LIST OF PUBLICATIONS. Contents 1. Scientific publications in journals with referee Other publications. 7
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1 LIST OF PUBLICATIONS. PHILIPPE ELLIA Contents 1. Scientific publications in journals with referee Other publications Scientific publications in journals with referee. (79) Spaces of matrices of constant rank and uniform vector bundles, Linear Algebra Appl., 507, (2016) [with P. Menegatti] (78) On the Buchsbaum index of rank two vector bundles on P 3, Rend. Istit. Mat. Univ. Trieste, 47, 65-79, (2015) [with L. Gruson] (77) Complete intersections primitive structures on space curves, Internat. J. Math., 26, n.12, , 8 pp. (2015) (76) A restriction theorem for stable rank two vector bundles on P 3, J. of Algebra, 438, (2015) [with L. Gruson] (75) On Ramanujan-Nagell type equations and perfect numbers, The Fibonacci Quarterly, vol. 53, n 1, (2015) [with P. Menegatti] (74) Self-linked curves and normal bundle, J. of Pure and Applied Algebra, 219, n.1, (2015) (73) Chern classes of rank two globally generated vector bundles on P 2, Rend. Lincei Mat. Appl., 24, (2013). (72) On the distance between perfect numbers, J. of Combinatorics and Number Theory, vol. 4, n.2, (2012) (71) A remark on the radical of odd perfect numbers, The Fibonacci Quarterly, vol. 50, n.3, (2012) Date: October 13, 2016.
2 2 PHILIPPE ELLIA (70) Rank two globally generated vector bundles with c 1 5, Rend. Istit. Mat. Univ. Trieste, vol. 44, (2012) [with L. Chiodera] (69) Smooth divisors of projective hypersurfaces, Comment. Math. Helv. 83, no. 2, (2008) [with D. Franco and L. Gruson] (68) Codimension two subvarieties and related questions, in Vector bundles and low codimensional subvarieties: state of the art and recent developments, Quad. Mat. Dept. Math., Seconda Univ. Napoli, 21, (2007) (67) Global generation, Rend. Istit. Mat. Univ. Trieste, 39, , (2007) [with A. Trambaiolli] (66) On smooth surfaces in P 4 containing a plane curve, Illinois J. Math., 51, n0. 2, , (2007) [with C. Folegatti] (65) On subcanonical surfaces in P 4, Math. Z., 251, (2005) [with D. Franco and L. Gruson] (64) On the canonical map of smooth surfaces in P 4, Comm. in Algebra, 32, n.2, (2004) [with C. Folegatti] (63) Lifting invariants of projective subschemes, International J. of Math., 14, (2003) (62) A survey on the classification of codimension two subvarities of P n, Le Matematiche (special issue: Proceedings of the Conference in honour of S. Greco), vol. LV, (2000) (61) On codimension two subvarieties of P 5, P 6, J. Algebraic Geometry, 11, (2002) [with D. Franco] (60) On smooth surfaces in projective four-space lying on quartic hypersurfaces with isolated singularities, Comm. in Algebra, vol 28, n. 12, (2000) [with D. Franco] (59) Gonality, Clifford index and multisecants of space curves, J. Pure and Applied Algebra, 158, (2001) [with D. Franco] (58) A note on rational surfaces in P 4, J. Pure and Applied Algebra, 152, (2000)
3 LIST OF PUBLICATIONS 3 (57) Le problème de Brill-Noether pour les fibrés de Steiner et application, Ann. Sc. Ecole Norm. Sup.,32, (1999) [with A. Hirschowitz-L. Manivel] (56) Fat points on rational normal curves, J. of Algebra, 216, (1999) [with. M.V Catalisano-A. Gimigliano] (55) On codimension two k-buchsbaum subvarieties of P n, Lect. Notes in Pure and Applied Math., (M. Dekker Inc.), 206, (1999) [with A. Sarti] (54) Smooth specializations of space curves: questions and examples, Lect. Notes in Pure and Applied Math., (M. Dekker Inc.), 206, (1999) [with R. Hartshorne] (53) Some classes of non general type subvarieties of codimension two in P n, Ann. Univ. Ferrara, XLIII, (1997) [with A.C. De Candia] (52) Double structures and normal bundle of space curves, J. of the London Math. Soc., 58, (1998) (51) On the equations defining quasi complete intersection space curves, Arch. der Math., 69, 1-6 (1997) [with V. Beorchia] (50) Smooth surfaces in P 4 ruled in conics, in Algebraic Geometry: papers presented for the Europroj conferences in Catania and Barcelona, (Ed. P.Newstead), Lect. Notes in Pure and Applied Math., (M. Dekker Inc.) 200, (1998) [with G. Sacchiero] (49) Curves of maximum genus in the range A and stick-figures, Transactions of the American Math. Soc., vol. 349, n.11, (1997) [with E. Ballico- G. Bolondi-R.M. Mirò Roig] (48) Curves on generic surfaces of high degree through a complete intersection in P 3, Geometriae Dedicata, 65, (1997) [with A. Dolcetti] (47) On subcanonical curves lying on smooth surfaces in P 3, Revue Roumaine de Mathématiques Pures et Appliquées, XL, n.3-4, (1995) [with G. Casnati-A. Dolcetti] (46) Some remarks on first infinitesimal neighbourhoods of space curves, Communications in Algebra, 23, (1995) [with A. Dolcetti]
4 4 PHILIPPE ELLIA (45) On the cohomology of projective space curves, Boll. U.M.I., (7) 9-A, (1995) (44) Some vanishings for the cohomology of stable rank two vector bundles on P 3, J. für die reine u. angew. Math. (Crelle s J.), 451, 1-14 (1994) (43) Sur la cohomologie de certains fibrés de rang deux sur P 3, Ann. Univ. Ferrara, sez.vii-sc. Mat., vol. XXXVIII, (1992) (42) Normal bundle and complete intersections, Rend. Sem. Mat. Univ. Politec. di Torino, vol. 48, 4, (1990) [with V. Beorchia] (41) On the number of irreducible components of the Hilbert scheme of smooth space curves, International J. of Math., Vol.3, No. 6, (1992) [with A. Hirschowitz-E. Mezzetti] (40) Voie ouest I: génération de certains fibrés sur les espaces projectifs et application, J. Algebraic Geometry 1, (1992) [with A. Hirschowitz] (39) Sections planes et majoration du genre des courbes gauches, in Complex projective geometry, Proc. Trieste-Bergen, London Math. Soc. Lect. Notes Series (Cambridge Univ. Press) 179, (1992) [with R. Strano] (38) Une remarque sur la lissification des courbes gauches, C. R. Acad. Sc. Paris, 312, , (1991) [with A. Hirschowitz] (37) Sur le genre maximal des courbes gauches de degré d non sur une surface de degré s 1, J. für die reine u. angew. Math. (Crelle s J.), 413, 78-87, (1991) (36) Some connections between equations and geometric properties of curves in P 3, in Geometry and complex variables, Proc. of the IX centennial of the University of Bologna, (1991) M. Dekker, Inc. [with M. Idà] (35) Groupes de points de P 2 : caractère et position uniforme, in Algebraic Geometry, Proc. L Aquila 1988, Lect. Notes in Math. 1417, (1990) Springer-Verlag [with Ch. Peskine] (34) Sur les lacunes d Halphen, in Algebraic curves and projective geometry, Proc. Trento 1988, Lect. Notes in Math. 1389, (1989) Springer-Verlag (33) On the existence of curves with maximal rank in P n, J. für die reine u. angew. Math. (Crelle s J.), 397, 1-22, (1989) [with E. Ballico]
5 LIST OF PUBLICATIONS 5 (32) On projections of ruled and Veronese surfaces, J. of Algebra, vol.121, n.2, , (1989) [with E. Ballico] (31) Une remarque sur les systémes linéaires sans points base d hypersurfaces de l espace projectif, Ann. Univ. Ferrara, sez.vii-sc. Mat., vol. XXXIV, (1988) (30) On space curves with maximal genus in the range A, Revue Roumaine de Math. pures et appliquées, XXXIII, no.3, , (1988) [with E. Ballico] (29) Bonnes petites composantes des schémas de Hilbert de courbes lisses de P n, C. R. Acad. Sc. Paris, 306, , (1988) [with E. Ballico] (28) Quelques remarques sur les courbes arithmétiquement Buchsbaum de l espace projectif, Ann. Univ. Ferrara, sez.vii-sc. Mat., vol.xxxiii, , (1987) [with M. Fiorentini] (27) The maximal rank conjecture for non special curves in P n, Math. Z., 196, , (1987) [with E. Ballico] (26) On the postulation of a general projection of a curve in P n, Ann. di Mat. pura ed applicata, (IV) vol.cxlvii, , (1987) [with E. Ballico] (25) On the cohomology of projective curves, in Families of projective curves, Proceedings, Rocca di Papa 1985, Lecture Notes in Math.,Springer-Verlag, 1266, 74-83, (1987) [with I. Sols] (24) Beyond the maximal rank conjecture for curves in P 3, in Families of projective curves, Proceedings, Rocca di Papa 1985, Lecture Notes in Math., Springer-Verlag, 1266, 1-23, (1987) [with E. Ballico] (23) Une remarque sur un théorème de Gruson- Lazarsfeld - Peskine, Arch. Math., 48, , (1987) (22) D autres composantes non réduites de Hilb(P 3 ), Math. Ann., 277, , (1987) (21) Postulation of general canonical curves in P n, n 4, Boll. U.M.I., serie VI, vol.v-d,n.1, , (1986) [with E. Ballico]
6 6 PHILIPPE ELLIA (20) A program for space curves, in Algebraic varieties of small dimension, Proceedings, Torino 1985, Rendiconti del Seminario Mat.-Univ. e Politec. di Torino, vol. speciale 1986, 25-42, (1986) [with E. Ballico] (19) On the hypersurfaces containing a general projective curve, Compositio Math., 60, 85-95, (1986) [with E. Ballico] (18) Sur le fibré normal des courbes de P 3, Seminari di Geometria 1985, Università degli Studi di Bologna, Dipartimento di Matematica, (1986) (17) Points rationnels de courbes génériques de P 3, Boll. U.M.I., serie VI, vol.iv-d, N.1, , (1985) (16) On the postulation of a general projection of a curve in P 3, Ann. di Mat. pura ed applicata, (IV) vol.cxlii, 15-48, (1985) [with E. Ballico] (15) On the postulation of many disjoint rational curves in P n, n 4, Boll.U.M.I.(6), 4-B, , (1985) [with E. Ballico] (14) The maximal rank conjecture for non special curves in P 3, Invent. Math., 79, , (1985) [with E. Ballico] (13) On postulation of curves in P 4, Math. Z. 188, , (1985) [with E. Ballico] (12) Défaut de postulation et singularités du schéma de Hilbert, Ann. Univ. Ferrara, sez.vii, vol.xxx, , (1984) [with M. Fiorentini] (11) On postulation of curves: embeddings by complete linear systems, Arch. Math., 43, , (1984) [with E. Ballico] (10) Sur la postulation des courbes de P n et de leurs projections, C.R. Acad. Sc. Paris, 299, , (1984) [with E. Ballico] (9) Some more examples of curves in P 3 with stable normal bundle, J. für die reine u. angew. Math. (Crelle s J.), 350, 87-93, (1984) [with E. Ballico] (8) Exemples de courbes de P 3 à fibré normal semi-stable, stable, Math. Ann., 264, , (1983) (7) Faisceaux réflexifs stables: le spectre n est pas toujours constant, C. R. Acad. Sc. Paris, 296, 55-58, (1983) (6) Generic curves of small genus in P 3 are of maximal rank, Math. Ann., 264, , (1983) [with E. Ballico]
7 LIST OF PUBLICATIONS 7 (5) On degeneration of projective curves, Algebraic geometry-open problems, Proceedings, Ravello, 1982, Lecture Notes in Math.(Springer-Verlag), 997, 1-15, (1983) [with E. Ballico] (4) Fibrés uniformes de rang cinq sur P 3, Bull. Soc. Math. France, 111, 59-87, (1983) [with E. Ballico] (3) Fibrés homogènes sur P n, C. R. Acad. Sc. Paris, 294, , (1982) [with E. Ballico] (2) Sur les fibrés uniformes de rang n + 1 sur P n, Mémoire Soc. Math. France, nouv. série, 7, 1-60, (1982) (1) Des fibrés uniformes non homogènes et indécomposables de rang 2n + 1 sur P n, J. für die reine u. angew. Math. (Crelle s J.), 321, , (1981) 2. Other publications. (4) On smooth divisors of a projective hypersurface, arxiv:math.ag/ (unpublished, see (69)) (2004) [with D. Franco] (3) Java e matematica on-line: esercizi interattivi, ad uso multiplo, con verifica a posteriori, in Proceedings of the conference Didamatica 2001, Informatica per la didattica, lavori scientifici, pp Ed. Laterza (2001) (2) Appunti di Geometria I, I-VIII, 1-302, Pitagora Editrice, Bologna (1997) (1) Una breve introduzione allo studio dei fibrati vettoriali sugli spazi proiettivi, in Ein, L.-Ellia, Ph.-Zak, F.: Projective varieties, linear systems and vector bundles, Istituto Nazionale di Alta Matematica (Aracne Editrice), 55-89, (1994) Dipartimento di Matematica, 35 via Machiavelli, Ferrara address: phe@unife.it
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