The scheme of morphisms from an elliptic curve to a Grassmannian

A. Bruguières

Compositio Mathematica (1987)

  • Volume: 63, Issue: 1, page 15-40
  • ISSN: 0010-437X

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Bruguières, A.. "The scheme of morphisms from an elliptic curve to a Grassmannian." Compositio Mathematica 63.1 (1987): 15-40. <http://eudml.org/doc/89849>.

@article{Bruguières1987,
author = {Bruguières, A.},
journal = {Compositio Mathematica},
keywords = {unidecomposable sheaf; morphisms from an elliptic curve to a Grassmann variety},
language = {eng},
number = {1},
pages = {15-40},
publisher = {Martinus Nijhoff Publishers},
title = {The scheme of morphisms from an elliptic curve to a Grassmannian},
url = {http://eudml.org/doc/89849},
volume = {63},
year = {1987},
}

TY - JOUR
AU - Bruguières, A.
TI - The scheme of morphisms from an elliptic curve to a Grassmannian
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 63
IS - 1
SP - 15
EP - 40
LA - eng
KW - unidecomposable sheaf; morphisms from an elliptic curve to a Grassmann variety
UR - http://eudml.org/doc/89849
ER -

References

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  1. [A] M.F. Atiyah: Vector Bundles over an Elliptic Curve. Proc. Lond. Math. Soc. (3) VII17 (1957) 414-452. Zbl0084.17305MR131423
  2. [A1] M.F. Atiyah: On the Krull-Schmidt Theorem with Applications to Sheaves. Bull. Soc. Math. France84 (1956) 307-317. Zbl0072.18101MR86358
  3. [B] A. Bruguières: Filtration de Harder-Narasimhan et stratification de Shatz. In: Module fibrés stables sur les courbes algébriques, Progress in Mathematics. Birkhâuser (1983). Zbl0577.14012MR790321
  4. [B1] A. Bruguières: Le schéma des morphismes d'une courbe elliptique dans une grassmannienne, thèse de 3è cycle. Université Paris7 (1984). 
  5. [G] A. Grothendieck: Techniques de construction en géométrie algébrique, Séminaire Bourbaki, exposé 221. Zbl0236.14003
  6. [H] R. Hartshorne, Algebraic Geometry. Springer-Verlag (1977). Zbl0367.14001MR463157
  7. [He] R. Hernandez: On a Harder-Narasimhan Stratification. Preprint. 
  8. [O] T. Oda: Vector Bundles on an Elliptic Curve. Nagoya Math. Jour.43 (1971) 41-72. Zbl0201.53603MR318151
  9. [S] C.S. Seshadri: Fibrés Vectoriels sur les Courbes Algébriques (rédigé par J.-M. Drézet). Astérisque96 (1982). Zbl0517.14008MR699278
  10. [Sh] S. Shatz: The Decomposition and Specialization of Algebraic Families of Vector Bundles. Comp. Math.35 (2) (1977) 163-187. Zbl0371.14010MR498573
  11. [V] J.-L. Verdier: Two-dimensional σ-models and Harmonic Maps S2 → S2n. In: Grouptheoretical Methods in Physics, Lecture Notes in Physics180. Springer-Verlag. Zbl0528.58008

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