메뉴 건너뛰기




Volumn 117, Issue 3, 2003, Pages 389-401

On the irreducibility of secant cones, and an application to linear normality

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037872642     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-03-11731-7     Document Type: Article
Times cited : (6)

References (23)
  • 2
    • 0003243860 scopus 로고
    • Commutative algebra: With a view toward algebraic geometry
    • [E] Springer, New York, MR 97a:13001
    • [E] D. EISENBUD, Commutative Algebra: With a View Toward Algebraic Geometry, Grad. Texts in Math. 150, Springer, New York, 1995. MR 97a:13001
    • (1995) Grad. Texts in Math. , vol.150
    • Eisenbud, D.1
  • 6
    • 0038403554 scopus 로고
    • Sulla varietà doppia della proiezione generica di una varietà algebrica non singolare
    • [Fr3]
    • [Fr3] _, Sulla varietà doppia della proiezione generica di una varietà algebrica non singolare, Atti Accad. Sci. Lett. Arti Palermo (4) 14, Parte I (1953/54), 1-12.
    • (1953) Atti Accad. Sci. Lett. Arti Palermo (4) , vol.14 , Issue.PARTE I , pp. 1-12
  • 7
    • 0001194411 scopus 로고
    • Varieties with small secant varieties: The extremal case
    • [FR] MR 82k:14042
    • [FR] T. FUJITA and J. ROBERTS, Varieties with small secant varieties: The extremal case, Amer. J. Math. 103 (1981), 953-976. MR 82k:14042
    • (1981) Amer. J. Math. , vol.103 , pp. 953-976
    • Fujita, T.1    Roberts, J.2
  • 8
    • 0003138011 scopus 로고
    • On the topology of algebraic varieties
    • [F] in Algebraic Geometry (Brunswick, Maine, 1985), I, Amer. Math. Soc., Providence, MR 89c:14027
    • [F] W. FULTON, "On the topology of algebraic varieties" in Algebraic Geometry (Brunswick, Maine, 1985), I, Proc. Sympos. Pure Math. 46, part 1, Amer. Math. Soc., Providence, 1987, 15-46. MR 89c:14027
    • (1987) Proc. Sympos. Pure Math. , vol.46 , Issue.PART 1 , pp. 15-46
    • Fulton, W.1
  • 9
    • 0002185271 scopus 로고
    • Connectivity and its applications in algebraic geometry
    • [FL] in Algebraic Geometry (Chicago, 1980), ed. A. Libgober, Springer, Berlin, MR 83i:14002
    • [FL] W. FULTON and R. LAZARSFELD, "Connectivity and its applications in algebraic geometry" in Algebraic Geometry (Chicago, 1980), Lecture Notes in Math. 862, ed. A. Libgober, Springer, Berlin, 1981, 26-92. MR 83i:14002
    • (1981) Lecture Notes in Math. , vol.862 , pp. 26-92
    • Fulton, W.1    Lazarsfeld, R.2
  • 10
    • 0003311477 scopus 로고
    • Principles of algebraic geometry
    • [GH] Wiley-Interscience, New York, MR 80b:14001
    • [GH] P. GRIFFITHS and J. HARRIS, Principles of Algebraic Geometry, Pure Appl. Math., Wiley-Interscience, New York, 1978. MR 80b:14001
    • (1978) Pure Appl. Math.
    • Griffiths, P.1    Harris, J.2
  • 11
    • 0003109402 scopus 로고
    • Éléments de géométrie algébrique, IV: Étude locale des schémas et des morphismes de schémas, IV
    • [G] MR 39:220
    • [G] A. GROTHENDIECK, Éléments de géométrie algébrique, IV: Étude locale des schémas et des morphismes de schémas, IV, Inst. Hautes Études Sci. Publ. Math. 32 (1967). MR 39:220
    • (1967) Inst. Hautes Études Sci. Publ. Math. , vol.32
    • Grothendieck, A.1
  • 12
    • 0038065265 scopus 로고
    • Space curves: Complete series and speciality
    • [GP] in Space Curves (Rocca di Papa, Italy, 1985), Springer, Berlin, MR 89c:14045
    • [GP] L. GRUSON and C. PESKINE, "Space curves: Complete series and speciality" in Space Curves (Rocca di Papa, Italy, 1985), Lecture Notes in Math. 1266, Springer, Berlin, 1987, 108-123. MR 89c:14045
    • (1987) Lecture Notes in Math. , vol.1266 , pp. 108-123
    • Gruson, L.1    Peskine, C.2
  • 13
    • 84972550368 scopus 로고
    • A sharp Castelnuovo bound for smooth surfaces
    • [L] MR 89d:14007
    • [L] R. LAZARSFELD, A sharp Castelnuovo bound for smooth surfaces, Duke Math. J. 55 (1987), 423-429. MR 89d:14007
    • (1987) Duke Math. J. , vol.55 , pp. 423-429
    • Lazarsfeld, R.1
  • 14
    • 0003272142 scopus 로고
    • Topics in the geometry of projective space: Recent work of F. L. Zak
    • [LvV] addendum by F. L. Zak, Birkhäuser, Basel, MR 87e:14045
    • [LvV] R. LAZARSFELD and A. VAN DE VEN, Topics in the Geometry of Projective Space: Recent Work of F. L. Zak, addendum by F. L. Zak, DMV Seminar 4, Birkhäuser, Basel, 1984. MR 87e:14045
    • (1984) DMV Seminar , vol.4
    • Lazarsfeld, R.1    Van De Ven, A.2
  • 15
    • 0038403552 scopus 로고    scopus 로고
    • A tour through some classical theorems on algebraic surfaces
    • [MP] MR 98m: 14036
    • [MP] E. MEZZETTI and D. PORTELLI, A tour through some classical theorems on algebraic surfaces, An. Ştiinţ. Univ. Ovidius Constanţa Ser. Mat. 5 (1997), 51-78. MR 98m: 14036
    • (1997) An. Ştiinţ. Univ. Ovidius Constanţa Ser. Mat. , vol.5 , pp. 51-78
    • Mezzetti, E.1    Portelli, D.2
  • 16
    • 0003204864 scopus 로고
    • Complex surfaces and connected sums of complex projective planes
    • [Mo] appendix by R. Livné, Springer, Berlin, MR 58:10931
    • [Mo] B. G. MOISHEZON, Complex Surfaces and Connected Sums of Complex Projective Planes, appendix by R. Livné, Lecture Notes Math. 603, Springer, Berlin, 1977. MR 58:10931
    • (1977) Lecture Notes Math. , vol.603
    • Moishezon, B.G.1
  • 17
    • 0000953735 scopus 로고
    • A Castelnuovo bound for smooth surfaces
    • [Pi] MR 87c:14044
    • [Pi] H. C. PINKHAM, A Castelnuovo bound for smooth surfaces, Invent. Math. 83 (1986), 321-332. MR 87c:14044
    • (1986) Invent. Math. , vol.83 , pp. 321-332
    • Pinkham, H.C.1
  • 18
    • 0012057738 scopus 로고
    • The structure of Gauss-like mappings
    • [R1] MR 85j:32014
    • [R1] Z. RAN, The structure of Gauss-like mappings, Compositio Math. 52 (1984), 171-177. MR 85j:32014
    • (1984) Compositio Math. , vol.52 , pp. 171-177
    • Ran, Z.1
  • 19
    • 0037727571 scopus 로고
    • Systèmes linéaires complets de sections hypersurfaces sur les variétés projectives de codimension 2
    • [R2] MR 85d: 14068
    • [R2] _, Systèmes linéaires complets de sections hypersurfaces sur les variétés projectives de codimension 2, C. R. Acad. Sci. Paris Sér. I Math. 298 (1984), 111-112. MR 85d: 14068
    • (1984) C. R. Acad. Sci. Paris Sér. I Math. , vol.298 , pp. 111-112
  • 21
    • 0003221655 scopus 로고
    • Vanishing theorems on complex manifolds
    • [SS] Birkhäuser, Boston, MR 86h:32048
    • [SS] B. SHIFFMAN and A. J. SOMMESE, Vanishing Theorems on Complex Manifolds, Progr. Math. 56, Birkhäuser, Boston, 1985. MR 86h:32048
    • (1985) Progr. Math. , vol.56
    • Shiffman, B.1    Sommese, A.J.2
  • 22
    • 0000423816 scopus 로고
    • Projections of algebraic varieties
    • [Z1] MR 84i:14012
    • [Z1] F. L. ZAK, Projections of algebraic varieties, Math. USSR-Sb. 44 (1981), 535-544. MR 84i:14012
    • (1981) Math. USSR-Sb. , vol.44 , pp. 535-544
    • Zak, F.L.1
  • 23
    • 0003197116 scopus 로고
    • Tangents and secants of algebraic varieties
    • [Z2] Amer. Math. Soc., Providence, MR 94i:14053
    • [Z2] _, Tangents and Secants of Algebraic Varieties, Transl. Math. Monogr. 127, Amer. Math. Soc., Providence, 1993. MR 94i:14053
    • (1993) Transl. Math. Monogr. , vol.127


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.