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- W2339695263 abstract "We describe the universal deformation spaces of the local surfaces $Z_k := operatorname{Tot} (mathcal O_{mathbb P^1} (-k))$. We show that any nontrivial deformation $mathcal Z_k$ contains no compact complex analytic curves. We prove that holomorphic vector bundles on $mathcal Z_k$ split as direct sums of algebraic line bundles, in contrast to the moduli of bundles on $Z_k$ whose dimensions increase with the local second Chern class." @default.
- W2339695263 created "2016-06-24" @default.
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- W2339695263 date "2016-04-05" @default.
- W2339695263 modified "2023-09-27" @default.
- W2339695263 title "Classical deformations of local surfaces and their moduli of vector bundles" @default.
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