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Some Remarks about the FM-partners of K3 Surfaces with Picard Numbers 1 and 2

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Abstract

In this paper we describe some results about K3 surfaces with Picard number 1 and 2. In particular, we give a new simple proof of a theorem due to Oguiso which shows that, given an integer N, there is a K3 surface with Picard number 2 and at least N non-isomorphic FM-partners. We describe also the Mukai vectors of the moduli spaces associated to the FM-partners of K3 surfaces with Picard number 1.

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Stellari, P. Some Remarks about the FM-partners of K3 Surfaces with Picard Numbers 1 and 2. Geometriae Dedicata 108, 1–14 (2004). https://doi.org/10.1007/s10711-004-9291-7

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  • DOI: https://doi.org/10.1007/s10711-004-9291-7

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