O křivce zápalové
O některých křivkách z kuželosečky odvozených
O racionálných čárách v rovině
O rovinných racionálních křivkách třetího stupně. [I.]
O rovinných racionálních křivkách třetího stupně. [II.]
O rovinných racionálních křivkách třetího stupně. [III.]
O základních vlastnostech křivek podobných
Obstructions to deforming curves on a -fold, II: Deformations of degenerate curves on a del Pezzo -fold
We study the Hilbert scheme of smooth connected curves on a smooth del Pezzo -fold . We prove that any degenerate curve , i.e. any curve contained in a smooth hyperplane section of , does not deform to a non-degenerate curve if the following two conditions are satisfied: (i) and (ii) for every line on such that , the normal bundle is trivial (i.e. ). As a consequence, we prove an analogue (for ) of a conjecture of J. O. Kleppe, which is concerned with non-reduced components...
On a characterization of elliptic-hyperelliptic curves.
On a characterization of Shimura's elliptic curve over ℚ(√37)
On a class of partial -spreads of arising from scrolls.
On a class of rational cuspidal plane curves.
On a conjecture of H. Rauch on theta constants and Riemann surfaces with many automorphisms.
On a formula of Beniamino Segre.
On a Galois extension with restricted ramification related to the Selmer group of an elliptic curve with complex multiplication.
On a general difference Galois theory I
We know well difference Picard-Vessiot theory, Galois theory of linear difference equations. We propose a general Galois theory of difference equations that generalizes Picard-Vessiot theory. For every difference field extension of characteristic , we attach its Galois group, which is a group of coordinate transformation.
On a general difference Galois theory II
We apply the General Galois Theory of difference equations introduced in the first part to concrete examples. The General Galois Theory allows us to define a discrete dynamical system being infinitesimally solvable, which is a finer notion than being integrable. We determine all the infinitesimally solvable discrete dynamical systems on the compact Riemann surfaces.
On a lifting problem for principal Dedekind domains
On a local property of good frames in Thom-Boardman singularities
On a problem of Dvornicich and Zannier