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Research Articles

On completely decomposable defining equations of finite sets in Pn

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Pages 2527-2533 | Received 27 Jan 2023, Accepted 05 Dec 2023, Published online: 22 Jan 2024

References

  • Abo, H. (2014). Varieties of completely decomposable forms and their secants. J. Algebra 403:135–153. DOI: 10.1016/j.jalgebra.2013.12.027.
  • Arrondo, E., Bernardi, A. (2011). On the variety parameterizing completely decomposable polynomials. J. Pure Appl. Algebra 215:201–220. DOI: 10.1016/j.jpaa.2010.04.008.
  • Eisenbud, D. (1995). Commutative Algebra with a View Toward Algebraic Geometry. Graduate Texts in Math., No. 150. New York: Springer-Verlag.
  • Kwak, S. (2000). Generic projections, the equations defining projective varieties and Castelnuovo regularity. Math. Z. 234(3):413–434. DOI: 10.1007/PL00004809.
  • Lee, W., Park, E., Woo, Y. (2019). Regularity and multisecant lines of finite schemes. Int. Math. Res. Not. IMRN 6:1725–1743. DOI: 10.1093/imrn/rnx183.
  • Maroscia, P., Vogel, W. (1984). On the defining equations of points in general position in Pn. Math. Ann. 269: 183–189.
  • Nagel, U. (1995). On the defining equations and syzygies of arithmetically Cohen-Macaulay varieties in arbitrary characteristic. J. Algebra 175(1):359–372. DOI: 10.1006/jabr.1995.1191.
  • Nagel, U. (1999). Arithmetically Buchsbaum divisors on varieties of minimal degree. Trans. Amer. Math. Soc. 351:4381–4409. DOI: 10.1090/S0002-9947-99-02357-0.
  • Petri, K. (1923). U¨ ber die invariante Darstellung algebraischer Funktionen. Math. Ann. 88:243–289.
  • Saint-Donat, B. (1972). Sur les e` quations d e´ finisant une courbe algebrique. C.R. Acad. Sci. Paris, Ser. A 274:324–327.
  • Saint-Donat, B. (1972). Sur les e` quations d e´ finisant une courbe algebrique. C.R. Acad. Sci. Paris, Ser. A 274:487–489.
  • Treger, R. (1981). On equations defining arithmetically Cohen-Macaulay schemes, II. Duke Math. J. 48:35–47. DOI: 10.1215/S0012-7094-81-04803-1.
  • Trung, N. V., Valla, G. (1988). Degree bounds for the defining equations of arithmetically Cohen-Macaulay varieties. Math. Ann. 281:209–218. DOI: 10.1007/BF01458428.

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