메뉴 건너뛰기




Volumn 358, Issue 12, 2006, Pages 5523-5538

Singularities of linear systems and the waring problem

Author keywords

Birational maps; Linear system; Singularities; Waring

Indexed keywords


EID: 33845756412     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-06-03893-1     Document Type: Article
Times cited : (56)

References (23)
  • 1
    • 34249835584 scopus 로고
    • The blown-up Horace method: Application to fourth-order interpolation
    • MR1150603 (93d:13017)
    • [AH1] J. Alexander, A. Hirschowitz, The blown-up Horace method: application to fourth-order interpolation Invent. Math. 107 (1992), no. 3, 585-602. MR1150603 (93d:13017)
    • (1992) Invent. Math. , vol.107 , Issue.3 , pp. 585-602
    • Alexander, J.1    Hirschowitz, A.2
  • 2
    • 0001189855 scopus 로고
    • Polynomial interpolation in several variables
    • MR1311347 (96f:14065)
    • [AH2] -, Polynomial interpolation in several variables J. Algebraic Geom. 4 (1995), no. 2, 201-222. MR1311347 (96f:14065)
    • (1995) J. Algebraic Geom. , vol.4 , Issue.2 , pp. 201-222
  • 3
    • 0000895694 scopus 로고
    • Footnotes to a paper of Beniamino Segre
    • MR0626954 (83d:14016)
    • [AC] E. Arbarello, M. Cornalba, Footnotes to a paper of Beniamino Segre Math. Ann. 256 (1981), no. 3, 341-362. MR0626954 (83d:14016)
    • (1981) Math. Ann. , vol.256 , Issue.3 , pp. 341-362
    • Arbarello, E.1    Cornalba, M.2
  • 4
    • 33845751654 scopus 로고    scopus 로고
    • On the weak non-defectivity of Veronese embeddings of protective spaces
    • MR2129920
    • [Ba] E. Ballico, On the weak non-defectivity of Veronese embeddings of protective spaces, Cent. Eur. J. Math. 3 (2005), no. 2, 183-187. MR2129920
    • (2005) Cent. Eur. J. Math. , vol.3 , Issue.2 , pp. 183-187
    • Ballico, E.1
  • 5
    • 23044526375 scopus 로고    scopus 로고
    • A brief proof of a maximal rank theorem for generic double points in projective space
    • MR1813598 (2002i:14046)
    • [Ch1] K. Chandler, A brief proof of a maximal rank theorem for generic double points in projective space Trans. Amer. Math. Soc. 353 (2001), no. 5, 1907-1920. MR1813598 (2002i:14046)
    • (2001) Trans. Amer. Math. Soc. , vol.353 , Issue.5 , pp. 1907-1920
    • Chandler, K.1
  • 6
    • 0036420870 scopus 로고    scopus 로고
    • Linear systems of cubics singular at general points of projective space
    • MR1943904 (2003i:13023)
    • [Ch2] -, Linear systems of cubics singular at general points of projective space Comp. Math. 134 (2002), no. 3, 269-282. MR1943904 (2003i:13023)
    • (2002) Comp. Math. , vol.134 , Issue.3 , pp. 269-282
  • 7
    • 0036010458 scopus 로고    scopus 로고
    • Weakly defective varieties
    • MR1859030 (2003b:14063)
    • L. Chiantini, C. Ciliberto Weakly defective varieties Trans. Amer. Math. Soc. 354 (2002), no. 1, 151-178. MR1859030 (2003b:14063)
    • (2002) Trans. Amer. Math. Soc. , vol.354 , Issue.1 , pp. 151-178
    • Chiantini, L.1    Ciliberto, C.2
  • 8
    • 3142705532 scopus 로고    scopus 로고
    • Geometric aspects of polynomial interpolation in more variables and of Waring's problem
    • (Barcelona), Progr. Math., 201, Birkhäuser, Basel. MR1905326 (2003i:14058)
    • C. Ciliberto, Geometric aspects of polynomial interpolation in more variables and of Waring's problem European Congress of Mathematics, Vol. I (Barcelona, 2000), 289-316, Progr. Math., 201, Birkhäuser, Basel, 2001. MR1905326 (2003i:14058)
    • (2000) European Congress of Mathematics , vol.1 , pp. 289-316
    • Ciliberto, C.1
  • 9
    • 2642576855 scopus 로고    scopus 로고
    • Varieties with one apparent double point
    • MR2047678 (2005b:14078)
    • [CMR] C. Ciliberto, M. Mella, F. Russo, Varieties with one apparent double point J. Algebraic Geom. 13 (2004), 475-512. MR2047678 (2005b:14078)
    • (2004) J. Algebraic Geom. , vol.13 , pp. 475-512
    • Ciliberto, C.1    Mella, M.2    Russo, F.3
  • 10
    • 33845788844 scopus 로고    scopus 로고
    • Varieties with minimal secant degree and linear systems of maximal dimension on surfaces
    • math.AG/0406494 to appear in
    • [CR] C. Ciliberto, F. Russo Varieties with minimal secant degree and linear systems of maximal dimension on surfaces math.AG/0406494 to appear in Adv. in Math.
    • Adv. in Math.
    • Ciliberto, C.1    Russo, F.2
  • 11
    • 0001315298 scopus 로고
    • Factoring birational maps of threefolds after Sarkisov
    • MR1311348 (96c:14013)
    • [Co] A. Corti, Factoring birational maps of threefolds after Sarkisov J. Algebraic Geom. 4 (1995), no. 2, 223-254. MR1311348 (96c:14013)
    • (1995) J. Algebraic Geom. , vol.4 , Issue.2 , pp. 223-254
    • Corti, A.1
  • 13
    • 0038874083 scopus 로고    scopus 로고
    • Letter adressée à M. Hermite
    • [Hi] D. Hilbert, Letter adressée à M. Hermite, Gesam. Abh. vol. II 148-153.
    • Gesam. Abh. , vol.2 , pp. 148-153
    • Hilbert, D.1
  • 14
    • 0001419778 scopus 로고
    • Inverse system of a symbolic power. II. The Waring problem for forms
    • MR1337187 (96i:13018)
    • [Ia] A. Iarrobino, Inverse system of a symbolic power. II. The Waring problem for forms J. Algebra 174 (1995), no. 3, 1091-1110. MR1337187 (96i:13018)
    • (1995) J. Algebra , vol.174 , Issue.3 , pp. 1091-1110
    • Iarrobino, A.1
  • 15
    • 0003199354 scopus 로고    scopus 로고
    • Power sums, Gorenstein algebras, and determinantal loci Appendix C by Iarrobino and Steven L. Kleiman
    • Springer-Verlag, Berlin. xxxii+345 pp. MR1735271 (2001d:14056)
    • [IK] A. Iarrobino, V. Kanev, Power sums, Gorenstein algebras, and determinantal loci Appendix C by Iarrobino and Steven L. Kleiman. Lecture Notes in Mathematics, 1721, Springer-Verlag, Berlin, 1999. xxxii+345 pp. MR1735271 (2001d:14056)
    • (1999) Lecture Notes in Mathematics , vol.1721
    • Iarrobino, A.1    Kanev, V.2
  • 16
    • 23044525263 scopus 로고    scopus 로고
    • K3 surfaces of genus 8 and varieties of sums of powers of cubic fourfolds
    • MR1806733 (2002c:14082)
    • [IR1] A. Iliev, K. Ranestad, K3 surfaces of genus 8 and varieties of sums of powers of cubic fourfolds Trans. Amer. Math. Soc. 353 (2001), no. 4, 1455-1468. MR1806733 (2002c:14082)
    • (2001) Trans. Amer. Math. Soc. , vol.353 , Issue.4 , pp. 1455-1468
    • Iliev, A.1    Ranestad, K.2
  • 17
    • 0035672635 scopus 로고    scopus 로고
    • Canonical curves and varieties of sums of powers of cubic polynomials
    • MR1872627 (2003c:14032)
    • [IR2] -, Canonical curves and varieties of sums of powers of cubic polynomials J. Algebra 246 (2001), no. 1, 385-393. MR1872627 (2003c:14032)
    • (2001) J. Algebra , vol.246 , Issue.1 , pp. 385-393
  • 18
    • 0011626631 scopus 로고
    • Fano 3-folds Complex projective geometry (Trieste, 1989/Bergen, 1989)
    • Cambridge Univ. Press, Cambridge. MR1201387 (94a:14042)
    • [Mu] S. Mukai, Fano 3-folds Complex projective geometry (Trieste, 1989/Bergen, 1989), 255-263, London Math. Soc. Lecture Note Ser., 179, Cambridge Univ. Press, Cambridge, 1992. MR1201387 (94a:14042)
    • (1992) London Math. Soc. Lecture Note Ser. , vol.179 , pp. 255-263
    • Mukai, S.1
  • 19
    • 0040058660 scopus 로고
    • Sulla rappresentazione delle, forme ternarie mediante la somma di potenze di forme lineari
    • [Pa] F. Palatini, Sulla rappresentazione delle, forme ternarie mediante la somma di potenze di forme lineari Rom. Acc. L. Rend. 12 (1903) 378-384.
    • (1903) Rom. Acc. L. Rend. , vol.12 , pp. 378-384
    • Palatini, F.1
  • 21
    • 0034411117 scopus 로고    scopus 로고
    • Varieties of sums of powers
    • MR1780430 (2001m:14009)
    • [RS] K. Ranestad, F. Schreyer, Varieties of sums of powers J. Reine Angew. Math. 525 (2000), 147-181. MR1780430 (2001m:14009)
    • (2000) J. Reine Angew. Math. , vol.525 , pp. 147-181
    • Ranestad, K.1    Schreyer, F.2
  • 23
    • 0000228248 scopus 로고
    • h (h + 1)-seganti ha dimensione minore dell'ordinario
    • h (h + 1)-seganti ha dimensione minore dell'ordinario, Rend. Circ. Mat. Palermo 31 (1911), 392-396.
    • (1911) Rend. Circ. Mat. Palermo , vol.31 , pp. 392-396
    • Terracini, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.