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We describe the absolute values on a field which simultaneously extend absolute values on two subfields. We also give a common generalization of many versions of Abhyankar's lemma on ramification… Click to show full abstract
We describe the absolute values on a field which simultaneously extend absolute values on two subfields. We also give a common generalization of many versions of Abhyankar's lemma on ramification indices, which is both widely applicable and easy to state. We then apply these results to count points on the fibered product of two curve morphisms C --> X and D --> X which lie over prescribed points on C and D.
Keywords:
absolute values;
two subfields;
extensions absolute;
values two
Journal Title: Journal of Algebra
Year Published: 2022
Link to full text (if available)
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Journal Title: Journal of Algebra
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!