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4 papers · 1 filter
Equivariant cohomology for Hamiltonian torus actions on symplectic orbifolds
Tara Holm, Tomoo Matsumura
In this paper, we study Hamiltonian R-actions on symplectic orbifolds [M/S], where R and S are tori. We prove an injectivity theorem and generalize Tolman-Weitsman's proof of the G…
Ray class fields generated by torsion points of certain elliptic curves
Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon
We first normalize the derivative Weierstrass -function appearing in Weierstrass equations which give rise to analytic parametrizations of elliptic curves by the Dedekind …
Normal bases of ray class fields over imaginary quadratic fields
Ho Yung Jung, Ja Kyung Koo, Dong Hwa Shin
We develop a criterion for a normal basis, and prove that the singular values of certain Siegel functions form normal bases of ray class fields over imaginary quadratic fields othe…
Projective Deformations of Hyperbolic Coxeter 3-Orbifolds
Suhyoung Choi, Craig D. Hodgson, Gye-Seon Lee
By using Klein's model for hyperbolic geometry, hyperbolic structures on orbifolds or manifolds provide examples of real projective structures. By Andreev's theorem, many 3-dimensi…