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Pluriadjoint Bundles of Polarized Surfaces.

Antonio Lanteri — 1990

Monatshefte für Mathematik

Geometric genera for ample vector bundles with regular sections.

Antonio Lanteri — 2000

Revista Matemática Complutense

Let X be a smooth complex projective variety of dimension n ≥ 3. A notion of geometric genus p(X,E) for ample vector bundles E of rank r < n on X admitting some regular sections is introduced. The following inequality holds: p(X,E) ≥ h(X). The question of characterizing equality is discussed and the answer is given for E decomposable of corank 2. Some conjectures suggested by the result are formulated.

On the existence of scrolls in $\bf{P}^{4}$

Antonio Lanteri — 1980

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Si dimostra il seguente risultato. Sia $X$ una superficie proiettivamente rigata, non iperpiana, di $\bf{P}^{4}$ ; allora $X$ è la rigata cubica oppure è una rigata quintica ellittica. Si descrive inoltre una nuova generazione proiettiva delle rigate quintiche ellittiche di $\bf{P}^{4}$ .

Su un teorema di Chisini

Antonio Lanteri — 1979

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Two general multiple planes having the same branch curve cannot be too "different". As it is well known, a central result in the theory of multiple planes, first proved by Chisini in [3], asserts that two such multiple planes, with some additional hypothesis, are birational. In this paper we prove, with a different additional hypothesis, that two general multiple planes having the same branch curve are isomorphic. Let S be a complex projective non-singular algebraic surface, R a net on S, $\Phi:S\rightarrow\mathbf{P}^{2}$ the...

On the 2 and the 3-connectedness of ample divisors on a surface.

Antonio Lanteri; Mauro Beltrametti — 1987

Manuscripta mathematica

Erratum to "On the 2 and the 3-Connectedness of ample divisors on a surface".

Antonio Lanteri; Mauro Beltrametti — 1987

Manuscripta mathematica

About the adjunction process for polarized algebraic surfaces.

Antonio Lanteri; Marino Palleschi — 1984

Journal für die reine und angewandte Mathematik

Adjoint bundles of ample and spanned vector bundles on algebraic surfaces.

Antonio Lanteri; H. Maeda — 1992

Journal für die reine und angewandte Mathematik

On complex projective surfaces with trigonal hyperplane sections.

Antonio Lanteri; Sonia Brivio — 1989

Manuscripta mathematica

Characterizing Projective Bundles by Means of Ample Divisors.

Antonio Lanteri; Marino Palleschi — 1983

Manuscripta mathematica

Erratum to "On complex projective surfaces with trigonal hyperplane sections".

Antonio Lanteri; Sonia Brivio — 1990

Manuscripta mathematica

Geometrically ruled surfaces as zero loci of ample vector bundles.

Antonio Lanteri; Hidetoshi Maeda — 1997

Forum mathematicum

Ample and spanned vector bundles of sectional genera three.

Aldo Biancofiore; Antonio Lanteri — 1991

Mathematische Annalen

Adjunction properties of polarized surfaces via Reider's method.

Antonio Lanteri; Marino Palleschi — 1989

Mathematica Scandinavica

Projective 7-folds with positive defect

Antonio Lanteri; Daniele Struppa — 1987

Compositio Mathematica

Elliptic sufaces with a nef line bundle of genus two.

Antonio Lanteri; Cristina Turrini — 1998

Collectanea Mathematica

Complex projective elliptic surfaces endowed with a numerically effective line bundle of arithmetic genus two are studied and partially classified. A key role is played by elliptic quasi-bundles, where some ideas developed by Serrano in order to study ample line bundles apply to this more general situation.

A footnote to a paper by Noma

Antonio Lanteri; Francesco Russo — 1993

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let $E$ be a globally generated ample vector bundle of rank $\geq 2$ on a complex projective smooth surface $X$ . By extending a recent result by A. Noma, we classify pairs $(X, E)$ as above satisfying $c_{2} (E) = 2$ .

On the adjoint system to a very ample divisor on a surface and connected inequalities

Antonio Lanteri; Marino Palleschi — 1981

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si caratterizzano alcune classi di superfici in relazione all’indice di autointersezione dell'aggiunto ad un divisore molto ampio.

Some topological conditions for projective algebraic manifolds with degenerate dual varieties: connections with $\mathbf{P}$ -bundles

Antonio Lanteri; Daniele Struppa — 1984

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si illustrano alcune relazioni tra le varietà proiettive complesse con duale degenere, le varietà la cui topologia si riflette in quella della sezione iperpiana in misura maggiore dell'ordinario e le varietà fibrate in spazi lineari su di una curva.

On the adjoint system to a very ample divisor on a surface and connected inequalities

Antonio Lanteri; Marino Palleschi — 1981

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Siano: $S$ una superficie algebrica proiettiva complessa non singolare, $K$ un divisore canonico ed $H$ un divisore molto ampio su $S$ . Questo lavoro ha per oggetto lo studio dell'indice di autointersezione $(K+H)^{2}$ . Si dimostra, innanzitutto, la disuguaglianza $(K+H)^{2}\geq 0$ , nell'ipotesi che la superficie $S^{\prime}$ ottenuta immergendo $S$ mediante il sistema lineare completo $|H|$ non sia uno scroll. Questa disuguaglianza è connessa con alcuni risultati di Sommese e Van de Ven sulla generazione del fascio $\mathcal{O}_{s}(K+H)$ . La dimostrazione della (I)...

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Currently displaying 1 – 20 of 33

Pluriadjoint Bundles of Polarized Surfaces.

Geometric genera for ample vector bundles with regular sections.

On the existence of scrolls in $\bf{P}^{4}$

Su un teorema di Chisini

On the 2 and the 3-connectedness of ample divisors on a surface.

Erratum to "On the 2 and the 3-Connectedness of ample divisors on a surface".

About the adjunction process for polarized algebraic surfaces.

Adjoint bundles of ample and spanned vector bundles on algebraic surfaces.

On complex projective surfaces with trigonal hyperplane sections.

Characterizing Projective Bundles by Means of Ample Divisors.

Erratum to "On complex projective surfaces with trigonal hyperplane sections".

Geometrically ruled surfaces as zero loci of ample vector bundles.

Ample and spanned vector bundles of sectional genera three.

Adjunction properties of polarized surfaces via Reider's method.

Projective 7-folds with positive defect

Elliptic sufaces with a nef line bundle of genus two.

A footnote to a paper by Noma

On the adjoint system to a very ample divisor on a surface and connected inequalities

Some topological conditions for projective algebraic manifolds with degenerate dual varieties: connections with $\mathbf{P}$ -bundles

On the adjoint system to a very ample divisor on a surface and connected inequalities