Le Potier's vanishing theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Le Potier's vanishing theorem" in English language version.

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(Verdier 1974) Verdier, J. L. (1974). ""Le théorème de Le Potier." Différents aspects de la positivité" (PDF). Soc. Math. France, Paris. 17: 68–78. MR 0367312.

arxiv.org

(Laytimi & Nahm 2004) Laytimi, F.; Nahm, W. (2004). "A generalization of le Potier's vanishing theorem". Manuscripta Mathematica. 113 (2): 165–189. arXiv:math/0210010. doi:10.1007/s00229-003-0432-y. S2CID 14203286.
(Demailly 1996, p.30) Demailly, Jean-Pierre (1996). "L2 vanishing theorems for positive line bundles and adjunction theory". Transcendental Methods in Algebraic Geometry. Lecture Notes in Mathematics. Vol. 1646. pp. 1–97. arXiv:alg-geom/9410022. doi:10.1007/BFb0094302. ISBN 978-3-540-62038-9. S2CID 117583140.
(Manivel 1997) Manivel, Laurent (1997). "Vanishing theorems for ample vector bundles". Inventiones Mathematicae. 127 (2): 401–416. arXiv:alg-geom/9603012. Bibcode:1997InMat.127..401M. doi:10.1007/s002220050126. S2CID 14052238.

books.google.com

(Lazarsfeld 2004) Lazarsfeld, Robert (2004). Positivity in Algebraic Geometry II. doi:10.1007/978-3-642-18810-7. ISBN 978-3-540-22531-7.
(Shiffman & Sommese 1985) Shiffman, Bernard; Sommese, Andrew John (1985). "Vector Bundles: Ampleness". Vanishing Theorems on Complex Manifolds. Progress in Mathematics. Vol. 56. pp. 89–116. doi:10.1007/978-1-4899-6680-3_5. ISBN 978-1-4899-6682-7.
(Peternell 1994) Peternell, Th. (1994). "Pseudoconvexity, the Levi Problem and Vanishing Theorems". Several Complex Variables VII. Encyclopaedia of Mathematical Sciences. Vol. 74. pp. 221–257. doi:10.1007/978-3-662-09873-8_6. ISBN 978-3-642-08150-7.

doi.org

(Lazarsfeld 2004) Lazarsfeld, Robert (2004). Positivity in Algebraic Geometry II. doi:10.1007/978-3-642-18810-7. ISBN 978-3-540-22531-7.
(Shiffman & Sommese 1985) Shiffman, Bernard; Sommese, Andrew John (1985). "Vector Bundles: Ampleness". Vanishing Theorems on Complex Manifolds. Progress in Mathematics. Vol. 56. pp. 89–116. doi:10.1007/978-1-4899-6680-3_5. ISBN 978-1-4899-6682-7.
(Peternell 1994) Peternell, Th. (1994). "Pseudoconvexity, the Levi Problem and Vanishing Theorems". Several Complex Variables VII. Encyclopaedia of Mathematical Sciences. Vol. 74. pp. 221–257. doi:10.1007/978-3-662-09873-8_6. ISBN 978-3-642-08150-7.
(Laytimi & Nahm 2004) Laytimi, F.; Nahm, W. (2004). "A generalization of le Potier's vanishing theorem". Manuscripta Mathematica. 113 (2): 165–189. arXiv:math/0210010. doi:10.1007/s00229-003-0432-y. S2CID 14203286.
(Schneider 1974) Schneider, Michael (1974). "Ein einfacher Beweis des Verschwindungssatzes für positive holomorphe Vektorraumbündel". Manuscripta Mathematica. 11: 95–101. doi:10.1007/BF01189093. S2CID 120722017.
(Broer 1997) Broer, Abraham (1997). "A vanishing theorem for Dolbeault cohomology of homogeneous vector bundles". Journal für die reine und angewandte Mathematik (Crelle's Journal). 1997 (493): 153–170. doi:10.1515/crll.1997.493.153. S2CID 117547554.
(Demailly 1996, p.30) Demailly, Jean-Pierre (1996). "L2 vanishing theorems for positive line bundles and adjunction theory". Transcendental Methods in Algebraic Geometry. Lecture Notes in Mathematics. Vol. 1646. pp. 1–97. arXiv:alg-geom/9410022. doi:10.1007/BFb0094302. ISBN 978-3-540-62038-9. S2CID 117583140.
(Manivel 1997) Manivel, Laurent (1997). "Vanishing theorems for ample vector bundles". Inventiones Mathematicae. 127 (2): 401–416. arXiv:alg-geom/9603012. Bibcode:1997InMat.127..401M. doi:10.1007/s002220050126. S2CID 14052238.

harvard.edu

ui.adsabs.harvard.edu

(Manivel 1997) Manivel, Laurent (1997). "Vanishing theorems for ample vector bundles". Inventiones Mathematicae. 127 (2): 401–416. arXiv:alg-geom/9603012. Bibcode:1997InMat.127..401M. doi:10.1007/s002220050126. S2CID 14052238.

numdam.org

(Verdier 1974) Verdier, J. L. (1974). ""Le théorème de Le Potier." Différents aspects de la positivité" (PDF). Soc. Math. France, Paris. 17: 68–78. MR 0367312.

semanticscholar.org

api.semanticscholar.org

(Laytimi & Nahm 2004) Laytimi, F.; Nahm, W. (2004). "A generalization of le Potier's vanishing theorem". Manuscripta Mathematica. 113 (2): 165–189. arXiv:math/0210010. doi:10.1007/s00229-003-0432-y. S2CID 14203286.
(Schneider 1974) Schneider, Michael (1974). "Ein einfacher Beweis des Verschwindungssatzes für positive holomorphe Vektorraumbündel". Manuscripta Mathematica. 11: 95–101. doi:10.1007/BF01189093. S2CID 120722017.
(Broer 1997) Broer, Abraham (1997). "A vanishing theorem for Dolbeault cohomology of homogeneous vector bundles". Journal für die reine und angewandte Mathematik (Crelle's Journal). 1997 (493): 153–170. doi:10.1515/crll.1997.493.153. S2CID 117547554.
(Demailly 1996, p.30) Demailly, Jean-Pierre (1996). "L2 vanishing theorems for positive line bundles and adjunction theory". Transcendental Methods in Algebraic Geometry. Lecture Notes in Mathematics. Vol. 1646. pp. 1–97. arXiv:alg-geom/9410022. doi:10.1007/BFb0094302. ISBN 978-3-540-62038-9. S2CID 117583140.
(Manivel 1997) Manivel, Laurent (1997). "Vanishing theorems for ample vector bundles". Inventiones Mathematicae. 127 (2): 401–416. arXiv:alg-geom/9603012. Bibcode:1997InMat.127..401M. doi:10.1007/s002220050126. S2CID 14052238.

uni-goettingen.de

gdz.sub.uni-goettingen.de

(Schneider 1974) Schneider, Michael (1974). "Ein einfacher Beweis des Verschwindungssatzes für positive holomorphe Vektorraumbündel". Manuscripta Mathematica. 11: 95–101. doi:10.1007/BF01189093. S2CID 120722017.
(Broer 1997) Broer, Abraham (1997). "A vanishing theorem for Dolbeault cohomology of homogeneous vector bundles". Journal für die reine und angewandte Mathematik (Crelle's Journal). 1997 (493): 153–170. doi:10.1515/crll.1997.493.153. S2CID 117547554.