List of publications
Prof. Dr. Lucian Badescu
University of Bucharest, Faculty of Mathematics
and
the Institute of Mathematics of the Romanian Academy, Bucharest,
Romania
Monographs:
- Algebraic Surfaces (in Romanian), Editura Academiei Romane,
Bucharest, 1981.
- Lectures on Geometry (in Romanian), Editura Universit\u a\c tii
Bucure\c sti, Bucharest 1999.
- Algebraic Surfaces, Universitext, Springer-Verlag,
Berlin-Heidelberg-New York, 2001 (translation of [1] with a new
chapter, a new appendix and an updated bibliography).
- Special Chapters of Projective Geometry, Dottorato di Ricerca
in Matematica, Consorzio delle Universit\`a di Brescia, Milano,
Milano Politecnico, Trieste; Quaderni del Dottorato
No. 7, Milano 1999.
Articles:
- Adjoint contravariant functors (in Romanian), Stud. Cerc. Mat. 17 (1965),
1141-1152.
- Extension de la definition des foncteurs derives pour les
categories abeliennes, Revue Roumaine Math. Pur. Appl. 11 (1966), 103-107.
- (With M. Moroianu) Sur une classe de morphismes de preschemas,
Compt. Rendus Acad. Sci. Paris 268 (1969), 1609-1611.
- (With M. Moroianu) Quelques proprietes d'une classe des
morphismes de preschemas, Compt. Rend. Acad. Sci Paris 269 (1969),
279-280.
- (With M. Moroianu) A characterization of morphisms of a scheme into
and applications to ample sheaves (in Romanian), Stud. Cerc. Mat.
21 (1969), 1449-1463.
- Sur les schemas eclates, Revue Roumaine Math. Pur. Appl.
15 (1970), 1133-1142.
- Sur un critere de contractibilite rationnelle, Compt. Rend.
Acad. Sci. Paris 274 (1972), 1462-1465.
- Contractions rationnelles a un point et l' etude d'une classe
des singularites, Compt. Rend. Acad. Sci. Paris 274 (1972), 1491-1493.
- (With M. Moroianu) Algebraic contractions and complete intersections,
Atti Accad. Naz. Lincei (Rend. Cl. Sci. Fis. Mat. Natur.) 52 (1972),
884-892.
- Some results on algebraic contractions (in Romanian), Stud. Cerc. Mat.
25 (1973), 177-216.
- Sur certaines singularites des varietes algebriques,
in ``Categories and Commutative Algebra'' (P. Salmon, editor), Ed. Cremonese,
Roma (1973), pp. 3-9.
- Contractions rationnelles des varietes algebriques,
Annali Sc. Norm. Sup. Pisa 27 (Cl. Sci. IV) (1973), 743-768.
- Contractions algebriques et applications, Revue Roumaine Math. Pur.
Appl. 19 (1974), 143-160.
- (With M. Fiorentini) Criteri di semifattorialita e di fattorialita
per anelli locali con applicazioni geometriche, Annali Mat. Pura Appl.
53 (1975), 211-222.
- On certain isolated normal singularities, Nagoya Math. J. 61 (1976),
205-220.
- Suppl ement a l'article ``Contractions rationnelles des
vari et es alg ebriques'', Revue Roumaine Math. Pur. Appl. 21
(1976), 977-983.
- (With N. Manolache) Segre-Veronese embeddings, Revue Roumaine Math.
Pur. Appl. 22 (1977), 1195-1213.
- A remark on the Grothendieck-Lefschetz theorem about the Picard group,
Nagoya Math. J. 71 (1978), 169-179.
- Applications of the Grothendieck duality theory to the study of normal
isolated singularities, Revue Roumaine Math. Pur. Appl. 24 (1979), 683-689.
- Sur les diviseurs amples, Compt. Rend. Acad. Sci. Paris 290 (1980),
961-963.
- Dualizing divisors of two-dimensional singularities, Revue Roumaine
Math. Pur. Appl. 25 (1980), 695-707.
- Autres resultats sur les diviseurs amples, Compt. Rendus Acad.
Sci Paris 292 (1981), 909-912.
- On ample divisors, Nagoya Math. J. 86 (1982), 155-171.
- On ample divisors: II, in ``Proceedings of the Week of Algebraic
Geometry'', Bucharest 1980, (L. Badescu, H. Kurke, editors), Teubner-Texte
zur Mathematik, Band 40, Leipzig 1981, pp. 12-32.
- The projective plane blown up at a point as an ample divisor,
Atti Ligure Scienze e Lettere 38 (1981), 3-7.
- Hyperplane sections and deformations (Research announcement),
in `` Recent Trends in Mathematics'', Reinhardsbrunn 1982, (H. Kurke,
Mecke, H. Triebel, R. Thiele, editors), Teubner-Texte zur Mathematik,
Band 50, Leipzig 1983, pp. 13-19.
- Anticanonical models of ruled surfaces, Annali Univ. Ferrara 29 (1983),
165-177.
- Hyperplane sections and deformations, in ``Algebraic Geometry'',
Proceedings, Bucharest 1982 (L. Badescu, D. Popescu, editors), Lecture
Notes in Math. Vol. 1056, Springer-Verlag 1984, pp. 1-33.
- Normal projective degenerations of rational and ruled surfaces
(Research announcement), An. Univ. ``Al. I. Cuza'' Jassy, Sec. I Mat.
(Supplement), 31 (1985), 4-10.
- Normal projective degenerations of rational and ruled surfaces, J.
reine angew. Math. (Crelles J.) 367 (1986), 76-89.
- Local properties of the degenerations of rational surfaces, Revue
Roumaine Math. Pur. Appl. 31 (1986), 471-477.
- A criterion for hyperplane sections, Math. Proc. Cambridge Phil.
Soc. 103 (1988), 59-67.
- The graded algebra associated to a divisor on a smooth projective
surface (in Romanian), in ``Classical and modern aspects in complex analysis'',
Edit. Stiintifica si Enciclopedica, Bucharest 1988, pp. 295-337.
- Infinitesimal deformations of negative weights and hyperplane sections,
in ``Algebraic Geometry'', Proceedings, L'Aquila 1988 (A.J. Sommese,
Biancofiore, E.L. Livorni, editors), Lecture Notes in
Math. Vol. 1417, Springer-Verlag 1990, pp. 1-22.
- Polarized varieties with no deformations of negative weights, in
``Geometry of complex projective varieties'', Proceedings, Cetraro 1990
(A. Lanteri, M. Palleschi, D.C. Struppa, editors), Mediterranean Press,
Rende (Italy) 1993, pp. 9-33.
- (With E. Ballico) Formal rational functions along zero loci of sections
of ample vector bundles, Revue Roumaine Math. Pur. App. 38 (1993), 609-630.
- Lefschetz type results for proper intersections, in ``Classification
of Algebraic Varieties'', Proceedings, L'Aquila 1992 (C. Ciliberto, E.L.
Livorni, A.J. Sommese, editors), Contemporary Math. (American Mathematical
Society) 162 (1994), pp. 19-30.
- On a result of Zak-L'vovsky, in ``Projective Geometry with
Applications''
(E. Ballico, editor), Lecture Notes in Pure and Appl. Mathematics, Vol. 166,
Marcel Dekker, Inc., New York, Basel, Honk Kong, 1994, pp. 19-30.
- Algebraic Barth-Lefschetz theorems, Nagoya Math. J. 142 (1996), 17-38.
- (With M. Schneider) A criterion for extending meromorphic functions,
Math. Annalen 305 (1996), 293-302.
- (With M. Beltrametti and P. Francia) Positive curves in polarized
manifolds, Manuscripta Math. 92 (1997), 369-388.
- (With M. Schneider) Formal-rational functions on homogeneous
spaces, MPI 97-57, Max-Planck-Institut fuer Mathematik, Bonn 1997.
- (With M. Beltrametti and P. Ionescu) Quasi-lines and almost-lines on
projective manifolds, in ``Complex Geometry
- in Memory of Michael Schneider'',
Proceedings of the Symposium of Complex Analysis and Algebraic Geometry,
held in Bayreuth, June 11-13, 1998 (T. Peternell and F.-O. Schreyer, editors),
De Gruyter, 2000, pp. 1-27.
- On some contractibility criteria of curves on surfaces, in
``Sitzungsberichte der Berliner Mathematischen Gesellschaft'', 2000
(on the occasion of sixtieth anniversary of Herbert Kurke).
- Semi-affiness and formal functions, Mathematical Reports
(formerly Stud. Cerc. Mat.) 3 (2001) (on the occasion of seventieth
anniversary of Nicolae Radu, to appear).