Geometry of superficial elements

Romain Bondil

Annales de la Faculté des sciences de Toulouse : Mathématiques (2005)

  • Volume: 14, Issue: 2, page 185-200
  • ISSN: 0240-2963

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Bondil, Romain. "Geometry of superficial elements." Annales de la Faculté des sciences de Toulouse : Mathématiques 14.2 (2005): 185-200. <http://eudml.org/doc/73647>.

@article{Bondil2005,
author = {Bondil, Romain},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Hilbert polynomial; graded algebra; noetherian ring; projective scheme; blow-up},
language = {eng},
number = {2},
pages = {185-200},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Geometry of superficial elements},
url = {http://eudml.org/doc/73647},
volume = {14},
year = {2005},
}

TY - JOUR
AU - Bondil, Romain
TI - Geometry of superficial elements
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2005
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 14
IS - 2
SP - 185
EP - 200
LA - eng
KW - Hilbert polynomial; graded algebra; noetherian ring; projective scheme; blow-up
UR - http://eudml.org/doc/73647
ER -

References

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  1. [AC] Bourbaki ( N. ). — Algèbre commutative, Chap. 8 et 9, Masson, 1983. Zbl0579.13001MR722608
  2. [B-L] Bondil ( R.), Lê ( D.T.). - Caractérisations des éléments superficiels d'un idéal, C.R. Acad. Sci. Paris, t. 332, Sér. I, p. 717-722 (2001). Zbl1006.14013MR1843194
  3. [Bo] Bondil ( R. ). — Géométrie des problèmes de multiplicité et équisingularité dans un idéal, Thèse, Université de Provence, 2002. Avalaible at http://bibcmi.univ-mrs.fr/ . 
  4. [EGA] Grothendieck ( A.), Dieudonné ( J.). — Eléments de Géométrie algébrique II et IV, Publ. Math. IHES8, 24 (1960-1967). 
  5. [Ei] Eisenbud ( D. ). — Commutative algebra with a view toward algebraic geometry, Graduate Texts in Math. 150, Springer Verlag , 1995. Zbl0819.13001MR1322960
  6. [E-H] Eisenbud ( D. ) , Harris ( J.). — The geometry of schemes, Graduate Texts in Math. 197, Springer Verlag, 1999. Zbl0960.14002
  7. [ FLENNER ( H.), Vogel ( W.). — On multiplicities of local rings, Manuscripta Math.78, p. 85-97 (1993). Zbl0794.13016MR1201763
  8. [Hk] Hironaka ( H.). — Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. of Math.79, p. 109-326 (1964). Zbl0122.38603MR199184
  9. [Ii] Iitaka ( S. ). — Algebraic Geometry, Graduate Texts in Mathematics 76, Springer Verlag, 1982. Zbl0491.14006MR637060
  10. [Ki] Kirby ( D. ).— A note on superficial elements of an ideal in a local ring, Quart. J. Math. Oxford Ser. (2)14, p. 21-28 (1963). Zbl0115.03301MR143780
  11. [Sa] Samuel ( P. ). — La notion de multiplicité en algèbre et en géométrie algébrique, J. Math. Pures Appl.30, p. 159-275 (1951). Zbl0044.02701MR48103

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