Moduli of simple rank-2 sheaves onK3-surfaces |
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| Authors: | Zhenbo Qin |
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| Institution: | (1) School of Mathematics, Institute for Advanced Study, 08540 Princeton, NJ, U.S.A.;(2) Department of Mathematics, Oklahoma State University, 74078 Stillwater, OK, U.S.A. |
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| Abstract: | We study the birational structures of the moduli spaces of simple rank-2 sheaves over aK3-surfaceX. We show that these birational structures are closely related to the Hilbert schemes ofX. Our results provide a complete answer to a problem (rank-2 case) of A.N. Tyurin whenX is an ellipticK3-surface. |
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