Nouvelles courbes de bon genre dans l'espace projectif.
Null Class Groups of Algebraic Function Fields.
Number of moduli of ireducible families of plane curves with nodes and cusps.
Number of singular points of an annulus in
Using BMY inequality and a Milnor number bound we prove that any algebraic annulus in with no self-intersections can have at most three cuspidal singularities.
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.