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Subjects
32-XX Several complex variables and analytic spaces
32Jxx Compact analytic spaces
32J05 Compactification of analytic spaces

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Displaying 1 – 7 of 7

A compactification of ${(ℂ^{*})}^{4}$ with no non-constant meromorphic functions

Jun-Muk Hwang, Dror Varolin (2002)

Annales de l’institut Fourier

For each 2-dimensional complex torus $T$ , we construct a compact complex manifold $X (T)$ with a $ℂ^{2}$ -action, which compactifies ${(ℂ^{*})}^{4}$ such that the quotient of ${(ℂ^{*})}^{4}$ by the $ℂ^{2}$ -action is biholomorphic to $T$ . For a general $T$ , we show that $X (T)$ has no non-constant meromorphic functions.

A directional compactification of the complex Bloch variety.

H. Knörrer, E. Trubowitz (1990)

Commentarii mathematici Helvetici

A new compactification of the moduli space of curves

David Schubert (1991)

Compositio Mathematica

A new example of a compactification of C3.

Mikio Furushima (1993)

Mathematische Zeitschrift

Addendum to the paper : “Formal cohomology, analytic cohomology and non-algebraic manifolds”

Siegmund Kosarew, Thomas Peternell (1993)

Compositio Mathematica

An example of a non-projective smooth compactification of C3 with second Betti number equal to one.

Mikio Furshima (1994)

Mathematische Annalen

Äquivariante Kompaktifizierungen des Cn.

Christoph Gellhaus (1991)

Mathematische Zeitschrift

Currently displaying 1 – 7 of 7

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