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Ramification divisor

Feb 11, 20211 answer

Assume X,Y are smooth varieties, f:X→Y is a separated morphism. Then it is claimed that there is Hurwitz formula:
KX∼f∗KY+R
with R an effective ...

Jul 21, 20112 answers

Let S be the spectrum of Z or the spectrum of an algebraically closed field. (Actually, one can take S to be any noetherian integral regular scheme.) ...

Motivation behind defining the Ramification Divisor - MathOverflow

2 answers · Oct 4, 2011

Ramification divisor and degenerate locus of jacobian - MathOverflow

2 answers · Aug 3, 2013

Smoothness of the branch divisor and ramification on surfaces

1 answer · Oct 19, 2016

Smoothness of ramification divisor - MathOverflow

1 answer · Jul 12, 2018

More results from mathoverflow.net

In geometry, ramification is 'branching out', in the way that the square root function, for complex numbers, can be seen to have two branches differing in ...

by A Deopurkar2019 — Abstract: We study the ramification divisors of projections of a smooth projective variety onto a linear subspace of the same dimension.

by A Broustet2012Cited by 25 — can then study the geometry of the ramification divisors along ... rithmic ramification divisor, and the induced endomorphism f|Z : Z → Z ...

Sep 14, 2015 — This is just to record some thoughts on the different ideal or equivalently the ramification divisor in the case of quasi-finite morphisms f ...

Let C be a curve of genus 2 over the field k = C. (1) Show that the canonical divisor KC induces a finite morphism f : C ! P1 of degree. 2 ramified at 6 points.

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by L Ein1982Cited by 31 — References · Altman, A., Kleiman, S.: Introduction to Grothendieck duality. · Catanese, F.: Pluricanonical Gorenstein curves, Proceedings of the ...

Alexander Degtyarev, Ilia Itenberg, V. Kharlamov — 2000Mathematics

Thus , in the case of nonsingular Z one may speak of the branch divisor Uz CZ of a double covering ... Projection formula for the ramification divisors .