On the Holomorphy on Certain Non-Abelian L-Series.
On the homogeneous ideal of the generic union of lines in ...3.ö
On the homotopy of the complement to plane algebraic curves.
On the Hurwitz scheme and its monodromy
On the hypersurfaces containing a general projective curve
On the inseparable degrees of the Gauss map and the projection of the conormal variety to the dual fo higher order for space curves.
On the Invariants of Base Changes of Pencils of Curves, I.
On the invariants of base changes of pencils of curves, II.
On the Irreducibility of the Moduli Space of Curves. Appendix to the Paper of Harris and Mumford.
On the Iwasawa theory of CM elliptic curves at supersingular primes
On the Jacobian conjecture and the configurations of roots.
On the jacobian variety of some algebraic curves
On the Kodaira Dimension of the Moduli Space of Curves.
On the Kodaira dimension of the moduli space of curves, II. The even-genus case.
On the length of a extremal rational curve.
On the Lüroth Semigroup of curves lying on a smooth quadric.
On the Łojasiewicz exponent at infinity for polynomial mappings of ℂ² into ℂ² and components of polynomial automorphisms of ℂ²
A complete characterization of the Łojasiewicz exponent at infinity for polynomial mappings of ℂ² into ℂ² is given. Moreover, a characterization of a component of a polynomial automorphism of ℂ² (in terms of the Łojasiewicz exponent at infinity) is given.
On the main cojecture of Iwasawa theory for imaginary quadratic fields.
On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions
In this paper, we show that if and are algebraic real hypersurfaces in (possibly different) complex spaces of dimension at least two and if is a holomorphic mapping defined near a neighborhood of so that , then is also algebraic. Our proof is based on a careful analysis on the invariant varieties and reduces to the consideration of many cases. After a slight modification, the argument is also used to prove a reflection principle, which allows our main result to be stated for mappings...
On the mappings of elliptic curves defined over into .