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We prove that a Cousin-I open set D of an irreducible projective surface X is locally Stein at every boundary point which lies in $X_{r e g}$ . In particular, Cousin-I proper open sets of ℙ² are Stein. We also study K-envelopes of holomorphy of K-complete spaces.

Covariant Cauchy-Riemann operators and higher Laplacians on Kähler manifolds.

Jaak Peetre, Miroslav Englis (1996)

Journal für die reine und angewandte Mathematik

Covariant differential operators.

Thomas J. Enright, Mark G. Davidson (1990)

Mathematische Annalen

Covering spaces of an elliptic surface

R. V. Gurjar, A. R. Shastri (1985)

Compositio Mathematica

Covering spaces of families of compact Riemann surfaces.

Terrence Napier (1992)

Mathematische Annalen

Coverings defined by Weierstraß polynomials.

Vagn Lundsgaard Hansen (1980)

Journal für die reine und angewandte Mathematik

Coverings of 1-convex manifolds with 1-dimensional exceptional set.

Mihnea Coltoiu (1993)

Commentarii mathematici Helvetici

Coxeter elements for vanishing cycles of types $A_{\frac{1}{2} \infty}$ and $D_{\frac{1}{2} \infty}$

Kyoji Saito (2011)

Annales de l’institut Fourier

We introduce two entire functions $f_{A_{\frac{1}{2} \infty}}$ and $f_{D_{\frac{1}{2} \infty}}$ in two variables. Both of them have only two critical values $0$ and $1$ , and the associated maps $C^{2} \to C$ define topologically locally trivial fibrations over $C ∖ {0, 1}$ . All critical points in the singular fibers over $0$ and $1$ are ordinary double points, and the associated vanishing cycles span the middle homology group of the general fiber, whose intersection diagram forms bi-partitely decomposed infinite quivers of type $A_{\frac{1}{2} \infty}$ and $D_{\frac{1}{2} \infty}$ , respectively. Coxeter elements of type $A_{\frac{1}{2} \infty}$ and...

Coxeter-Dynkin diagrams of fat points in C² and of their stabilizations.

W. Ebeling, S.M. Gusein-Zade (1996)

Mathematische Annalen

Coxeter-Dynkin diagrams of the complete intersection singularities Z9 and Z10.

W. Ebeling, S.M. Gusein-Zade (1995)

Mathematische Zeitschrift

CR geometry and Cartan geometry.

Masatake Kuranishi (1995)

Forum mathematicum

CR mappings and their holomorphic extension

Mohamed S. Baouendi, Linda P. Rothschild (1987)

Journées équations aux dérivées partielles

CR mappings between real hypersurfaces in complex space

M. S. Baouendi, L. P. Rothschild (1987/1988)

Séminaire Équations aux dérivées partielles (Polytechnique)

CR singular immersions of complex projective spaces.

Coffman, Adam (2002)

Beiträge zur Algebra und Geometrie

CR structures and Fefferman's conformal structures.

Masatake Kuranishi (1997)

Forum mathematicum

CR structures with group action and extendability of CR function.

M.S. Baouendi, L.P. Rothschild (1985)

Inventiones mathematicae

CR submanifolds of maximal CR dimension in complex manifolds

Mirjana Djorić, Masafumi Okumura (2002)

Banach Center Publications

The aim of this paper is to investigate n-dimensional real submanifolds of complex manifolds in the case when the maximal holomorphic tangent space is (n-1)-dimensional. In particular, we give some examples and we consider the Levi form on these submanifolds, especially when the ambient space is a complex space form. Moreover, we show that on some remarkable class of real hypersurfaces of complex space forms, the Levi form cannot vanish identically.

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