Stable vector bundles and the frobenius morphism
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 6 (1973) no. 1, pp. 95-101. 
@article{ASENS_1973_4_6_1_95_0,
     author = {Gieseker, David},
     title = {Stable vector bundles and the frobenius morphism},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {95--101},
     publisher = {Elsevier},
     volume = {Ser. 4, 6},
     number = {1},
     year = {1973},
     doi = {10.24033/asens.1245},
     mrnumber = {48 #3963},
     zbl = {0281.14013},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/asens.1245/}
}
TY  - JOUR
AU  - Gieseker, David
TI  - Stable vector bundles and the frobenius morphism
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1973
SP  - 95
EP  - 101
VL  - 6
IS  - 1
PB  - Elsevier
UR  - https://www.numdam.org/articles/10.24033/asens.1245/
DO  - 10.24033/asens.1245
LA  - en
ID  - ASENS_1973_4_6_1_95_0
ER  - 
%0 Journal Article
%A Gieseker, David
%T Stable vector bundles and the frobenius morphism
%J Annales scientifiques de l'École Normale Supérieure
%D 1973
%P 95-101
%V 6
%N 1
%I Elsevier
%U https://www.numdam.org/articles/10.24033/asens.1245/
%R 10.24033/asens.1245
%G en
%F ASENS_1973_4_6_1_95_0
Gieseker, David. Stable vector bundles and the frobenius morphism. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 6 (1973) no. 1, pp. 95-101. doi : 10.24033/asens.1245. https://www.numdam.org/articles/10.24033/asens.1245/

[1] P. Deligne and D. Mumford, The Irreducibility of the Space of Curves of Given Genus (Publ. Math. I. H. E. S., No. 36, 1969). | Numdam | MR | Zbl

[2] D. Gieseker, Flat Vector Bundles and the Fundamental Group in Non-zero Characteristics.

[3] R. Hartshorne, Ample Vector Bundles on Curves (Nagoya Math. J., vol. 43, p. 73-90). | MR | Zbl

[4] R. Hartshorne, Ample Vector Bundles (Publ. Math. I. H. E. S., No. 29, 1966). | Numdam | MR | Zbl

[5] D. Mumford, An Analytic Construction of Degenerating Cuvves over Complete Local Rings (Math. Notes, University of Warwick).

[6] H. Tango, On the Behavior of Extensions of Vector Bundles under Frobenius Map (Nagoya Math. J., vol. 48, 1972). | MR | Zbl

  • Sheng, Mao; Sun, Hao; Wang, Jianping On the existence of gr-semistable filtrations of orthogonal/symplectic λ-connections, Journal de l’École polytechnique — Mathématiques, Volume 11 (2024), p. 1181 | DOI:10.5802/jep.276
  • Li, Lingguang; Zhang, Hongyi On Frobenius stratification of moduli spaces of rank 4 vector bundles, manuscripta mathematica, Volume 173 (2024) no. 3-4, p. 961 | DOI:10.1007/s00229-023-01488-1
  • SUN, Hao Max Bogomolov's inequality for product type varieties in positive characteristic, Journal of the Mathematical Society of Japan, Volume 75 (2023) no. 1 | DOI:10.2969/jmsj/87338733
  • Kedlaya, Kiran S. Perfectoid Spaces: An Annotated Bibliography, Perfectoid Spaces (2022), p. 221 | DOI:10.1007/978-981-16-7121-0_6
  • Trivedi, Vijaylaxmi; Watanabe, Kei-Ichi Hilbert-Kunz density functions and F-thresholds, Journal of Algebra, Volume 567 (2021), p. 533 | DOI:10.1016/j.jalgebra.2020.09.025
  • Ohta, Rikito; Okawa, Shinnosuke On ruled surfaces with big anti-canonical divisor and numerically trivial divisors on weak log Fano surfaces, manuscripta mathematica, Volume 166 (2021) no. 1-2, p. 1 | DOI:10.1007/s00229-020-01242-x
  • Randriambololona, Hugues Harder–Narasimhan theory for linear codes (with an appendix on Riemann–Roch theory), Journal of Pure and Applied Algebra, Volume 223 (2019) no. 7, p. 2997 | DOI:10.1016/j.jpaa.2018.10.006
  • Lavanda, Elena Specialization map between stratified bundles and pro-étale fundamental group, Advances in Mathematics, Volume 335 (2018), p. 27 | DOI:10.1016/j.aim.2018.06.013
  • Li, Lingguang Frobenius stratification of moduli spaces of rank 3 vector bundles in positive characteristic 3, I, Transactions of the American Mathematical Society, Volume 372 (2018) no. 8, p. 5693 | DOI:10.1090/tran/7737
  • XU, DAXIN TRANSPORT PARALLÈLE ET CORRESPONDANCE DE SIMPSON -ADIQUE, Forum of Mathematics, Sigma, Volume 5 (2017) | DOI:10.1017/fms.2017.7
  • Chen, Huayi Majorations explicites des fonctions de Hilbert–Samuel géométrique et arithmétique, Mathematische Zeitschrift, Volume 279 (2015) no. 1-2, p. 99 | DOI:10.1007/s00209-014-1359-6
  • GURJAR, SUDARSHAN; MEHTA, VIKRAM RATIONALITY OF THE INSTABILITY PARABOLIC AND RELATED RESULTS, Transformation Groups, Volume 20 (2015) no. 1, p. 99 | DOI:10.1007/s00031-014-9296-3
  • Liu, Congjun; Zhou, Mingshuo Stable bundles as Frobenius morphism direct image, Comptes Rendus. Mathématique, Volume 351 (2013) no. 9-10, p. 381 | DOI:10.1016/j.crma.2013.04.021
  • Bost, Jean-Benoît; Chen, Huayi Concerning the semistability of tensor products in Arakelov geometry, Journal de Mathématiques Pures et Appliquées, Volume 99 (2013) no. 4, p. 436 | DOI:10.1016/j.matpur.2012.09.009
  • Li, Lingguang; Yu, Fei Instability of truncated symmetric powers of sheaves, Journal of Algebra, Volume 386 (2013), p. 176 | DOI:10.1016/j.jalgebra.2013.03.027
  • Brenner, Holger Forcing algebras, syzygy bundles, and tight closure, Commutative Algebra (2011), p. 77 | DOI:10.1007/978-1-4419-6990-3_4
  • Argáez, A. S. Examples of Stability of Tensor Products in Positive Characteristic, ISRN Algebra, Volume 2011 (2011), p. 1 | DOI:10.5402/2011/659672
  • BISWAS, INDRANIL ON THE STRATIFIED VECTOR BUNDLES, International Journal of Mathematics, Volume 20 (2009) no. 08, p. 979 | DOI:10.1142/s0129167x09005601
  • Chen, Huayi Maximal slope of tensor product of Hermitian vector bundles, Journal of Algebraic Geometry, Volume 18 (2008) no. 3, p. 575 | DOI:10.1090/s1056-3911-08-00513-4
  • Kitadai, Yukinori; Sumihiro, Hideyasu Canonical filtrations and stability of direct images by Frobenius morphisms, Tohoku Mathematical Journal, Volume 60 (2008) no. 2 | DOI:10.2748/tmj/1215442876
  • dos Santos, João Pedro Pinto Fundamental group schemes for stratified sheaves, Journal of Algebra, Volume 317 (2007) no. 2, p. 691 | DOI:10.1016/j.jalgebra.2007.03.005
  • Nakashima, Tohru Error-correcting codes on projective bundles, Finite Fields and Their Applications, Volume 12 (2006) no. 2, p. 222 | DOI:10.1016/j.ffa.2005.04.008
  • Biswas, Indranil; Parameswaran, A.J. Principal bundles over a curve in positive characteristic, II, Bulletin des Sciences Mathématiques, Volume 129 (2005) no. 3, p. 267 | DOI:10.1016/j.bulsci.2004.10.002
  • Laszlo, Yves; Pauly, Christian The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3, Advances in Mathematics, Volume 185 (2004) no. 2, p. 246 | DOI:10.1016/s0001-8708(03)00211-1
  • Ilangovan, S.; Mehta, V. B.; Parameswaran, A. J. Semistability and Semisimplicity in representations of low height in positive characteristic, A Tribute to C. S. Seshadri (2003), p. 271 | DOI:10.1007/978-93-86279-11-8_18
  • Laszlo, Y.; Pauly, C. The action of the Frobenius map on rank 2 vector bundles in characteristic 2, Journal of Algebraic Geometry, Volume 11 (2001) no. 2, p. 219 | DOI:10.1090/s1056-3911-01-00310-1
  • Moriwaki, Atsushi Relative Bogomolov’s inequality and the cone of positive divisors on the moduli space of stable curves, Journal of the American Mathematical Society, Volume 11 (1998) no. 3, p. 569 | DOI:10.1090/s0894-0347-98-00261-6
  • Butler, David C. On the Stability of M E, Algebraic Geometry and its Applications, Volume 25 (1994), p. 21 | DOI:10.1007/978-3-322-99342-7_3
  • Butler, David C. Normal generation of vector bundles over a curve, Journal of Differential Geometry, Volume 39 (1994) no. 1 | DOI:10.4310/jdg/1214454673
  • Moriwaki, Atsushi A criterion of openness of a family of nef line bundles, Manuscripta Mathematica, Volume 75 (1992) no. 1, p. 327 | DOI:10.1007/bf02567088
  • Mehta, V B; Nori, M V Semistable sheaves on homogeneous spaces and abelian varieties, Proceedings Mathematical Sciences, Volume 93 (1984) no. 1, p. 1 | DOI:10.1007/bf02861830
  • Maruyama, Masaki The theorem of Grauert-M�lich-Spindler, Mathematische Annalen, Volume 255 (1981) no. 3, p. 317 | DOI:10.1007/bf01450706
  • Raynaud, M. Fibrés Vectoriels Instables-Applications aux Surfaces (d'après Bogomolov), Surfaces Algébriques, Volume 868 (1981), p. 293 | DOI:10.1007/bfb0090653
  • Morrison, Ian Projective stability of ruled surfaces, Inventiones Mathematicae, Volume 56 (1980) no. 3, p. 269 | DOI:10.1007/bf01390049
  • Lange, Herbert On stable and ample vector bundles of rank 2 on curves, Mathematische Annalen, Volume 238 (1978) no. 3, p. 193 | DOI:10.1007/bf01420246
  • Dolgachev, I. V.; Iskovskikh, V. A. Geometry of algebraic varieties, Journal of Soviet Mathematics, Volume 5 (1976) no. 6, p. 803 | DOI:10.1007/bf01085150

Cité par 36 documents. Sources : Crossref