic when f and g have no common wildly ramified branch points, and generalize to (possibly reducible) fiber products of nonconstant morphisms of curves f:A-->D and g:B-->D.<br />Comment: 11 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2103.07921
- Document Type :
- Working Paper