@article{ASNSP_1985_4_12_1_43_0, author = {Conte, A. and Murre, J. P.}, title = {Algebraic varieties of dimension three whose hyperplane sections are {Enriques} surfaces}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {43--80}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 12}, number = {1}, year = {1985}, mrnumber = {818801}, zbl = {0612.14041}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1985_4_12_1_43_0/} }
TY - JOUR AU - Conte, A. AU - Murre, J. P. TI - Algebraic varieties of dimension three whose hyperplane sections are Enriques surfaces JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1985 SP - 43 EP - 80 VL - 12 IS - 1 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1985_4_12_1_43_0/ LA - en ID - ASNSP_1985_4_12_1_43_0 ER -
%0 Journal Article %A Conte, A. %A Murre, J. P. %T Algebraic varieties of dimension three whose hyperplane sections are Enriques surfaces %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1985 %P 43-80 %V 12 %N 1 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1985_4_12_1_43_0/ %G en %F ASNSP_1985_4_12_1_43_0
Conte, A.; Murre, J. P. Algebraic varieties of dimension three whose hyperplane sections are Enriques surfaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 12 (1985) no. 1, pp. 43-80. http://archive.numdam.org/item/ASNSP_1985_4_12_1_43_0/
[1] Som numerical criteria for contractability of curves on algebraic surfaces, Amer. J. Math., 84 (1962), pp. 485-496. | MR | Zbl
,[2] Surfaces algébriques complexes, Astérisque, 54, Paris, 1978. | Numdam | MR | Zbl
,[3] On the Chow group of certain types of Fano threefolds, Compositio Math., 39 (1979), pp. 47-105. | Numdam | MR | Zbl
- ,[4] Le superficie razionali, Zanichelli, Bologna, 1939. | JFM | Zbl
,[5] Three-dimensional algebraic varieties whose hyperplane sections are Enriques surfaces, Institut Mittag-Leffler, Report no. 10, 1981.
- ,[6] Varietà aventi come sezioni iperpiane superficie di Enriques, to appear.
- ,[7] Projective models of Enriques surfaces, Math. Ann., 265 (1983), pp. 283-334. | MR | Zbl
,[8] On rational surfaces whose prime sections are canonical curves, Proc. London Math. Soc., 35 (1933), pp. 1-13. | JFM | Zbl
,[9] Surfaces with canonical curves as hyperplane sections, Indagationes Math., 45 [1983), pp. 173-84. | MR | Zbl
,[10] Nuove ricerche sulle congruenze di rette del 30 ordine, Mem. Accad. Sci. Torino, 50 (1901), pp. 1-79. | JFM
,[11] Sulle varietà algebriche a tre dimensioni le cui sezioni iperpiane sono superficie di genere zero e bigenere uno, Memorie società dei XL, 24 (1938), pp. 41-66. | JFM | Zbl
,[12] Sur les variétés algébriques à trois dimensions dont les sections hyperplanes sont des surfaces de genre zéro et de bigenre un, Bull. Acad. Belgique, Cl. des Sci., 14 (1933), pp. 134-140. | JFM | Zbl
,[13] Algebraic Geometry, Springer-Verlag, New York, 1977. | MR | Zbl
,[14] Fano threefolds I and II, Izv. Akad. Nauk SSSR, 41 (1977), pp. 516-562, resp. 42 (1978), pp. 506-549 (and english translation). | MR | Zbl
,[15] Anticanonical models of three-dimensional algebraic varieties, in: Itogi Nauki i Tekniki, Sov. Pr. Mat., 12 (1979), pp. 59-157; engl. transl. in J. Soviet Math., 13 (1980), pp. 745-814. | MR | Zbl
,[16] Sistemi lineari completi su superficie di Enriques, Ann. di Mat., 126 (1980), pp. 267-283. | MR | Zbl
,[17] On the theorem of Castelnuovo-Enriques, Natur. Sc. Rep., Ochanomizo Univ., 4 (1953), pp. 164-171. | MR | Zbl
,[18] Topology of normal singularities and a criterion for simplicity, Publ. IHES, 9 (1961), pp. 229-246. | Numdam | Zbl
,[19] Pathologies III, Amer. J. Math., 89 (1967), pp. 94-104. | MR | Zbl
,[20] The nonrationality of the Enriques threefold, Compositio Math., 48 (1983), pp. 167-184. | Numdam | MR | Zbl
- ,[21] Hyperelliptic linear systems on a K3-surface, J. London Math. Soc., 13 (1976), pp. 427-437. | MR | Zbl
,[22] Projective models of K3-surfaces, Amer. J. Math., 96 (1972), pp. 602-639. | MR | Zbl
,[23] Étude des différentes surfaces du 4e ordre à conique double ou cuspidale (générale ou décomposée) considérées comme des projections de l'intersection de deux variétés quadratiques de l'espace à quatre dimensions, Math. Ann., 29 (1884), pp. 313-444. | JFM | MR
,[24] Five lectures on three-dimensional varieties, Russian Math. Surveys, 30 (1975), pp. 51-105. | Zbl
,[25] Foundations of Algebraic Geometry, Am. Math. Soc. Colloq. Publ., 29, revised and enlarged edition, Providence, 1962. | MR | Zbl
,[26] Sur les critères d'équivalence en géométrie algébrique, Math. Ann., 128 (1954), pp. 95-127. | MR | Zbl
,[27] Algebraic Surfaces, 2nd suppl. ed., Ergebnisse, 61, Springer-Verlag. Heidelberg, 1971. | MR | Zbl
,[28] An introduction to the theory of algebraic surfaces, Lecture Notes in Math., 83, Springer, Berlin, 1969. | MR | Zbl
,[29] Complete linear systems on normal varieties and a generalization of a lemma of Enriques-Severi, Ann. of Math., 55 (1962), pp. 552-592. | MR | Zbl
,