Elena Lukzen - Academia.edu (original) (raw)

Elena Lukzen

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Papers by Elena Lukzen

Research paper thumbnail of Stable vector bundles on the families of curves

European Journal of Mathematics, 2022

We offer a new approach to proving the Chen–Donaldson–Sun theorem which we demonstrate with a ser... more We offer a new approach to proving the Chen–Donaldson–Sun theorem which we demonstrate with a series of examples. We discuss the existence of a construction of a special metric on stable vector bundles over the surfaces formed by a family of curves and its relation to the one-dimensional cycles in the moduli space of stable bundles on curves.

Research paper thumbnail of Stable vector bundles on the families of curves

European Journal of Mathematics, 2022

We offer a new approach to proving the Chen–Donaldson–Sun theorem which we demonstrate with a ser... more We offer a new approach to proving the Chen–Donaldson–Sun theorem which we demonstrate with a series of examples. We discuss the existence of a construction of a special metric on stable vector bundles over the surfaces formed by a family of curves and its relation to the one-dimensional cycles in the moduli space of stable bundles on curves.

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