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Results tagged with ag.algebraic-geometry
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user 46848
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
0
votes
2
answers
610
views
Bertini type theorem
I am trying to prove the following Bertini type theorem:
Given a non-constant morphism $f:X \rightarrow C$, where $X \subset \mathbb{P}^n$ is a smooth irreducible variety and $C$ is a smooth curve, t …
- 61
0
votes
1
answer
475
views
Indeterminancy locus of rational maps
Let $K=\bar{\mathbb{Q}}(\mathbb{P}^2_\bar{\mathbb{Q}})$, the function field of $\mathbb{P}^2_\bar{\mathbb{Q}}$. Let $C/K$ be a smooth projective curve over $K$ in $\mathbb{P}^2_K$ and let $f$ be a mor …
- 61
5
votes
1
answer
808
views
Specialization Map of family of abelian varieties
In Lang's Survey on Diophantine Geometry, page 40, he said the following:
Let $F=k(Y)$ be a function field of variety $Y$ over the constant field $k$ and $X_F$ a non-singular projective variety over …
- 61