Open Access
Subscription Access
Open Access
Subscription Access
Semi-stability of the Pullback of T๐ก2 on an Elliptic Curve
Subscribe/Renew Journal
We study semi-stability of the pullback of the tangent bundle T๐ก2 on an elliptic curve under the morphism given by a line bundle of degree less or equal to 4.
User
Subscription
Login to verify subscription
Font Size
Information
- Maria-Grazia Asenzi, The restricted tangent bundle of a rational curve in P2, Comm. Algebra, 16 no. 11, (1988) 2193โ2208.
- Maria-Grazia Asenzi, The restricted tangent bundle of a rational curve on a quadric in P3, Proc. Amer. Math. Soc., 98 no. 4, (1986) 561โ566.
- M. F. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc. (3), 7 (1957) 414โ452.
- A. ElMazouni, A. Laytimi and D. S. Nagaraj, Morphism from P2 to Gr(2,C4), J. Ramanujan Math. Soc., 26 no. 3, (2011) 321โ332.
- V. B. Mehta and A. Ramanathan, Semistable sheaves on projective varieties and their restriction to curves, Math. Ann., 258 no. 3, (1981/82) 213โ224.
- Alessandro Gimigliano, Brian Harbourne and Monica Idยดa, On plane rational curves and the splitting of the tangent bundle, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 12 no. 3, (2013) 587โ621.
- R. Hartshorne, Algebraic Geometry Springer-Verlag, New York-Heidelberg, Graduate Texts in Mathematics, No. 52 (1977).
- Indranil Biswas, Pierre-Emmanuel Chaput and Christophe Mourougane, Stability of restrictions of cotangent bundles of irreducible Hermitian symmetric spaces of compact type, available on https://arxiv.org/abs/1504.03853.
- Loring W. Tu, Semistable bundles over an elliptic curve, Adv. Math., 98 no. 1 (1993) 1โ26.
Abstract Views: 383
PDF Views: 0