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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

2 votes
1 answer
158 views

On linear sections of a nonsingular threefold

Let $X$ be a nonsingular threefold of degree $d$ contained in $\mathbb{P}^4$ and let $P$ be a point on $X$. Is it possible to find a plane $H$ contained in $T_P (X)$ such that $X \cap H$ is not a unio …
M. D.'s user avatar
  • 41
1 vote
0 answers
193 views

Classifications of cubic surfaces

Is there a known classification of singular cubic surfaces over finite fields?
M. D.'s user avatar
  • 41
1 vote
2 answers
318 views

Does there exist a surface over a finite field which contains three skew lines?

Does there exist an irreducible surface, other than Hermitian surface, in $\mathbb{P}^3 (\mathbb{F}_q)$ containing three skew lines? I know that this is true for Hermitian surface. In fact, at every …
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  • 41