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- W4310562012 abstract "In this paper, we investigate the Seshadri constant $varepsilon(X,T_X;p)$ of the tangent sheaf $T_X$ on a complete $mathbb Q$-factorial toric variety $X$. We show that $varepsilon(X,T_X;1)>0$ if and only if the following statement holds true: if $a_1v_1+cdots +a_kv_k=0$ where $a_i$'s are positive real numbers and $v_i$'s are primitive generators of some rays in the fan $Delta$ that defines $X$, then $kgeq dim X+1$. Based on the result, we show that a smooth projective toric variety $X$ with $varepsilon(X,T_X;p)>0$ for some $pin X$ is isomorphic to the projective space, confirming a special case of the conjecture proposed by M. Fulger and T. Murayama." @default.
- W4310562012 created "2022-12-12" @default.
- W4310562012 creator A5062404217 @default.
- W4310562012 date "2022-11-30" @default.
- W4310562012 modified "2023-09-26" @default.
- W4310562012 title "The Seshadri Constants of Tangent Sheaves on Toric Varieties" @default.
- W4310562012 doi "https://doi.org/10.48550/arxiv.2211.17172" @default.
- W4310562012 hasPublicationYear "2022" @default.
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