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GALOIS THEORY OF ITERATED MORPHISMS ON REDUCIBLE ELLIPTIC CURVES AND ABELIAN SURFACES WITH REAL MULTIPLICATION
Kummer map elliptic curves abelian surfaces with real multiplication
2014/12/8
Let $F$ be a number field and let $A$ be an abelian algebraic group defined over $F$. For a prime $\ell$ and a point $\alpha \in A(F)$, we obtain the tower of extensions $F([\ell^n]^{-1}(\alpha))$ by ...
Acyclic embeddings of open Riemann surfaces into new examples of elliptic manifolds
Holomorphic embedding Riemann surface Oka manifold Stein manifold elliptic manifold affine manifold
2011/8/22
Abstract: The geometric notion of ellipticity for complex manifolds was introduced by Gromov in his seminal 1989 paper on the Oka principle, and is a sufficient condition for a manifold to be Oka. In ...
Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
Moduli of K3 Surfaces Irreducible Symplectic Manifolds
2011/2/22
The name “K3 surfaces” was coined by A. Weil in 1957 when he formulated a research programme for these surfaces and their moduli.
Concerning the $L^4$ norms of typical eigenfunctions on compact surfaces
typical eigenfunctions compact surfaces
2010/11/8
Let $(M,g)$ be a two-dimensional compact boundaryless Riemannian manifold with Laplacian, $\Delta_g$. If $e_\lambda$ are the associated eigenfunctions of $\sqrt{-\Delta_g}$ so that $-\Delta_g e_\lamb...
On 1-point Gromov-Witten invariants of the Hilbert schemes of points on surfaces
Hilbert schemes projective surfaces Gromov-Witten invariants
2010/3/1
We compute certain 1-point genus-0 Gromov-Witten invariants of the Hilbert scheme of points on a simply-connected smooth projective surface.
Fourier Restriction Estimates to Mixed Homogeneous Surfaces
Restriction theorems Fourier transform
2010/1/25
Let be real numbers such that and let a mixed homogeneous function. We consider polynomial functions and also functions of the type Let with the Lebesgue induced measure. For and let where d...