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Intersection theory on Shimura surfaces II
Intersection theory Shimura surfaces II Number Theory
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2012/3/1
This is the third of a series of papers relating intersections of special cycles on the integral model of a Shimura surface to Fourier coefficients of Hilbert modular forms. More precisely, we embed t...
Intersection theory on Shimura surfaces
Intersection theory Shimura surfaces intersection multiplicities
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2012/3/1
Kudla has proposed a general program to relate arithmetic intersection multiplicities of special cycles on Shimura varieties to Fourier coefficients of Eisenstein series. The lowest dimensional case, ...
The intersection of cyclic Kummer extensions with cyclotomic extensions
cyclic Kummer extensions cyclotomic extensions Number Theory
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2011/9/19
Abstract: We study to which extent cyclic Kummer extensions can be contained in a cyclotomic extension. Let K be a field, and consider an extension of K of the form K(z_m, sqrt[n]{a}) where a is in K,...
There exists no distance-regular graph with intersection array {55,36,11;1,4,45}
distance-regular graph intersection array
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2010/11/12
We prove that a distance-regular graph with intersection array $\{55,36,11;1,4,45\}$ does not exist. This intersection array is from the table of feasible parameters for distance-regular graphs in "Di...