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Number of Singularities of a Generic Web on the Complex Projective Plane

โœ Scribed by Joseph N. A. Yartey


Publisher
Springer
Year
2005
Tongue
English
Weight
225 KB
Volume
11
Category
Article
ISSN
0925-4668

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An explicit formula for the number of finite cyclic projective planes or planar . ลฝ . difference sets is derived by applying Ramanujan sums Von Sterneck numbers and Mobius inversion over the set partition lattice to counting one-to-one solution vectors of multivariable linear congruences.

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Let X be the surface obtained by blowing up general points p 1 p n of the projective plane over an algebraically closed ground field k, and let L be the pullback to X of a line on the plane. If C is a rational curve on X with C โ€ข L = d, then for every t there is a natural map C C t โŠ— X X L โ†’ C C t +