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Results tagged with ag.algebraic-geometry
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user 39178
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
3
votes
0
answers
369
views
inducing group action on a blowup
Let $X$, $Y$ be a smooth projective varieties, say over the complex numbers, both acted upon by a connected linear group $G$. Let $f\colon X\to Y$ be an equivariant rational map. Let $Z$ be a smooth $ …
- 145
2
votes
1
answer
173
views
General hypersurfaces containing a general member of HilbP^n
Let W be a subvariety of some Hilbert scheme of $P^n$, $n \geq 3$.
Assume the general member $C_w \subset P^n$ of W is
pure positive dimensional, not necessarily reduced
(e.g., defined by the square …
- 145
1
vote
0
answers
310
views
Splitting of the normal bundle to $\mathbb{P}^1$ after blowup
Let $Y$ be a smooth projective subvariety of $X$ also smooth projective.
Let $C\simeq\mathbb{P}^1$ be a smooth projective rational curve in $X$ meeting $Y$ in a single, reduced point. Assume we know t …
- 145
1
vote
1
answer
319
views
Uniqueness of a closed subscheme in a disjoint union
Let $Z =C \cup F$ be a disjoint scheme union of closed subschemes of Pn.
Let $p_C$ be the Hilbert polynomial;
assume
(1) $F$ finite, reduced,
(2) all irreducible components of $C$ are positive dime …
- 145