Cohomology of a general instanton bundle
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 15 (1982) no. 2, pp. 365-390.
@article{ASENS_1982_4_15_2_365_0,
     author = {Hartshorne, Robin and Hirschowitz, Andr\'e},
     title = {Cohomology of a general instanton bundle},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {365--390},
     publisher = {Elsevier},
     volume = {Ser. 4, 15},
     number = {2},
     year = {1982},
     doi = {10.24033/asens.1429},
     mrnumber = {84c:14011},
     zbl = {0509.14015},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/asens.1429/}
}
TY  - JOUR
AU  - Hartshorne, Robin
AU  - Hirschowitz, André
TI  - Cohomology of a general instanton bundle
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1982
SP  - 365
EP  - 390
VL  - 15
IS  - 2
PB  - Elsevier
UR  - https://www.numdam.org/articles/10.24033/asens.1429/
DO  - 10.24033/asens.1429
LA  - en
ID  - ASENS_1982_4_15_2_365_0
ER  - 
%0 Journal Article
%A Hartshorne, Robin
%A Hirschowitz, André
%T Cohomology of a general instanton bundle
%J Annales scientifiques de l'École Normale Supérieure
%D 1982
%P 365-390
%V 15
%N 2
%I Elsevier
%U https://www.numdam.org/articles/10.24033/asens.1429/
%R 10.24033/asens.1429
%G en
%F ASENS_1982_4_15_2_365_0
Hartshorne, Robin; Hirschowitz, André. Cohomology of a general instanton bundle. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 15 (1982) no. 2, pp. 365-390. doi : 10.24033/asens.1429. https://www.numdam.org/articles/10.24033/asens.1429/

[1] E. Ballico and P. Ellia, On Degeneration and Postulation of a Generic Elliptic Curve.

[2] W. Barth, Some Properties of Stable Rank 2 Vector Bundles on Pn (Math. Ann., Vol. 226, 1977, pp. 125-150). | MR | Zbl

[3] W. Barth, Irreducibility of the Space of Mathematical Instanton Bundles with rank 2 and c2 = 4 (Math. Ann., Vol. 258, 1981, pp. 81-106). | MR | Zbl

[4] J. Brun, Les fibrés de rang deux sur P2 et leurs sections (Bull. Soc. math. France, Vol. 108, 1980, pp. 457-473). | Numdam | MR | Zbl

[5] L. Ein, Stable Vector Bundles on P3 with c1 = -1, c2 = 4.

[6] G. Ellingsrud and S. A. Strømme, Stable Rank 2 Bundles on P3 with c1 = 0 and c2 = 3 (Math. Ann., Vol. 255, 1981, pp. 123-135). | Zbl

[7] A. Grothendieck, Fondements de la géométrie algébrique (extraits du Séminaire Bourbaki, Secr. Math. Paris, 1962). | Zbl

[8] L. Gruson and C. Peskine, Genre des courbes de l'espace projectif, in Algebraic geometry, Tromsø, 1977 (Lecture Notes in Math., Vol. 687, Springer, 1978, pp. 31-59). | Zbl

[9] R. Hartshorne, Ample Subvarieties of Algebraic Varieties (Lecture Notes in Math., Vol. 156, Springer, 1970). | MR | Zbl

[10] R. Hartshorne, Algebraic geometry (Graduate texts in math., Vol. 52, Springer, 1977). | MR | Zbl

[11] R. Hartshorne, Stable Vector Bundles of Rank 2 on P3 (Math. Ann., Vol. 238, 1978, pp. 229-280). | MR | Zbl

[12] R. Hartshorne, Stable Vector Bundles and Instantons (Comm. Math. Phys., Vol. 59, 1978, pp. 1-15). | MR | Zbl

[13] R. Hartshorne, Algebraic Vector Bundles on Projective Spaces: a Problem List (Topology, Vol. 18, 1979, pp. 117-128). | MR | Zbl

[14] R. Hartshorne, On the Classification of Algebraic Space Curves, in Fibrés vectoriels et équations différentielles, Nice, 1979, Birkhäuser, 1980, pp. 83-112. | Zbl

[15] R. Hartshorne, Stable Reflexive Sheaves, II (Invent. Math. Vol. 66, 1982, pp. 165-190). | MR | Zbl

[16] R. Hartshorne and A. Hirschowitz, Droites en position générale dans l'espace projectif, La Rabida conference. | Zbl

[17] R. Hartshorne and I. Sols, Stable Rank 2 Vector Bundles on P3 with c1 = -1, c2 = 2 (Crelle J., Vol. 325, 1981, pp. 145-152). | MR | Zbl

[18] A. Hirschowitz, Sur la postulation générique des courbes rationnelles (Acta Math., Vol. 146, 1981, pp. 209-230). | MR | Zbl

[19] G. Horrocks, Vector Bundles on the Punctured Spectrum of a Local Ring (Proc. Lond. Math. Soc., Vol. 14, 1964, pp. 689-713). | MR | Zbl

[20] H. Lange, Invertierbare Untergarben Maximalen Grades von Rang-2 Vectorbündeln auf der Projektiven Ebene (Archiv der Math., Vol. 34, 1980, pp. 313-321). | MR | Zbl

[21] Le Potier, Stabilité et amplitude sur P2 (C), in: Vector Bundles and Differential Equations, Nice, 1979, Birkhäuser, 1980, pp. 145-182. | MR | Zbl

[22] H. Manolache, Stable Rank 2 Vector Bundles on P3 with Chern Classes c1 = -1, c2 = 2, preprint, Bucuresti.

[23] M. Maruyama, Openness of a Family of Torsion-Free Sheaves (J. Math. Kyoto Univ., Vol. 16, 1976, pp. 627-637). | MR | Zbl

[24] M. Maruyama, Moduli of Stable Sheaves, II (J. Math. Kyoto Univ., Vol. 18, 1978, pp. 557-614). | MR | Zbl

[25] D. Mumford, Lectures on curves on an Algebraic Surface (Annals of Math. Studies, Vol. 59, Princeton, 1966). | MR | Zbl

  • Faenzi, Daniele; Pretti, Victor Ulrich ranks of Veronese varieties and equivariant instantons, Bulletin of the London Mathematical Society (2025) | DOI:10.1112/blms.70046
  • Costa, Laura A Sample of Problems Where Ulrich Bundles Show up, Cutting-Edge Mathematics, Volume 13 (2024), p. 45 | DOI:10.1007/978-3-031-62025-6_3
  • Galeano, Hugo; Jardim, Marcos; Muniz, Alan Codimension one distributions of degree 2 on the three-dimensional projective space, Journal of Pure and Applied Algebra, Volume 226 (2022) no. 2, p. 106840 | DOI:10.1016/j.jpaa.2021.106840
  • Costa, Laura; Miró-Roig, Rosa M. Instanton bundles vs Ulrich bundles on projective spaces, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Volume 62 (2021) no. 2, p. 429 | DOI:10.1007/s13366-020-00506-7
  • Anghel, Cristian; Coandă, Iustin; Manolache, Nicolae A property of five lines in ℙ3 and four generated 4-instantons, Communications in Algebra, Volume 49 (2021) no. 1, p. 1 | DOI:10.1080/00927872.2020.1791896
  • Boralevi, Ada; Faenzi, Daniele; Lella, Paolo Truncated Modules and Linear Presentations of Vector Bundles, International Mathematics Research Notices, Volume 2018 (2018) no. 17, p. 5347 | DOI:10.1093/imrn/rnx032
  • Ivanov, Aleksei N.; Tikhomirov, Alexander S. Semistable rank 2 sheaves with singularities of mixed dimension on P3, Journal of Geometry and Physics, Volume 129 (2018), p. 90 | DOI:10.1016/j.geomphys.2018.02.018
  • Erman, Daniel; Sam, Steven V Supernatural analogues of Beilinson monads, Compositio Mathematica, Volume 152 (2016) no. 12, p. 2545 | DOI:10.1112/s0010437x16007703
  • Marques, Pedro Macias; Soares, Helena Cohomological characterisation of monads, Mathematische Nachrichten, Volume 287 (2014) no. 17-18, p. 2057 | DOI:10.1002/mana.201300208
  • Boralevi, Ada; Faenzi, Daniele; Mezzetti, Emilia Linear spaces of matrices of constant rank and instanton bundles, Advances in Mathematics, Volume 248 (2013), p. 895 | DOI:10.1016/j.aim.2013.08.018
  • Eisenbud, David; Schreyer, Frank-Olaf Boij–Söderberg Theory, Combinatorial Aspects of Commutative Algebra and Algebraic Geometry (2011), p. 35 | DOI:10.1007/978-3-642-19492-4_3
  • Rahavandrainy, Olivier Résolution des fibrés généraux stables de rang 2 sur ℙ 3 de classes de Chern c 1 =-1,c 2 =2p≥6 : I, Annales de la Faculté des sciences de Toulouse : Mathématiques, Volume 19 (2010) no. 2, p. 231 | DOI:10.5802/afst.1242
  • Faenzi, Daniele Homogeneous instanton bundles on P3 for the action of SL(2), Journal of Geometry and Physics, Volume 57 (2007) no. 10, p. 2146 | DOI:10.1016/j.geomphys.2007.06.003
  • Costa, Laura; Miró-Roig, R.M. Monads and regularity of vector bundles on projective varieties, Michigan Mathematical Journal, Volume 55 (2007) no. 2 | DOI:10.1307/mmj/1187647001
  • Guffroy, Sébastien Lissité du schéma de Hilbert en bas degré, Journal of Algebra, Volume 277 (2004) no. 2, p. 520 | DOI:10.1016/j.jalgebra.2003.10.018
  • Eisenbud, David; Schreyer, Frank-Olaf; Weyman, Jerzy Resultants and Chow forms via exterior syzygies, Journal of the American Mathematical Society, Volume 16 (2003) no. 3, p. 537 | DOI:10.1090/s0894-0347-03-00423-5
  • Roggero, Margherita Rank Two Bundles And Reflexive Sheaves On P3 And Corresponding Curves, Geometric And Combinatorial Aspects Of Commutative Algebra (2001) | DOI:10.1201/9780203908013.ch28
  • Fløystad, Gunnar Monads on projective spaces, Communications in Algebra, Volume 28 (2000) no. 12, p. 5503 | DOI:10.1080/00927870008827171
  • Schlesinger, Enrico Footnote to a paper by hartshorne, Communications in Algebra, Volume 28 (2000) no. 12, p. 6079 | DOI:10.1080/00927870008827204
  • Ballico, E. Stable sheaves on reduced projective curves, Annali di Matematica Pura ed Applicata, Volume 175 (1998) no. 1, p. 375 | DOI:10.1007/bf01783694
  • Rahavandrainy, Olivier Résolution des fibres instantons généraux, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Volume 325 (1997) no. 2, p. 189 | DOI:10.1016/s0764-4442(97)84597-1
  • Tikhomirov, A. A. The main component of the moduli space of mathematical instanton vector bundles on P3, Journal of Mathematical Sciences, Volume 86 (1997) no. 5, p. 3004 | DOI:10.1007/bf02355113
  • Ballico, E. On the homogeneous ideal of finite sets in Pn, Journal of Algebra, Volume 150 (1992) no. 1, p. 206 | DOI:10.1016/s0021-8693(05)80056-0
  • Floystad, Gunnar On space curves with good cohomological properties, Mathematische Annalen, Volume 291 (1991) no. 1, p. 505 | DOI:10.1007/bf01445225
  • Ballico, Edoardo On the homogeneous ideal of projectively normal curves, Annali di Matematica Pura ed Applicata, Volume 154 (1989) no. 1, p. 83 | DOI:10.1007/bf01790343
  • Bolondi, Giorgio A note on the postulation of maximal rank curves, ANNALI DELL UNIVERSITA DI FERRARA, Volume 33 (1987) no. 1, p. 237 | DOI:10.1007/bf02825032
  • Hirschowitz, André Existence De Faisceaux Réflexifs De Rang Deux SurP 3 À Bonne Cohomologie, Publications mathématiques de l'IHÉS, Volume 66 (1987) no. 1, p. 105 | DOI:10.1007/bf02698929
  • Hirschowitz, Andr� La Methode d1Horace pour l'Interpolation � Plusieurs Variables, Manuscripta Mathematica, Volume 50 (1985) no. 1, p. 337 | DOI:10.1007/bf01168836
  • Hartshorne, Robin Stable reflexive sheaves. II, Inventiones Mathematicae, Volume 66 (1982) no. 1, p. 165 | DOI:10.1007/bf01404762
  • Hirschowitz, André Sections planes et multisecantes pour les courbes gauches generiques principales, Space Curves, Volume 1266 (1981), p. 124 | DOI:10.1007/bfb0078182

Cité par 30 documents. Sources : Crossref