The last coefficient of the Samuel polynomial

J. Ma Muñoz Porras; J. B. Sancho de Salas

Compositio Mathematica (1987)

  • Volume: 61, Issue: 2, page 171-179
  • ISSN: 0010-437X

How to cite


Muñoz Porras, J. Ma, and Sancho de Salas, J. B.. "The last coefficient of the Samuel polynomial." Compositio Mathematica 61.2 (1987): 171-179. <>.

author = {Muñoz Porras, J. Ma, Sancho de Salas, J. B.},
journal = {Compositio Mathematica},
keywords = {Samuel polynomial; Hilbert polynomial; blowing up},
language = {eng},
number = {2},
pages = {171-179},
publisher = {Martinus Nijhoff Publishers},
title = {The last coefficient of the Samuel polynomial},
url = {},
volume = {61},
year = {1987},

AU - Muñoz Porras, J. Ma
AU - Sancho de Salas, J. B.
TI - The last coefficient of the Samuel polynomial
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 61
IS - 2
SP - 171
EP - 179
LA - eng
KW - Samuel polynomial; Hilbert polynomial; blowing up
UR -
ER -


  1. Berthelot, P., Grothendieck, A. and Illusie, L.: Séminaire de Géométrie Algébrique du Bois Maire 1966/67. S.G.A. 6. Lecture Notes in Math. 225. Springer (1971). Zbl0218.14001MR354655
  2. Grothendieck, A. and Dieudonné, J.: Eléments de Géometrie Algébrique III. Inst. Hautes Etudes Sci. Publ. Math. nº 11. Paris (1961). Zbl0203.23301
  3. Hartshorne, R.: Algebraic Geometry. Graduate Texts in Math. 52. Springer (1977). Zbl0367.14001MR463157
  4. Kleiman, S.: Toward a numerical theory of ampleness. Annals of Math.84 (1966) 293-344. Zbl0146.17001MR206009
  5. Nagata, M.: Imbedding of an abstract variety in a complete variety. J. Math. Kyoto Univ.2 (1962) 1-10. Zbl0109.39503MR142549
  6. Ramanujam, C.P.: On a geometric interpretation of multiplicity. Inv. Math.22 (1973) 63-67. Zbl0265.14004MR354663
  7. Severi, F.: Il teorema di Riemann-Roch per curve, superficie e varieta; questioni collegate. Erg. der Math. und. ihr. Grenz.Springer, Berlin-Göttingen- Heidelberg (1958). Zbl0111.17801MR94357

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.