The Fano surface of the Gushel threefold

Atanas Iliev

Compositio Mathematica (1994)

  • Volume: 94, Issue: 1, page 81-107
  • ISSN: 0010-437X

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Iliev, Atanas. "The Fano surface of the Gushel threefold." Compositio Mathematica 94.1 (1994): 81-107. <http://eudml.org/doc/90330>.

@article{Iliev1994,
author = {Iliev, Atanas},
journal = {Compositio Mathematica},
keywords = {Gushel threefold},
language = {eng},
number = {1},
pages = {81-107},
publisher = {Kluwer Academic Publishers},
title = {The Fano surface of the Gushel threefold},
url = {http://eudml.org/doc/90330},
volume = {94},
year = {1994},
}

TY - JOUR
AU - Iliev, Atanas
TI - The Fano surface of the Gushel threefold
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 94
IS - 1
SP - 81
EP - 107
LA - eng
KW - Gushel threefold
UR - http://eudml.org/doc/90330
ER -

References

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  1. [Co] A. Collino: The Abel-Jacobi isomorphism for the cubic fivefold, Pacific J. Math.122(1) 198643-55. Zbl0618.14018MR825222
  2. [CG] C.H. Clemens and Ph. Griffiths: On the intermediate jacobian of the cubic threefold, Ann. Math.95(2) (1972) 281-356. Zbl0214.48302MR302652
  3. [CV] G. Ceresa and A. Verra: The Abel-Jacobi isomorphism for the sextic double solid, Pacific J. Math.124(1) (1986) 85-105. Zbl0593.14026MR850668
  4. [F] W. Fulton: Intersection Theory. Springer Verlag (1984). Zbl0541.14005MR732620
  5. [FN] M. Furushima and N. Nakayama: The family of lines on the Fano threefold V5, Nagoya Math. J.116 (1989) 111-122. Zbl0731.14025MR1029973
  6. [G] N.P. Gushel: On the Fano varieties of genus 6, Math. USSR, Izv. 21(3) (1983) 445-459. Zbl0554.14014MR682488
  7. [GH] Ph. Griffiths and J. Harris: Principles of Algebraic Geometry, NY (1978). Zbl0408.14001
  8. [HT] J. Harris and L. Tu: Chern numbers of kernel and cokernel bundles, Invent. Math.75(3) (1984) 467-475. Zbl0542.14015MR735336
  9. [I] V.A. Iskovskih: Fano threefolds I, Math. USSR, Izv.11(3) (1977) 485-527; Fano threefolds II, Math. USSR, Izv.12(3) (1978) 469-506. Zbl0424.14012
  10. [II] A.I. Iliev: Lines on the Gushel threefold: to appear in: Indagationes Math. (1994). Zbl0840.14027MR1188200
  11. [JLP] T. Josefiak, A. Lascoux and P. Pragacz: Classes of determined varieties associated with symmetric and skew-symmetric matrices, Math. USSR, Izv. 18(3) (1982) 575-586. Zbl0489.14020
  12. [L] M. Letizia: The Abel-Jacobi mapping for the quartic threefold, Invent. Math.75 (1984) 477-492. Zbl0571.14022MR735337
  13. [PB] L. Picco Botta: On the intersection of three quadrics, J. Reine Angew. Math.399 (1989) 188-207. Zbl0667.14019MR1004138
  14. [W] G.E. Welters: Abel-Jacobi isogenies for certain types of Fano threefolds, Math. Centre Tracts141, Math. Centrum, Amsterdam (1981)-Thesis. Zbl0474.14028MR633157

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