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Results tagged with ag.algebraic-geometry
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user 74500
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
4
votes
0
answers
168
views
Is stable map space $\overline{M_{0,n}}(\mathbb{P}^n,d)$ is irreducible for all $n,d$?
I read a paper "Notes On Stable Maps And Quantum Cohomology, W.Fulton and R.Pandharipande". And I think that $\overline{M_{0,n}}(\mathbb{P}^n,d)$ is irreducible. But I cannot find an exact statement f …
- 81
2
votes
1
answer
228
views
What is the moduli functor $\mathbb{P}Ext^1(L,M)$ represents
Let $X$ be an algebraic space and $L,M$ are vector bundles with rank $n,m$.
Then, It is known that $\mathbb{P}Ext^1(L,M)$ is a parameter space for isomorphism classes of vector bundle of rank $n+m$, w …
- 81
1
vote
0
answers
137
views
A Nodal curve embedded in a smooth variety, is always regularly embedded?
I will consider more simple situation. Let C be a nodal curve which is a union of two $\mathbb{P}^1$, $C_1,C_2$. Which meets at a node $p$.
Consider $C$ is embedded in a smooth variety $Y$. Assume tha …
- 81
1
vote
0
answers
588
views
Is local-to-global spectral sequence functorial?
Consider a lower term of local-to-global spectral sequence
$0 \to H^1(X,\mathcal{Hom}(\mathcal{F},\mathcal{G})) \to Ext^1(\mathcal{F},\mathcal{G}) \to H^0(X,\mathcal{Ext}^1(\mathcal{F},\mathcal{G})) …
- 81