Separators of fat points in   Pn X Pm

Elena Guardo; Adam van Tuyl

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Separators of fat points in Pn X Pm

Autores: Elena Guardo, Adam van Tuyl
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 215, Nº 8, 2011, págs. 1990-1998
Idioma: inglés
DOI: 10.1016/j.jpaa.2010.11.009
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Resumen
- We introduce definitions for the separator of a fat point and the degree of a fat point for a fat point scheme Z subset of P-n x P-m, and we study some of their properties.
Referencias bibliográficas
- S. Abrescia, L. Bazzotti, L. Marino, Conductor degree and socle degree, Matematiche (Catania) 56 (1) (2001) 129–148. 2003.
- L. Bazzotti, Sets of points and their conductor, J. Algebra 283 (2) (2005) 799–820.
- L. Bazzotti, M. Casanellas, Separators of points on algebraic surfaces, J. Pure Appl. Algebra 207 (2) (2006) 319–326.
- CoCoATeam, CoCoA: a system for doing Computations in Commutative Algebra. Available at: http://cocoa.dima.unige.it.
- A.V. Geramita, M. Kreuzer, L. Robbiano, Cayley–Bacharach schemes and their canonical modules, Trans. Amer. Math. Soc. 339 (1) (1993) 163–189.
- S. Giuffrida, R. Maggioni, A. Ragusa, On the postulation of 0-dimensional subschemes on a smooth quadric, Pacific J. Math. 155 (2) (1992)...
- S. Giuffrida, R. Maggioni, A. Ragusa, Resolutions of generic points lying on a smooth quadric, Manuscripta Math. 91 (4) (1996) 421–444.
- E. Guardo, Fat points schemes on a smooth quadric, J. Pure Appl. Algebra 162 (2–3) (2001) 183–208.
- E. Guardo, L. Marino, A. Van Tuyl, Separators of fat points in Pn, Journal of Algebra 324 (7) (2010) 1492–1512.
- E. Guardo, A. Van Tuyl, Fat Points in P1 × P1 and their Hilbert functions, Canad. J. Math. 56 (4) (2004) 716–741.
- E. Guardo, A. Van Tuyl, ACM sets of points in multiprojective spaces, Collect. Math. 59 (2) (2008) 191–213.
- E. Guardo, A. Van Tuyl, Separators of points in a multiprojective space, Manuscripta Math. 126 (1) (2008) 99–113.
- E. Guardo, A. Van Tuyl, Separators of ACM fat points in P1 × P1, 2010, Preprint. arXiv:1005.5280.
- M. Kreuzer, On the canonical module of a 0-dimensional scheme, Canad. J. Math. 46 (2) (1994) 357–379.
- L. Marino, Conductor and separating degrees for sets of points in Pr and in P1×P1, Boll. Unione Mat. Ital. Sez. BArtic. Ric. Mat. (8)9(2)(2006)397–421.
- F. Orecchia, Points in generic position and conductors of curves with ordinary singularities, J. Lond. Math. Soc. (2) 24 (1) (1981) 85–96.
- J. Sidman, A. Van Tuyl, Multigraded regularity: syzygies and fat points, Beiträge Algebra Geom. 47 (1) (2006) 67–87.
- A. Sodhi, The conductor of points having the Hilbert function of a complete intersection in P2, Canad. J. Math. 44 (1) (1992) 167–179.
- A. Van Tuyl, The Hilbert functions of ACM sets of points in Pn1 × ··· × Pnk, J. Algebra 264 (2) (2003) 420–441.
- A. Van Tuyl, The border of the Hilbert function of a set of points in Pn1 × ··· × Pnk, J. Pure Appl. Algebra 176 (2–3) (2002) 223–247.
- C.A. Weibel, An Introduction to Homological Algebra, in: Cambridge Studies in Advanced Mathematics, vol.38, Cambridge University Press, Cambridge,...