On k th-order embeddings of K 3 surfaces and Enriques surfaces
نویسندگان
چکیده
منابع مشابه
Between K 3 Surfaces
Let X be a K3 surface which is intersection of three (i.e. a net P) of quadrics in P. The curve of degenerate quadrics has degree 6 and defines a natural double covering of P ramified in this curve which is again a K3. This is a classical example of a correspondence between K3 surfaces which is related with moduli of sheaves on K3’s studied by Mukai. When general (for fixed Picard lattices) X a...
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J. Algebraic Geom. 7 (1998), no. 1, 183–193. Richard E. Borcherds † Mathematics department, Evans Hall, 3840, UC Berkeley, CA 94720-3840 D.P.M.M.S., 16 Mill Lane, Cambridge CB2 1SB, UK email: [email protected] Ludmil Katzarkov M.S.R.I., 1000 Centennial Drive, Berkeley, CA 94720 Department of Mathematics, UC Irvine, Irvine, CA 92697-3875 email: [email protected] Tony Pantev ‡ Department of ...
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In this note, we report some progress we made recently on the automorphisms groups of K3 surfaces. A short and straightforward proof of the impossibility of Z/(60) acting purely non-symplectically on a K3 surface, is also given, by using Lef-schetz fixed point formula for vector bundles.
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Let S be a surface in P2 × P2 given by the intersection of a (1,1)form and a (2,2)-form. Then S is a K3 surface with two noncommuting involutions σx and σy . In 1991 the second author constructed two height functions ĥ+ and ĥ− which behave canonically with respect to σx and σy , and in 1993 together with the first author showed in general how to decompose such canonical heights into a sum of lo...
متن کاملDiscriminant of certain K 3 surfaces
In this article, we study the discriminant of those K3 surfaces with invo-lution which were introduced and investigated by Matsumoto, Sasaki, and Yoshida. We extend several classical results on the discriminant of elliptic curves to the dis-criminant of Matsumoto-Sasaki-Yoshida's K3 surfaces.
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2001
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s002290170040