Monads and cohomology modules of rank 2 vector bundles

Wolfram Decker

Compositio Mathematica (1990)

  • Volume: 76, Issue: 1-2, page 7-17
  • ISSN: 0010-437X

How to cite

top

Decker, Wolfram. "Monads and cohomology modules of rank 2 vector bundles." Compositio Mathematica 76.1-2 (1990): 7-17. <http://eudml.org/doc/90056>.

@article{Decker1990,
author = {Decker, Wolfram},
journal = {Compositio Mathematica},
keywords = {graded module of finite length; cohomology module; Horrocks-Mumford bundle; Horrocks-Mumford monad},
language = {eng},
number = {1-2},
pages = {7-17},
publisher = {Kluwer Academic Publishers},
title = {Monads and cohomology modules of rank 2 vector bundles},
url = {http://eudml.org/doc/90056},
volume = {76},
year = {1990},
}

TY - JOUR
AU - Decker, Wolfram
TI - Monads and cohomology modules of rank 2 vector bundles
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 76
IS - 1-2
SP - 7
EP - 17
LA - eng
KW - graded module of finite length; cohomology module; Horrocks-Mumford bundle; Horrocks-Mumford monad
UR - http://eudml.org/doc/90056
ER -

References

top
  1. [B-S] D. Bayer and M. Stillman: Macaulay, a computer algebra system for algebraic geometry. 
  2. [Ha] R. Hartshorne: Algebraic vector bundles on projective spaces: A problem list. Topology18 (1979) 117-228. Zbl0417.14011MR544153
  3. [H-M] G. Horrocks and D. Mumford: A rank 2 vector bundle on P4 with 15,000 symmetries. Topology12 (1973) 63-81. Zbl0255.14017MR382279
  4. [Ho 1] G. Horrocks: Vector bundles on the punctured spectrum of a local ring. Proc. London Math. Soc.14 (1964) 689-713. Zbl0126.16801MR169877
  5. [Ho 2] G. Horrocks: Construction of bundles on Pn. In: Les équations de Yang-Mills, A. Douady, J.-L. Verdier, séminaire E.N.S. 1977-1978. Astérisque71-72 (1980) 197-203. MR589891
  6. [Ma 1] N. Manolache: Syzygies of abelian surfaces embedded in P4. J. reine angew. Math.384 (1988) 180-191. Zbl0677.14002MR929982
  7. [Ma 2] N. Manolache: The equations of the abelian surfaces embedded in P4(C). Preprint, Bukarest, 1988. MR929982
  8. [O-S-S] C. Okonek, M. Schneider and H. Spindler: Vector bundles on complex projective spaces. Boston, Basel, Stuttgart: Birkhäuser1980. Zbl0438.32016MR561910
  9. [Ra] P. Rao: A note on cohomology modules of rank two bundles. J. Algebra86, (1984) 23-34. Zbl0528.14008MR727366

NotesEmbed ?

top

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.