Orbits of Curves on Certain K3 Surfaces |
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Authors: | Arthur Baragar |
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Affiliation: | (1) Department of Mathematical Science, University of Nevada, Box 454020, 4505 Maryland Parkway, Las Vegas, NV, 89154-4020, U.S.A. |
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Abstract: | In this paper, we study the family of algebraic K3 surfaces generated by the smooth intersection of a (1, 1) form and a (2, 2) form in defined over and with Picard number 3. We describe the group of automorphisms on V. For an ample divisor D and an arbitrary curve C0 on V, we investigate the asymptotic behavior of the quantity . We show that the limit exists, does not depend on the choice of curve C or ample divisor D, and that .6515< <.6538. |
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Keywords: | fractal dimension K3 surface Picard group |
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