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Minimal two spheres in Kähler-Einstein Fano manifolds |
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| Authors: | Claudio Arezzo |
| Institution: | a Dipartimento di Matematica, Universita’ di Parma, Via M. D'Azeglio, 85, 43100 Parma, Italy b Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street (Weaver 825), New York, NY 10012-1185, USA |
| Abstract: | In this paper we show the existence of stable symplectic non-holomorphic two-spheres in Kähler manifolds of positive constant scalar curvature of real dimension four and in Kähler-Einstein Fano manifolds of real dimension six. Some of the techniques used involve deformation theory of algebraic cycles. |
| Keywords: | 53C25 58E12 |
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