A result on resolutions of Veronese embeddings

Annali dell'Universita di Ferrara

Volumn 50, Issue 1, 2004, Pages 151-165

  Rubei, Elena ^a  

^a Dipartimento di Matematica U Dini   (Italy)

Author keywords

Syzyzgies; Veronese embedding

Indexed keywords

EID: 33750432324     PISSN: 04303202     EISSN: 18271510     Source Type: Journal    
DOI: 10.1007/BF02825348     Document Type: Article

References (19)

1. S. Barcanescu-N. Manolache, Betti numbers of Segre-Veronese singularities, Rev. Roumaine Math. Pures Appl., 26, no. 4 (1981), pp. 549-565.
2. Ch. Birkenhake, Linear systems on projective spaces, Manuscripta Math., 88 (1995), pp. 177-184.
3. A. Campillo-C. Marijuan, Higher relations for a numerical semigroup, Sem. Theorie Nombres Bordeaux, 3 (1991), pp. 249-260.
4. A. Campillo-P. Pison, L'ideal d'un semigroup de type fini, C. R. Acad. Sci. Paris Ser. I, 316 (1993), pp. 1303-1306.
5. L. Ein-R. Lazarsfeld, Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension, Invent. Math., 111, no. 1 (1993), pp. 51-67.
6. W. Fulton-J. Harris, Representation Theory, Springer Verlag.
7. M. Green, Koszul cohomology and the geometry of projective varieties I, II, J. Differ. Geom., 20 (1984), pp. 125-171, 279-289.
8. M. Green, Koszul cohomology and geometry, in: M. Cornalba et al. (eds), Lectures on Riemann Surfaces, World Scientific Press (1989).
9. M. Green-R. Lazarsfeld, On the projective normality of complete linear series on an algebraic curve, Invent. Math., 83 (1986), pp. 73-90.
10. T. Josefiak-P. Pragacz-J. Weyman, Resolutions of determinantal varieties and tensor complexes associated with symmetric and antiymmetric matrices, Asterisque, 87-88 (1981), pp. 109-189.
11. A. Lascoux, Syzygies des variétés determinantales, Adv. in Math., 30 (1978), pp. 202-237.
12. G. Ottaviani-R. Paoletti, Syzygies of Veronese embeddings, Compositio Math., 125 (2001), pp. 31-37.
13. P. Pragacz-J. Weyman, Complexes associated with trace and evaluation. Another approach to Lascoux's resolution, Adv. Math., 57 (1985), pp. 163-207.
14. p, Manuscripta Math., 101 (2000), pp. 449-455.
15. p, Manuscripta Math., 108 (2002), pp. 135-137.
16. E. Rubei, On syzygies of Segre embeddings, Proc. A. M. S., 130, 12 (2002), pp. 3483-3493.
17. E. Rubei, A result on resolutions of Veronese embeddings, preprint Dip. Matematica «U. Dini» Firenze, n. 17, October 2002.
18. E. Spanier, Algebraic Topology, Springer Verlag.
19. B. Sturmfels, Gröbner bases and convex polytopes, University Lecture Series A. M. S., 8 (1996).