Families of Measurable Conic Sections in the Projective Space PR

Gioia Failla; Giovanni Molica Bisci

Bollettino dell'Unione Matematica Italiana (2007)

  • Volume: 10-B, Issue: 2, page 389-404
  • ISSN: 0392-4041

Abstract

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In this note we prove the measurability of the family of non-degenerate conic sections in the projective space P 4 , obtained by cutting a non-degenerate quadratic cone by a linear variety of dimension two not containing the cone vertex.

How to cite

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Failla, Gioia, and Molica Bisci, Giovanni. "Families of Measurable Conic Sections in the Projective Space PR." Bollettino dell'Unione Matematica Italiana 10-B.2 (2007): 389-404. <http://eudml.org/doc/290443>.

@article{Failla2007,
abstract = {In this note we prove the measurability of the family of non-degenerate conic sections in the projective space $P^4$, obtained by cutting a non-degenerate quadratic cone by a linear variety of dimension two not containing the cone vertex.},
author = {Failla, Gioia, Molica Bisci, Giovanni},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {389-404},
publisher = {Unione Matematica Italiana},
title = {Families of Measurable Conic Sections in the Projective Space PR},
url = {http://eudml.org/doc/290443},
volume = {10-B},
year = {2007},
}

TY - JOUR
AU - Failla, Gioia
AU - Molica Bisci, Giovanni
TI - Families of Measurable Conic Sections in the Projective Space PR
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/6//
PB - Unione Matematica Italiana
VL - 10-B
IS - 2
SP - 389
EP - 404
AB - In this note we prove the measurability of the family of non-degenerate conic sections in the projective space $P^4$, obtained by cutting a non-degenerate quadratic cone by a linear variety of dimension two not containing the cone vertex.
LA - eng
UR - http://eudml.org/doc/290443
ER -

References

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  1. DUMA, A. - STOKA, M., On the measurability of the conic sections' family in the projective space P 3 , Rend. Circ. Mat. Palermo, Serie II, Tomo LI (2002), 537-548. Zbl1097.53051MR1947473DOI10.1007/BF02871860
  2. STOKA, M., Masura unei multimi dintr-un spatiu R n , Bull. St. Acad. R.P.R., 7 (1955), 903-937. 
  3. STOKA, M., Masura familiior de varietati din spatiul E 3 , St. Cerc. Mat., IX (1958), 547-558. 
  4. STOKA, M., Géométrie Intégrale, Mém. Sci. Math., fasc., 165, Gauthier-Villars, Paris, 1968. MR231336
  5. STOKA, M., On the measurability of the conic sections' family in the projective space P n , Boll. U.M.I. (8) 7-B (2004), 357-367. Zbl1177.53068MR2072941

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