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Results tagged with ag.algebraic-geometry
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user 160425
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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Showing that two families of elliptic curves are diffeomorphic
Consider a family of elliptic curves over the open unit disc $D\subset \mathbb{C}$ which degenerates to the nodal elliptic curve over the point $0$. I'd like to show that such a family is diffeomorph …
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How to glue a section of $T^*\mathbb{P}^1$ to create an elliptic curve
Consider a meromorphic section of the cotangent bundle $T^*\mathbb{P}^1$. Such a section has two poles, say at $0$ and $\infty$ with residues $a,-a$ for some $a\in\mathbb{C}$. I'd like to take this …
- 191
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In what sense is an orbifold a DM stack?
My advisor mentioned in passing that orbifolds are Deligne-Mumford stacks, and I'd like to know in which sense this is true. The only reference I can find is this article (https://arxiv.org/abs/0806.4 …
- 191
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What sort of spaces show up as intersection complexes of toric degenerations of Calabi-Yau V...
Roughly, a toric degeneration is a proper flat family $f:\mathcal{X}\to D$ of relative dimension $n$ with the properties that $\mathcal{X}_t$ is an irreducible normal Calabi-Yau and $\mathcal{X}_0$ is …
- 191