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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 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 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 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, Φ : S 𝐏 2 the...

Elliptic sufaces with a nef line bundle of genus two.

Antonio LanteriCristina 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 LanteriFrancesco 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 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 .

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