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:

  1. Algebraic Surfaces (in Romanian), Editura Academiei Romane, Bucharest, 1981.
  2. Lectures on Geometry (in Romanian), Editura Universit\u a\c tii Bucure\c sti, Bucharest 1999.
  3. Algebraic Surfaces, Universitext, Springer-Verlag, Berlin-Heidelberg-New York, 2001 (translation of [1] with a new chapter, a new appendix and an updated bibliography).
  4. Projective Geometry and Formal Geometry (research monograph), to appear.

Articles:

  1. Adjoint contravariant functors (in Romanian), Stud. Cerc. Mat. 17 (1965), 1141-1152.
  2. Extension de la definition des foncteurs derives pour les categories abeliennes, Revue Roumaine Math. Pur. Appl. 11 (1966), 103-107.
  3. (With M. Moroianu) Sur une classe de morphismes de preschemas, Compt. Rendus Acad. Sci. Paris 268 (1969), 1609-1611.
  4. (With M. Moroianu) Quelques proprietes d'une classe des morphismes de preschemas, Compt. Rend. Acad. Sci Paris 269 (1969), 279-280.
  5. (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.
  6. Sur les schemas eclates, Revue Roumaine Math. Pur. Appl. 15 (1970), 1133-1142.
  7. Sur un critere de contractibilite rationnelle, Compt. Rend. Acad. Sci. Paris 274 (1972), 1462-1465.
  8. Contractions rationnelles a un point et l' etude d'une classe des singularites, Compt. Rend. Acad. Sci. Paris 274 (1972), 1491-1493.
  9. (With M. Moroianu) Algebraic contractions and complete intersections, Atti Accad. Naz. Lincei (Rend. Cl. Sci. Fis. Mat. Natur.) 52 (1972), 884-892.
  10. Some results on algebraic contractions (in Romanian), Stud. Cerc. Mat. 25 (1973), 177-216.
  11. Sur certaines singularites des varietes algebriques, in ``Categories and Commutative Algebra'' (P. Salmon, editor), Ed. Cremonese, Roma (1973), pp. 3-9.
  12. Contractions rationnelles des varietes algebriques, Annali Sc. Norm. Sup. Pisa 27 (Cl. Sci. IV) (1973), 743-768.
  13. Contractions algebriques et applications, Revue Roumaine Math. Pur. Appl. 19 (1974), 143-160.
  14. (With M. Fiorentini) Criteri di semifattorialita e di fattorialita per anelli locali con applicazioni geometriche, Annali Mat. Pura Appl. 53 (1975), 211-222.
  15. On certain isolated normal singularities, Nagoya Math. J. 61 (1976), 205-220.
  16. Suppl ement a l'article ``Contractions rationnelles des vari et es alg ebriques'', Revue Roumaine Math. Pur. Appl. 21 (1976), 977-983.
  17. (With N. Manolache) Segre-Veronese embeddings, Revue Roumaine Math. Pur. Appl. 22 (1977), 1195-1213.
  18. A remark on the Grothendieck-Lefschetz theorem about the Picard group, Nagoya Math. J. 71 (1978), 169-179.
  19. Applications of the Grothendieck duality theory to the study of normal isolated singularities, Revue Roumaine Math. Pur. Appl. 24 (1979), 683-689.
  20. Sur les diviseurs amples, Compt. Rend. Acad. Sci. Paris 290 (1980), 961-963.
  21. Dualizing divisors of two-dimensional singularities, Revue Roumaine Math. Pur. Appl. 25 (1980), 695-707.
  22. Autres resultats sur les diviseurs amples, Compt. Rendus Acad. Sci Paris 292 (1981), 909-912.
  23. On ample divisors, Nagoya Math. J. 86 (1982), 155-171.
  24. 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.
  25. The projective plane blown up at a point as an ample divisor, Atti Ligure Scienze e Lettere 38 (1981), 3-7.
  26. 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.
  27. Anticanonical models of ruled surfaces, Annali Univ. Ferrara 29 (1983), 165-177.
  28. 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.
  29. Normal projective degenerations of rational and ruled surfaces (Research announcement), An. Univ. ``Al. I. Cuza'' Jassy, Sec. I Mat. (Supplement), 31 (1985), 4-10.
  30. Normal projective degenerations of rational and ruled surfaces, J. reine angew. Math. (Crelles J.) 367 (1986), 76-89.
  31. Local properties of the degenerations of rational surfaces, Revue Roumaine Math. Pur. Appl. 31 (1986), 471-477.
  32. Examples of local normal rings with isolated singularity of given dimension and depth (in Romanian), in ``Seminarul de Algebr\u a: Inele \c si module Cohen-Macaulay'', Universitatea ``Al. I. Cuza'' ia\c si, Facultatea de Matematic\u a, 1986, chap. XII (1-9).
  33. A criterion for hyperplane sections, Math. Proc. Cambridge Phil. Soc. 103 (1988), 59-67.
  34. 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.
  35. 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.
  36. Hyperplane sections in Algebraic Geometry (in Romanian), in the volume ``Probleme actuale ale cercet\u arii matematice'', Vol. I, Universitatea Bucure\c sti, Facultatea de Matematic\u a, 1990, pp. 61-71
  37. 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.
  38. (With E. Ballico) Formal rational functions along zero loci of sections of ample vector bundles, Revue Roumaine Math. Pur. App. 38 (1993), 609-630.
  39. 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.
  40. 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.
  41. Algebraic Barth-Lefschetz theorems, Nagoya Math. J. 142 (1996), 17-38.
  42. (With M. Schneider) A criterion for extending meromorphic functions, Math. Annalen 305 (1996), 293-302.
  43. (With M. Beltrametti and P. Francia) Positive curves in polarized manifolds, Manuscripta Math. 92 (1997), 369-388.
  44. Special chapters of projective geometry, Dottorato di Ricerca in Matematica, Consorzio delle Universita di Brescia, Milano, Milano Politecnico, Trieste, Quaderni del Dottorato, No. 7, Milano 1999. (See also: Rendinconti del Seminario Matematico e Fisico di Milano 79 (1979), 99-186.)
  45. (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.
  46. On some contractibility criteria of curves on surfaces, in ``Sitzungsberichte der Berliner Mathematischen Gesellschaft'', 2000 (on the occasion of sixtieth anniversary of Herbert Kurke).
  47. Semi-affiness and formal functions, Mathematical Reports (formerly Stud. Cerc. Mat.) 3 (53), No. 4 (2001) (on the occasion of seventieth anniversary of Nicolae Radu, to appear).
  48. Formal Functions in Algebraic Geometry, Mathematical Reports (formerly Stud. Cerc. Mat.) 3 (54), No. 1 (2002) (46 pages, to appear).
  49. Formal functions, connectivity and homogeneous speces, Algebraic Geometry, Genova, September 25-29, 2001 (dedicated to the memory of Paolo Francia), De Gruyter, to appear