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Results tagged with ag.algebraic-geometry
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user 8012
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
4
votes
0
answers
1k
views
dimension of intersection of subvarieties of a smooth projective varieties [closed]
Let $V\subseteq \mathbb{P}^n$ be a smooth projective variety. Let $X, Y$ be two irreducible subvarieties of $V$. I would like to show that $\dim_V(X)+\dim_V(Y)\leq \dim_V(X\cap Y)+\dim(V)$. In particu …
- 565
1
vote
0
answers
122
views
Existence of rational points on the image of a proper morphism
Let $K/F$ be a field extension, and let $X$ and $Y$ be affine varieties over $F$. (E.g. they are defined by polynomials over $F$.) Suppose $X$ contains $F$-points. Now view $X$ and $Y$ as $K$-varietie …
- 565
4
votes
2
answers
2k
views
viewing the second fundamental form as a tensor
Dear all,
Thank you for your time reading this post. I am a student in computer science so this viewpoint of the second fundamental form may be interesting to you.
I would like to understand the sec …
- 565