The moduli and the global period mapping of surfaces with : a counterexample to the global Torelli problem
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The Picard group of a primary Kodaira surface.
Vasile Brinzanescu (1993)
Mathematische Annalen
The Shafarevich-Tate Conjecture for Pencils of Elliptic Curves on K3 Surfaces.
M. Artin, H.P.F. Swinnerton-Dyer (1973)
Inventiones mathematicae
The Soliton-Ricci Flow with variable volume forms
Nefton Pali (2016)
Complex Manifolds
We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the Soliton-Ricci flow. It corresponds to a forward Ricci type flow up to a gauge transformation. This gauge is generated by the gradient of the density of the volumes. The new Soliton-Ricci flow exist for all times. It represents the gradient flow of...
The Torelli map at the boundary of the Schottky space.
L. Gerritzen (1990)
Journal für die reine und angewandte Mathematik
Theta functions on -bundles over with the zero Euler class.
Egorov, D.V. (2009)
Sibirskij Matematicheskij Zhurnal
Theta functions on the Kodaira-Thurston manifold.
Egorov, D.V. (2009)
Sibirskij Matematicheskij Zhurnal
Three-manifolds and Kähler groups
D. Kotschick (2012)
Annales de l’institut Fourier
We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kähler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is both the fundamental group of a closed three-manifold and of a non-Kähler compact complex surface is or .
Torelli theorems for Kähler K3 surfaces
Eduard Looijenga, Chris Peters (1980)
Compositio Mathematica
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