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Everything about Complex torus
Kind of complex manifold
In mathematics, a complex torus is a particular kind of complex manifold M whose underlying smooth manifold is a torus in the usual sense. Here N must be the even number 2n, where n is the complex dimension of M. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Complex torusA 5-minute orientation
- Skim a recent paper: Almost Complex Torus Manifolds—Graphs and Hirzebruch GeneraInfluential work since 2022
- Pick up a classic book: Complex toriThe most-reprinted book on the subject
- Read the landmark paper: The Complex Wind Torus and Jets of PSR B1706−44Cited 54 times
- Go sideways: Representation theory of finite groupsA closely related topic
- Go sideways: Appell–Humbert theoremA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
The Complex Wind Torus and Jets of PSR B1706−44
Torus actions on homotopy complex projective spaces
Complex manifolds with maximal torus actions
Heisenberg groups and holomorphic vector bundles over a complex torus
On a Lie algebra of vector fields on a complex torus
Torus actions on homotopy complex projective spaces
A Gevrey Differential Complex on the Torus
Numerical characterization of complex torus quotients
🆕 Influential since 2022
Almost Complex Torus Manifolds—Graphs and Hirzebruch Genera
A new Garside structure on torus knot groups and some complex braid groups
Effects of seismic isolation on the dynamic behaviour of the DTT torus complex during earthquake events
Quantized vortex dynamics of the complex Ginzburg-Landau equation on the torus
Generalized complex structure on certain principal torus bundles
📚 Books worth reading
Complex toriChristina Birkenhake · 1999
Complex tori and Abelian varietiesOlivier Debarre · 2005
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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