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Register a new userAn extension of Fujitas non extendability theorem for Grassmannians
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In this paper we study smooth complex projective varieties $X$ containing a Grassmannian of lines $G(1,r)$ which appears as the zero locus of a section of a rank two nef vector bundle $E$. Among other things we prove that the bundle $E$ cannot be ample.
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We prove Fujitas freeness conjecture for Gorenstein complexity-one $T$-varieties with rational singularities.
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