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Full-Text Articles in Physical Sciences and Mathematics
On A Theorem Of Peters On Automorphisms Of Kahler Surfaces, Weimin Chen Chen
On A Theorem Of Peters On Automorphisms Of Kahler Surfaces, Weimin Chen Chen
Weimin Chen
For any K¨ahler surface which admits no nonzero holomorphic vectorfields, we consider the group of holomorphic automorphisms which induce identity on the second rational cohomology. Assuming the canonical linear system is without base points and fixed components, C.A.M. Peters [12] showed that this group is trivial except when the K¨ahler surface is of general type and either c21 = 2c2 or c21 = 3c2 holds. Moreover, this group is a 2-group in the former case, and is a 3-group in the latter. The purpose of this note is to give further information about this group. In particular, we show that …
Orbifold Adjunction Formula And Sympletic Corbordisms Between Lens Spaces, Weimin Chen Chen
Orbifold Adjunction Formula And Sympletic Corbordisms Between Lens Spaces, Weimin Chen Chen
Weimin Chen
Each lens space has a canonical contact structure which lifts to the distribution of complex lines on the three-sphere. In this paper, we show that a symplectic homology cobordism between two lens spaces, which is given with the canonical contact structure on the boundary, must be diffeomorphic to the product of a lens space with the unit interval. As one of the main ingredients in the proof, we also derive in this paper the adjunction and intersection formulae for pseudoholomorphic curves in an almost complex 4–orbifold, extending the relevant work of Gromov and McDuff in the manifold setting.