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A Note on Schanuel's Conjectures for Exponential Fields
Note Schanuel's Conjectures Exponential Fields
2012/4/18
We apply a result of J. Ax [On Schanuel's Conjectures, Annals of Mathematics 93 (1971), 252-268] to differential valued exponential fields. In particular, we establish Schanuel's conjecture regarding ...
On Kadell's two Conjectures for the $q$-Dyson Product
Dyson conjecture Dyson product Kadell’s conjecture constant term q-analog
2010/12/1
By extending Lv-Xin-Zhou’s first layer formulas of the q-Dyson product, we prove Kadell’s conjecture for the Dyson product and show the error of his q-analogous conjec-ture. With the extended formulas...
The Standard Conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes of K3 surfaces
Standard Conjectures holomorphic symplectic varieties deformation Hilbert schemes of K3 surfaces
2010/11/29
We prove the standard conjectures for complex projective varieties that are deformations of the Hilbert scheme of points on a K3 surface. The proof involves Verbitsky’s theory of hyperholomorphic shea...