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• W3183424101 abstract "In this paper, we establish some modified defect relations for the Gauss map $g$ of a complete minimal surface $Ssubsetmathbb R^m$ into a $k$-dimension projective subvariety $Vsubsetmathbb P^n(mathbb C) (n=m-1)$ with hypersurfaces $Q_1,ldots,Q_q$ of $mathbb P^n(mathbb C)$ in $N$-subgeneral position with respect to $V (Nge k)$. In particular, we give the bound above for the number $q$ if the image $g(S)$ intersects a finite number of times each hypersurfaces $Q_1,ldots,Q_q$ and $g$ is nondegenerate over $I_d(V)$, where $d=lcm(deg Q_1,ldots,deg Q_q)$, i.e., the image of $g$ is not contained in any hypersurface $Q$ of degree $d$ with $Vnotsubset Q$. Our results extend and generalise previous results for the case of the Gauss map and hyperplanes in the projective spaces." @default.
• W3183424101 created "2021-08-02" @default.
• W3183424101 creator A5025520101 @default.
• W3183424101 date "2021-07-19" @default.
• W3183424101 modified "2023-09-27" @default.
• W3183424101 title "Modified defect relation for Gauss maps of minimal surfaces with hypersuraces of projective varieties in subgeneral position" @default.
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