no. 1-2
Monads and cohomology modules of rank 2 vector bundles
Compositio Mathematica, Tome 76 (1990) no. 1-2, pp. 7-17 
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     author = {Decker, Wolfram},
     title = {Monads and cohomology modules of rank $2$ vector bundles},
     journal = {Compositio Mathematica},
     pages = {7--17},
     year = {1990},
     publisher = {Kluwer Academic Publishers},
     volume = {76},
     number = {1-2},
     mrnumber = {1078855},
     zbl = {0722.14005},
     language = {en},
     url = {https://www.numdam.org/item/CM_1990__76_1-2_7_0/}
}
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%T Monads and cohomology modules of rank $2$ vector bundles
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%N 1-2
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Decker, Wolfram. Monads and cohomology modules of rank $2$ vector bundles. Compositio Mathematica, Tome 76 (1990) no. 1-2, pp. 7-17. https://www.numdam.org/item/CM_1990__76_1-2_7_0/

[B-S] D. Bayer and M. Stillman: Macaulay, a computer algebra system for algebraic geometry.

[Ha] R. Hartshorne: Algebraic vector bundles on projective spaces: A problem list. Topology 18 (1979) 117-228. | Zbl | MR

[H-M] G. Horrocks and D. Mumford: A rank 2 vector bundle on P4 with 15,000 symmetries. Topology 12 (1973) 63-81. | Zbl | MR

[Ho 1] G. Horrocks: Vector bundles on the punctured spectrum of a local ring. Proc. London Math. Soc. 14 (1964) 689-713. | Zbl | MR

[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. Astérisque 71-72 (1980) 197-203. | MR

[Ma 1] N. Manolache: Syzygies of abelian surfaces embedded in P4. J. reine angew. Math. 384 (1988) 180-191. | Zbl | MR

[Ma 2] N. Manolache: The equations of the abelian surfaces embedded in P4(C). Preprint, Bukarest, 1988. | MR

[O-S-S] C. Okonek, M. Schneider and H. Spindler: Vector bundles on complex projective spaces. Boston, Basel, Stuttgart: Birkhäuser 1980. | Zbl | MR

[Ra] P. Rao: A note on cohomology modules of rank two bundles. J. Algebra 86, (1984) 23-34. | Zbl | MR