2013/12/19 by Joël Merker, Joel Merker, Merker, Joel
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions #math.AG #math.CV
paper · pdf · doi:10.48550/arxiv.1312.5688
31 pages (in French)
arxiv created 2013/12/19 · openalex publication_date 2013/12/19 · arxiv updated 2013/12/20 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28
On a generic complete intersection surface X2 in P4(C) having polynomial equations zd = R(x,y) and te = S(x,y) with 752 <= d <= e <= d2/648, there exist extrinsic meromorphic jet differentials of the form J(x,y,x',y') / [yd zm(d-1) tm(e-1)] where J(x,y,x',y') = sumj+k+p+q=m Aj,k,p,q(x,y) (x')j (y')k (R')p (S')q (R)m-p (S)m-q with the complex coefficients of the polynomials Aj,k,p,q(x,y) satisfying a certain system of linear equations depending explicitly on R, S, the restriction to X2 of which provides nonzero intrinsic global holomorphic sections of the bundle of symmetric m-differentials Symm TX^*.