Entire holomorphic curves into ℙⁿ(ℂ) intersecting n + 1 general hypersurfaces

Let {Di}i=1n+1 be n + 1 hypersurfaces in ℙⁿ(ℂ) with total degrees ∑i=1n+1degDi⩾n+2, in general position and satisfying a generic geometric condition: every n hypersurfaces intersect only at smooth points, and their intersections are transversal. For every algebraically nondegenerate entire holomorphic curve f: ℂ → ℙⁿ(ℂ), we establish a Second Main Theorem: (Formula presented.) expressed as a defect inequality in Nevanlinna theory. This result provides the first example in the literature of a Second Main Theorem for n + 1 general hypersurfaces in ℙⁿ(ℂ) with optimal total degrees.