Viorel Vâjâitu

Fields of research:

Functions of several complex variables (Complex analytic geometry, Stein spaces, Pseudoconvexity, Convexity in complex analysis, q-convexity and q-concavity).

Original contributions concerning:

q-complete and q-concave spaces, topology of q-complete spaces, Levi q-convexity.

Awards:

Simion Stoilow prize for Mathematics of the Romanian Academy for papers concerning Analytic convexity.

Publications:

• A complete topology for the sheaf of sections of a morphic bundle, Rev. Roumaine Math. Pures Appl., 35 (1990), 3, 49-54.
• Ilyeff's Conjecture on a Corona (with Alexandru Zaharescu), Bull. London Math. Soc., 25 (1993), 49-54.
• Cohomology with compact supports for q-complete complex spaces, J. reine angew. Math., 436 (1993), 45-56.
• On the equivalence of the definitions of q-convex spaces, Arch. Math., 61 (1993), 567--557.
• q-complete and q-convex spaces, Dissertation, Bergische Universität Wuppertal, Germany, (1993), 71 pages.
• Invariance of cohomological q-completeness under finite holomorphic surjections, Manuscripta Math., 82 (1994), 113-124.
• Approximation theorems and homology of q-Runge domains in complex spaces, J. reine angew. Math., 449 (1994), 179-199.
• Some convexity properties of morphisms of complex spaces, Math. Z., 217 (1994), 215-245.
• Stein domains in P^n, Rev. Roumaine Math. Pures Appl., 39 (1994), 4, 271-277.
• An increasing union of q-complete manifolds whose limit is not q-complete, J. Math. Kyoto Univ., 35-3 (1995), 535-538.
• On q-complete domains with smooth boundary, C. R. Acad. Sci. Paris, t. 321, Série I, (1995), 981-985.
• q-completeness and q-concavity of the union of open subspaces, Math. Z., 221 (1996), 217-229.
• Kählerianity of q-Stein spaces, Arch. Math., 66 (1996), 250-257.
• On locally hyperconvex morphisms, C. R. Acad. Sci. Paris, t. 322, Série I, (1996), 823-826.
• Cohomological q-convexity in projective manifolds, Kobe J. Math., Vol. 13, No. 1 (1996), 117-122.
• Holomorphic q-hulls in top degrees, Manuscripta Math., 91 (1996), 195-210.
• Cohomology groups of locally q-complete morphisms with p-complete base, Math. Scand., 79 (1996), 161-175.
• Locally q-complete open sets in Stein spaces with isolated singularities, Kyushu Math. Journal, 51 (1997), 355-368.
• On increasing unions of q-complete manifolds, Rev. Roumaine Math. Pures Appl., 43 (1998), 235-244.
• One dimensional fibering over q-complete spaces, Nagoya Journal of Mathematics, 151 (1998), 1-8.
• Neighborhoods of Levi q-convex domains, The Journal of Geometric Analysis 8 (1998), 163-177.
• On P-complete morphisms of complex spaces, Geometric Complex Analysis, Proc. the third International Research Institute, Math. Soc. Japan, Hayama 1995; Eds. J. Noguchi, H. Fujimoto, J. Kajiwara, and T. Ohsawa,
• Runge theorems in higher dimensions, Volume Complex Analysis and Geometry, Ancona et al eds., Pitman Research Notes in Mathematics, (1996), 165-181.
• Locally trivial fibrations with singular 1-dimensional Stein fibre over q-complete spaces (with M. Coltoiu), Nagoya Math. J. 147 (2000), 1-13.
• The analyticity of q-concave sets of locally finite Hausdorff (2n-2q)-measure, Ann. Inst. Fourier Grenoble 54 (2000), 1191-1203.
• Pseudoconvex domains over q-complete manifolds, Ann. Sc. Norm. Sup. Pisa 29 (2000), 503-530.
• On n-completeness of covering spaces with parameters (with M. Coltoiu), Math. Z. 237 (2001), 815-831.
• On embeddable 1-convex spaces, Osaka J. Math. 38 (2001), 287-294.
• Convexity properties for cycle spaces (with D. Barlet), Michigan Math. J. 50 (2002), 57-70.
• A relative Oka-Grauert principle on 1-convex spaces (with J. Leiterer), J. reine angew. Math. 564 (2003), 85-104.