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https://gnanaganga.inflibnet.ac.in:8443/jspui/handle/123456789/6327
Title: | Fourier-Mukai Transform of Vector Bundles on Surfaces to Hilbert Scheme |
Authors: | Indranil Biswas D. S. Nagaraj |
Issue Date: | 2017 |
Publisher: | Journal of the Ramanujan Mathematical Society |
Abstract: | Let S be an irreducible smooth projective surface defined over an algebraically closed field k. For a positive integer d, let Hilb^d (S) be the Hilbert scheme parametrizing the zero-dimensional subschemes of S of length d. For a vector bundle E on S, let H(E) →Hilb^d (S) be its Fourier- Mukai transform constructed using the structure sheaf of the universal subscheme of S × Hilb^d (S) as the kernel. We prove that two vector bundles E and F on S are isomorphic if the vector bundles H(E) and H(F) are isomorphic. |
URI: | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6327 |
Appears in Collections: | Articles to be qced |
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Fourier-Mukai transform of vector bundles.pdf Restricted Access | 219.01 kB | Adobe PDF | View/Open Request a copy |
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