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Hilbert series and obstructions to asymptotic semistability |
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| Authors: | Akito Futaki Hajime Ono Yuji Sano |
| Institution: | aDepartment of Mathematics, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro, Tokyo 152-8551, Japan;bDepartment of Mathematics, Faculty of Science and Technology, Tokyo University of Science, 2641 Yamazaki, Noda, Chiba 278-8510, Japan;cDepartment of Mathematics, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka-city, Fukuoka 819-0395, Japan |
| Abstract: | Given a polarized manifold there are obstructions for asymptotic Chow semistability described as integral invariants which can be regarded as characters of the Lie algebra of holomorphic vector fields. In this paper we show that, on toric Fano manifolds, the linear span of those Lie algebra characters coincides with the derivatives of the Laurent series of the Hilbert series. |
| Keywords: | MSC: primary 53C55 secondary 53C21 55N91 |
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