Analytic Continuation of Holomorphic Mappings from Nonminimal Hypersurfaces I. KossovskiyRasul Shafikov 32D1532V4032H0232H3532M9932T2534M35Analytic continuationholomorphic mappingsreal hypersurfacesnonminimal hypersurfacesSegre varietiesautomorphism groups We study the analytic continuation problem for a germ of a biholomorphic mapping from a nonminimal real hypersurface $M\subset\mathbb{C}^n$ into a real hyperquadric $\mathcal{Q}\subset\mathbb{CP}^n$, and we prove that, under certain nondegeneracy conditions, any such germ extends locally biholomorphically along any path lying in the complement $U\setminus X$ of the complex hypersurface $X$ contained in $M$ for an appropriate neighbourhood $U\supset X$. Using the monodromy representation for the multiple-valued mapping obtained by the analytic continuation, we establish a connection between nonminimal real hypersurfaces and singular complex ODEs. Indiana University Mathematics Journal 2013 text pdf 10.1512/iumj.2013.62.5184 10.1512/iumj.2013.62.5184 en Indiana Univ. Math. J. 62 (2013) 1891 - 1916 state-of-the-art mathematics http://iumj.org/access/