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We study the Hilbert scheme ${Hilb}^{s c} V$ of smooth connected curves on a smooth del Pezzo $3$ -fold $V$ . We prove that any degenerate curve $C$ , i.e. any curve $C$ contained in a smooth hyperplane section $S$ of $V$ , does not deform to a non-degenerate curve if the following two conditions are satisfied: (i) $χ (V, ℐ_{C} (S)) \geq 1$ and (ii) for every line $ℓ$ on $S$ such that $ℓ \cap C = \emptyset$ , the normal bundle $N_{ℓ / V}$ is trivial (i.e. $N_{ℓ / V} ≃ {𝒪_{ℙ^{1}}}^{\oplus 2}$ ). As a consequence, we prove an analogue (for ${Hilb}^{s c} V$ ) of a conjecture of J. O. Kleppe, which is concerned with non-reduced components...

On a characterization of elliptic-hyperelliptic curves.

Andrea del Centina, Sevin Recillas (1987)

Journal für die reine und angewandte Mathematik

On a characterization of Shimura's elliptic curve over ℚ(√37)

Masanari Kida (1996)

Acta Arithmetica

On a class of partial $t$ -spreads of $P G (n, q)$ arising from scrolls.

Ballico, E., Cossidente, A. (2000)

Mathematica Pannonica

On a class of rational cuspidal plane curves.

Hubert Flenner, Mikhail Zaidenberg (1996)

Manuscripta mathematica

On a conjecture of H. Rauch on theta constants and Riemann surfaces with many automorphisms.

H. Popp (1972)

Journal für die reine und angewandte Mathematik

On a formula of Beniamino Segre.

Kunz, Ernst (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

On a Galois extension with restricted ramification related to the Selmer group of an elliptic curve with complex multiplication.

Kay Wingberg (1991)

Journal für die reine und angewandte Mathematik

On a general difference Galois theory I

Shuji Morikawa (2009)

Annales de l’institut Fourier

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 $0$ , we attach its Galois group, which is a group of coordinate transformation.

On a general difference Galois theory II

Shuji Morikawa, Hiroshi Umemura (2009)

Annales de l’institut Fourier

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.

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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 $3$ -fold, II: Deformations of degenerate curves on a del Pezzo $3$ -fold

On a characterization of elliptic-hyperelliptic curves.

On a characterization of Shimura's elliptic curve over ℚ(√37)

On a class of partial $t$ -spreads of $P G (n, q)$ 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

On a general difference Galois theory II

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

Currently displaying 1 – 20 of 305