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Tangent bundle of a complete intersection
Author(s):
Indranil
Biswas
Journal:
Trans. Amer. Math. Soc.
362
(2010),
3149-3160.
MSC (2010):
Primary 14F05, 14M10
Posted:
January 7, 2010
MathSciNet review:
2592950
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Abstract:
Let be a Fano variety of Picard number one defined over an algebraically closed field. We give conditions under which the tangent bundle of a complete intersection on is stable or strongly stable.
References:
-
- [DI]
- P. Deligne and L. Illusie, Relèvements modulo
et décomposition du complexe de de Rham, Invent. Math. 89 (1987), 247-270. MR 894379 (88j:14029) - [Gr]
- A. Grothendieck, Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux (SGA 2), Advanced Studies in Pure Mathematics, Vol. 2, North-Holland Publishing Co., Amsterdam; Masson & Cie, Éditeur, Paris, 1968. MR 0476737 (57:16294)
- [Kob]
- S. Kobayashi, Differential Geometry of Complex Vector Bundles, Publications of the Math. Society of Japan 15, Iwanami Shoten Publishers and Princeton University Press, 1987. MR 909698 (89e:53100)
- [KO]
- S. Kobayashi and T. Ochiai, On complex manifolds with positive tangent bundles, Jour. Math. Soc. Japan 22 (1970), 499-525. MR 0275477 (43:1231)
- [Kol]
- J. Kollár, Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3, Folge 32, Springer-Verlag, Berlin, 1995. MR 1440180 (98c:14001)
- [MR]
- V. B. Mehta and A. Ramanathan, Homogeneous bundles in characteristic
, (in: Algebraic geometry--open problems (Ravello, 1982)), pp. 315-320, Lecture Notes in Math., 997, Springer, Berlin, 1983. MR 714755 (85f:14014) - [RR]
- S. Ramanan and A. Ramanathan, Some remarks on the instability flag, Tôhoku Math. Jour. 36 (1984), 269-291. MR 742599 (85j:14017)
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Additional Information:
Indranil
Biswas
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
Email:
indranil@math.tifr.res.in
DOI:
10.1090/S0002-9947-10-04984-6
PII:
S 0002-9947(10)04984-6
Keywords:
Tangent bundle,
stability,
Fano variety,
complete intersection
Received by editor(s):
April 28, 2008
Posted:
January 7, 2010
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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