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Volumn 351, Issue 4, 2011, Pages 761-779

Koszul homology and syzygies of Veronese subalgebras

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EID: 81255203415     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-010-0616-1     Document Type: Article
Times cited : (41)

References (28)
  • 3
    • 0001211985 scopus 로고    scopus 로고
    • Infinite free resolutions
    • In: Elias, J.(eds.)Birkhäuser
    • Avramov, L. L.: Infinite free resolutions. In: Elias, J., et al. (eds.) Six Lectures on Commutative Algebra. Prog. Math., vol. 166, pp. 1-118. Birkhäuser (1998).
    • (1998) Six Lectures on Commutative Algebra. Prog. Math , vol.166 , pp. 1-118
    • Avramov, L.L.1
  • 4
    • 77952055153 scopus 로고    scopus 로고
    • Resolutions of Koszul algebra quotients of polynomial rings
    • Avramov L. L., Conca A., Iyengar S.: Resolutions of Koszul algebra quotients of polynomial rings. Math. Res. Lett. 17(2), 197-210 (2010).
    • (2010) Math. Res. Lett , vol.17 , Issue.2 , pp. 197-210
    • Avramov, L.L.1    Conca, A.2    Iyengar, S.3
  • 5
    • 38249010103 scopus 로고
    • Regularity of modules over a Koszul algebra
    • Avramov L. L., Eisenbud D.: Regularity of modules over a Koszul algebra. J. Algebra 153, 85-90 (1992).
    • (1992) J. Algebra , vol.153 , pp. 85-90
    • Avramov, L.L.1    Eisenbud, D.2
  • 7
    • 0031286223 scopus 로고    scopus 로고
    • Normal polytopes, triangulations, and Koszul algebras
    • Bruns W., Gubeladze J., Trung N. V.: Normal polytopes, triangulations, and Koszul algebras. J. Reine Angew. Math. 485, 123-160 (1997).
    • (1997) J. Reine Angew. Math , vol.485 , pp. 123-160
    • Bruns, W.1    Gubeladze, J.2    Trung, N.V.3
  • 9
    • 84869188002 scopus 로고    scopus 로고
    • Combinatorial aspects of commutative algebra and algebraic geometry
    • In: Fløystad, G., Johnsen, T., Knutsen, A. L. (eds.) Springer (to appear)
    • Bruns, W., Conca, A., Römer, T.: Combinatorial aspects of commutative algebra and algebraic geometry. In: Fløystad, G., Johnsen, T., Knutsen, A. L. (eds.) Proceedings Abel Symposium 2009. Springer (to appear).
    • (2009) Proceedings Abel Symposium
    • Bruns, W.1    Conca, A.2    Romer, T.3
  • 11
    • 0001520688 scopus 로고    scopus 로고
    • Diagonal subalgebras of bigraded algebras and embeddings of blow-ups of projective spaces
    • Conca A., Herzog J., Trung N. V., Valla G.: Diagonal subalgebras of bigraded algebras and embeddings of blow-ups of projective spaces. Am. J. Math. 119, 859-901 (1997).
    • (1997) Am. J. Math , vol.119 , pp. 859-901
    • Conca, A.1    Herzog, J.2    Trung, N.V.3    Valla, G.4
  • 12
    • 0000433182 scopus 로고
    • Initial ideals, Veronese subrings, and rates of algebras
    • Eisenbud D., Reeves A., Totaro B.: Initial ideals, Veronese subrings, and rates of algebras. Adv. Math. 109, 168-187 (1994).
    • (1994) Adv. Math , vol.109 , pp. 168-187
    • Eisenbud, D.1    Reeves, A.2    Totaro, B.3
  • 13
    • 33745664089 scopus 로고    scopus 로고
    • Restricting linear syzygies: algebra and geometry
    • Eisenbud D., Green M., Hulek K., Popescu S.: Restricting linear syzygies: algebra and geometry. Compos. Math. 141, 1460-1478 (2005).
    • (2005) Compos. Math , vol.141 , pp. 1460-1478
    • Eisenbud, D.1    Green, M.2    Hulek, K.3    Popescu, S.4
  • 14
    • 33749244226 scopus 로고    scopus 로고
    • The geometry of syzygies, a second course in commutative algebra and algebraic geometry
    • Springer, New York
    • Eisenbud, D.: The geometry of syzygies, a second course in commutative algebra and algebraic geometry. In: Graduate Texts in Mathematics, vol. 229. Springer, New York (2005).
    • (2005) Graduate Texts in Mathematics , vol.229
    • Eisenbud, D.1
  • 15
    • 0033477711 scopus 로고    scopus 로고
    • Projective normality and syzygies of algebraic surfaces
    • Erratum 523, 233-234 (2000)
    • Gallego, F. J., Purnaprajna, B. P.: Projective normality and syzygies of algebraic surfaces. J. Reine Angew. Math. 506, 145-180 (1999); erratum 523, 233-234 (2000).
    • (1999) J. Reine Angew. Math , vol.506 , pp. 145-180
    • Gallego, F.J.1    Purnaprajna, B.P.2
  • 17
    • 84972513641 scopus 로고
    • Koszul cohomology and the geometry of projective varieties
    • Green M. L.: Koszul cohomology and the geometry of projective varieties. II. J. Differ. Geom. 20, 279-289 (1984).
    • (1984) J. Differ. Geom , vol.20 , pp. 279-289
    • Green, M.L.1
  • 18
    • 0001776101 scopus 로고
    • On the projective normality of complete linear series on an algebraic curve
    • Green M. L., Lazarsfeld R.: On the projective normality of complete linear series on an algebraic curve. Invent. Math. 83, 73-90 (1986).
    • (1986) Invent. Math , vol.83 , pp. 73-90
    • Green, M.L.1    Lazarsfeld, R.2
  • 19
    • 0000505311 scopus 로고
    • Some results on the syzygies of finite sets and algebraic curves
    • Green M. L., Lazarsfeld R.: Some results on the syzygies of finite sets and algebraic curves. Compos. Math. 67, 301-314 (1988).
    • (1988) Compos. Math , vol.67 , pp. 301-314
    • Green, M.L.1    Lazarsfeld, R.2
  • 20
    • 33846044616 scopus 로고    scopus 로고
    • Singular 3.0 a computer algebra system for polynomial computations
    • University of Kaiserslautern
    • Greuel, G. M., Pfister, G., Schönemann, H.: Singular 3. 0 a computer algebra system for polynomial computations. Centre for Computer Algebra, University of Kaiserslautern (2001). http://www. singular. uni-kl. de.
    • (2001) Centre for Computer Algebra
    • Greuel, G.M.1    Pfister, G.2    Schönemann, H.3
  • 21
    • 34248680491 scopus 로고    scopus 로고
    • Syzygies, multigraded regularity and toric varieties
    • Hering M., Schenck H., Smith G. G.: Syzygies, multigraded regularity and toric varieties. Compos. Math. 142, 1499-1506 (2006).
    • (2006) Compos. Math , vol.142 , pp. 1499-1506
    • Hering, M.1    Schenck, H.2    Smith, G.G.3
  • 22
    • 0000005020 scopus 로고
    • Resolutions of determinantal varieties and tensor complexes associated with symmetric and antisymmetric matrices
    • Jozefiak T., Pragacz P., Weyman J.: Resolutions of determinantal varieties and tensor complexes associated with symmetric and antisymmetric matrices. Astérisque 87-88, 109-189 (1981).
    • (1981) Astérisque , vol.87-88 , pp. 109-189
    • Jozefiak, T.1    Pragacz, P.2    Weyman, J.3
  • 23
    • 0002930124 scopus 로고    scopus 로고
    • Syzygies of Veronese embeddings
    • Ottaviani G., Paoletti R.: Syzygies of Veronese embeddings. Compos. Math. 125, 31-37 (2001).
    • (2001) Compos. Math , vol.125 , pp. 31-37
    • Ottaviani, G.1    Paoletti, R.2
  • 24
    • 67349271259 scopus 로고    scopus 로고
    • On syzygies of Veronese embedding of arbitrary projective varieties
    • Park E.: On syzygies of Veronese embedding of arbitrary projective varieties. J. Algebra 322, 108-121 (2009).
    • (2009) J. Algebra , vol.322 , pp. 108-121
    • Park, E.1
  • 25
    • 0036501699 scopus 로고    scopus 로고
    • Bounds for Betti numbers
    • Römer T.: Bounds for Betti numbers. J. Algebra 249, 20-37 (2002).
    • (2002) J. Algebra , vol.249 , pp. 20-37
    • Römer, T.1
  • 27
    • 33750432324 scopus 로고    scopus 로고
    • A result on resolutions of Veronese embeddings
    • Rubei E.: A result on resolutions of Veronese embeddings. Ann. Univ. Ferrara, Nuova Ser. Sez. VII 50, 151-165 (2004).
    • (2004) Ann. Univ. Ferrara, Nuova Ser. Sez. VII , vol.50 , pp. 151-165
    • Rubei, E.1


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