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Results tagged with algebraic-curves
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user 46104
for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
1
vote
Accepted
The geometric genus under a generically finite to one rational map
Mohan' answer in the comments is correct: this is more a comment to his answer.
If you are only interested in the inequality you do not need Riemann-Hurwitz formula as I will explain in the following …
- 1,054
2
votes
Disjoint curves in an algebraic surface
The answer is clearly affirmative for $b=1$, which unfortunately corresponds only to 101 surfaces, including ${\mathbb P}^2$. I doubt that there is a single other case in which it works.
Indeed I do …
- 1,054
0
votes
Accepted
Uniform position property and general hyperplanes
The answer to both questions is negative, as pointed out by aginesky in the comments. To complete his answer, let me give a simple concrete counterexample.
Consider a canonical curve $C$ of genus 4 w …
- 1,054