메뉴 건너뛰기




Volumn 132, Issue 12, 2004, Pages 3509-3512

Lattice polygons and Green's theorem

Author keywords

Free resolution; Green's theorem; Syzygy; Toric variety

Indexed keywords


EID: 10044244581     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07523-9     Document Type: Conference Paper
Times cited : (17)

References (12)
  • 1
    • 51249164649 scopus 로고
    • Linear systems on projective spaces
    • MR 96h:14003
    • C. Birkenhake, Linear systems on projective spaces, Manuscripta Math. 88 (1995), 177-184. MR 96h:14003
    • (1995) Manuscripta Math. , vol.88 , pp. 177-184
    • Birkenhake, C.1
  • 2
    • 0031286223 scopus 로고    scopus 로고
    • Normal polytopes, triangulations, and Koszul algebras
    • MR 99c:52016
    • W. Bruns, J. Gubeladze, N. Trung, Normal polytopes, triangulations, and Koszul algebras, J. Reine Angew. Math. 485 (1997), 123-160. MR 99c:52016
    • (1997) J. Reine Angew. Math. , vol.485 , pp. 123-160
    • Bruns, W.1    Gubeladze, J.2    Trung, N.3
  • 3
    • 10044244099 scopus 로고
    • Representation of the Hirzebruch-Kleinschmidt varieties by quadrics
    • MR 95b:14036
    • G. Ewald, A. Schmeinck, Representation of the Hirzebruch-Kleinschmidt varieties by quadrics, Beiträge Algebra Geom. 34 (1993), 151-156. MR 95b:14036
    • (1993) Beiträge Algebra Geom. , vol.34 , pp. 151-156
    • Ewald, G.1    Schmeinck, A.2
  • 4
    • 84951607380 scopus 로고
    • On the ampleness of invertible sheaves in complete projective toric varieties
    • MR 92b:14028
    • G. Ewald, U. Wessels, On the ampleness of invertible sheaves in complete projective toric varieties, Results Math. 19 (1991), 275-278. MR 92b:14028
    • (1991) Results Math. , vol.19 , pp. 275-278
    • Ewald, G.1    Wessels, U.2
  • 5
    • 0003435678 scopus 로고
    • Princeton University Press, Princeton N.J., MR 94g:14028
    • W. Fulton, Introduction to Toric Varieties, Princeton University Press, Princeton N.J., 1993. MR 94g:14028
    • (1993) Introduction to Toric Varieties
    • Fulton, W.1
  • 6
    • 0035603114 scopus 로고    scopus 로고
    • Some results on rational surfaces and Fano varieties
    • MR 2002f:14024
    • F. Gallego, B. Purnaprajna, Some results on rational surfaces and Fano varieties, J. Reine Angew. Math. 538 (2001), 25-55. MR 2002f:14024
    • (2001) J. Reine Angew. Math. , vol.538 , pp. 25-55
    • Gallego, F.1    Purnaprajna, B.2
  • 7
    • 84972544398 scopus 로고
    • Koszul cohomology and the geometry of projective varieties
    • MR 85e:14022
    • M. Green, Koszul cohomology and the geometry of projective varieties, J. Differential Geometry 19 (1984), 125-171. MR 85e:14022
    • (1984) J. Differential Geometry , vol.19 , pp. 125-171
    • Green, M.1
  • 8
    • 0001662527 scopus 로고
    • Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes
    • MR 46:3511
    • M. Hochster, Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes, Ann. of Math. 96 (1972), 318-337. MR 46:3511
    • (1972) Ann. of Math. , vol.96 , pp. 318-337
    • Hochster, M.1
  • 9
    • 34249837409 scopus 로고
    • The Newton polytope, the Hilbert polynomial and sums of finite sets
    • MR 94e:14068
    • A. Khovanskii, The Newton polytope, the Hilbert polynomial and sums of finite sets, Funct. Anal. Appl. 26 (1992), 276-281. MR 94e:14068
    • (1992) Funct. Anal. Appl. , vol.26 , pp. 276-281
    • Khovanskii, A.1
  • 10
    • 0002432957 scopus 로고
    • A criterion for the ideal of a protectively embedded toric surface to be generated by quadrics
    • MR 94h:14051
    • R. Koelman, A criterion for the ideal of a protectively embedded toric surface to be generated by quadrics, Beiträge Algebra Geom. 34 (1993), 57-62. MR 94h:14051
    • (1993) Beiträge Algebra Geom. , vol.34 , pp. 57-62
    • Koelman, R.1
  • 11
    • 0002930124 scopus 로고    scopus 로고
    • Syzygies of Veronese embeddings
    • MR 2002g:13023
    • G. Ottaviani, R. Paoletti, Syzygies of Veronese embeddings, Compositio Math. 125 (2001), 31-37. MR 2002g:13023
    • (2001) Compositio Math. , vol.125 , pp. 31-37
    • Ottaviani, G.1    Paoletti, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.