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THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE:INTEGRALITY RESULTS
RELATIONS FOR THE RING INVARIANTS OF n POINTS ON THE LINE INTEGRALITY RESULTS
2015/10/14
Consider the projective coordinate ring of the GIT quotient (P1)n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [HMSV2]we s...
Integrality Properties of the CM-values of Certain Weak Maass Forms
Integrality Properties CM-values Certain Weak Maass Forms Number Theory
2011/9/15
Abstract: In a recent paper, Bruinier and Ono prove that the coefficients of certain weight -1/2 harmonic Maass forms are traces of singular moduli for weak Maass forms. In particular, for the partiti...
Modular categories, integrality and Egyptian fractions
Modular categories integrality Egyptian fractions
2011/1/18
It is a well-known result of Etingof, Nikshych and Ostrik that there are finitely many inequivalent integral modular categories of any fixed rank n.This follows from a double-exponential bound on the ...
Higher-order Integrality for Weak A -harmonic Tensors
interpolation Hodge decomposition weak A -harmonic tensor
2012/9/26
The higher integrality for the very weak solutions of the non-homogeneous A -harmonic equation (d) dAxg u dh∗∗,+ = is obtained using the result of Riesz transforms and interpolation.
The Atiyah conjecture predicts that the L2-Betti numbers of a finite CW-complex with torsion-free fundamental group are integers. We show that the Atiyah conjecture holds (with an additional technica...