Quartic threefolds containing two skew double lines

A. Alzati; M. Bertolini

Rendiconti del Seminario Matematico della Università di Padova (1990)

  • Volume: 83, page 139-151
  • ISSN: 0041-8994

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Alzati, A., and Bertolini, M.. "Quartic threefolds containing two skew double lines." Rendiconti del Seminario Matematico della Università di Padova 83 (1990): 139-151. <http://eudml.org/doc/108170>.

@article{Alzati1990,
author = {Alzati, A., Bertolini, M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {generic quartic threefold; rationality},
language = {eng},
pages = {139-151},
publisher = {Seminario Matematico of the University of Padua},
title = {Quartic threefolds containing two skew double lines},
url = {http://eudml.org/doc/108170},
volume = {83},
year = {1990},
}

TY - JOUR
AU - Alzati, A.
AU - Bertolini, M.
TI - Quartic threefolds containing two skew double lines
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1990
PB - Seminario Matematico of the University of Padua
VL - 83
SP - 139
EP - 151
LA - eng
KW - generic quartic threefold; rationality
UR - http://eudml.org/doc/108170
ER -

References

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  1. [A-B1] A. Alzati - M. Bertolini, On the rationality of a certain class of cubic, complexes, Riv. Mat. Univ. Parma (4) 15 (1989). Zbl0723.14037MR1064240
  2. [A-B2] A. Alzati - M. Bertolini, On the problem of rationality for some cubic complexes, Indag. Mat., 91 (1988), pp. 349-364. Zbl0683.14015MR976520
  3. [A-R] E. Ambrogio - D. Romagnoli, Sulla non razionalità della varietà di Fano di P5 contenente 2 o 3 piani, Quaderno del Dip. di Mat. dell'Università di Torino (1987). 
  4. [B1] A. Beauville, Prym varieties and the Schottky problem, Inv. Math., 41 (1977), pp. 149-196. Zbl0333.14013MR572974
  5. [B2] A. Beauville, Varietés de Prym et Jacobienne intermediaires, Ann. Sc. E. Norm. Sup., Serie 4, t. 10 (1977), pp. 309-391. Zbl0368.14018MR472843
  6. [C] A. Conte, Introduzione alle varietà algebriche a tre dimensioni, Quaderno U.M.I. n. 22, Ed. Pitagora, Bologna (1982). Zbl0509.14043MR738782
  7. [C-M] A. Conte - J.P. Murre, On quartic threefolds with a double line - I, II, Indag. Math., 80 (1977), pp. 145-175. Zbl0353.14016MR498594
  8. [F] G. Fano, Sulle varietà algebriche a tre dimensioni aventi tutti i generi nulli, Atti del Congresso di Bologna 1928, t. IV, Ed. Zanichelli. Zbl57.0448.03JFM57.0448.03
  9. [I 1] V.A. Iskovskih, Algebraic threefolds with special regard to the problem of rationality, Proc. of the Int. Cong. of Mat. 1983, Warszava, pp. 733-746. Zbl0587.14026MR804729
  10. [I2] V.A. Iskovskih, On the rationality problem for conic bundles, Duke Math. J., 54 (1987), pp. 271-294. Zbl0629.14033MR899398
  11. [Sa] V.G. Sarkisov, On conic bundles structures, Math. U.S.S.R. Izvestiya, 20, 2 (1982), pp. 355-390. Zbl0593.14034MR651652

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