A footnote to a paper by Noma

Antonio Lanteri; Francesco Russo

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1993)

  • Volume: 4, Issue: 2, page 131-132
  • ISSN: 1120-6330

Abstract

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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 .

How to cite

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Lanteri, Antonio, and Russo, Francesco. "A footnote to a paper by Noma." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 4.2 (1993): 131-132. <http://eudml.org/doc/244202>.

@article{Lanteri1993,
abstract = {Let \( E \) be a globally generated ample vector bundle of rank \( \ge 2 \) on a complex projective smooth surface \( X \). By extending a recent result by A. Noma, we classify pairs \( (X, E) \) as above satisfying \( c\_\{2\}(E) = 2 \).},
author = {Lanteri, Antonio, Russo, Francesco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Algebraic surfaces (complex, projective); Vector bundles (ample); Classification; Chern class; rank-2 vector bundles; classification},
language = {eng},
month = {6},
number = {2},
pages = {131-132},
publisher = {Accademia Nazionale dei Lincei},
title = {A footnote to a paper by Noma},
url = {http://eudml.org/doc/244202},
volume = {4},
year = {1993},
}

TY - JOUR
AU - Lanteri, Antonio
AU - Russo, Francesco
TI - A footnote to a paper by Noma
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1993/6//
PB - Accademia Nazionale dei Lincei
VL - 4
IS - 2
SP - 131
EP - 132
AB - Let \( E \) be a globally generated ample vector bundle of rank \( \ge 2 \) on a complex projective smooth surface \( X \). By extending a recent result by A. Noma, we classify pairs \( (X, E) \) as above satisfying \( c_{2}(E) = 2 \).
LA - eng
KW - Algebraic surfaces (complex, projective); Vector bundles (ample); Classification; Chern class; rank-2 vector bundles; classification
UR - http://eudml.org/doc/244202
ER -

References

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  1. BALLICO, E. - LANTERI, A., Ample and spanned rank-2 vector bundles with c 2 = 2 on complex surfaces. Arch. Math., 56, 1991, 611-615. Zbl0693.14006MR1106503DOI10.1007/BF01246777
  2. BIANCOFIORE, A. - FANIA, M. L. - LANTERI, A., Polarized surfaces with hyperelliptic sections. Pac. J. Math., 143, 1990, 9-24. Zbl0733.14018MR1047397
  3. BIANCOFIORE, A. - LANTERI, A. - LIVORNI, E. L., Ample and spanned vector bundles of sectional genera three. Math. Ann., 291, 1991, 87-101. Zbl0723.14008MR1125009DOI10.1007/BF01445192
  4. NOMA, A., Classification of rank-2 ample and spanned vector bundles on surfaces whose zero loci consist of general points. Trans. Amer. Math. Soc., to appear. Zbl0802.14006MR1181186DOI10.2307/2154657
  5. OKONEK, CH. - SCHNEIDER, M. - SPINDLER, H., Vector bundles on Complex Projective Spaces. Progress in Math., 3, Birkhäuser, Basel-Boston1980. Zbl0438.32016MR561910

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