Integer points on curves and surfaces |
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Authors: | Wolfgang M Schmidt |
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Institution: | (1) Department of Mathematics, University of Colorado, Campus Box 426, 80309 Boulder, CO, USA |
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Abstract: | Various upper bounds are given for the number of integer points on plane curves, on surfaces and hypersurfaces. We begin with a certain class of convex curves, we treat rather general surfaces in 3 which include algebraic surfaces with the exception of cylinders, and we go on to hypersurfaces in
n
with nonvanishing Gaussian curvature.Written with partial supports from NSF grant No. MCS-8211461. |
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