Una proprietà di P n ⁢ — ⁢ Y

Massimo Lorenzani

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1982)

  • Volume: 73, Issue: 5, page 116-121
  • ISSN: 1120-6330

Abstract

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Let Y be an 5 dimensional closed subscheme of P n ⁢ — ⁢ Y and p ⁢ ( P n ⁢ — ⁢ Y ) the largest integer p such that H i ⁢ ( P n ⁢ — ⁢ Y , L ) is finite dimensional for all i < p and for all locally free sheaves L on P n ⁢ — ⁢ Y . If we introduce the same integer p ⁢ ( P n ⁢ — ⁢ Y a ) in the complex case, i.e. when L runs through the set of all locally free analytic sheaves on P n ⁢ — ⁢ Y a , we show that p ⁢ ( P n ⁢ — ⁢ Y a ) = n ⁢ — ⁢ s ⁢ — ⁢ 1 if p ⁢ ( P n ⁢ — ⁢ Y ) = n ⁢ — ⁢ s ⁢ — ⁢ 1 .

How to cite

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Lorenzani, Massimo. "Una proprietà di $P^{n} — Y$." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 73.5 (1982): 116-121. <http://eudml.org/doc/287359>.

@article{Lorenzani1982,
author = {Lorenzani, Massimo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Hartshorne conjecture; local cohomological dimension; cohomology of complement of subscheme of projective space},
language = {ita},
month = {11},
number = {5},
pages = {116-121},
publisher = {Accademia Nazionale dei Lincei},
title = {Una proprietà di $P^\{n\} — Y$},
url = {http://eudml.org/doc/287359},
volume = {73},
year = {1982},
}

TY - JOUR
AU - Lorenzani, Massimo
TI - Una proprietà di $P^{n} — Y$
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1982/11//
PB - Accademia Nazionale dei Lincei
VL - 73
IS - 5
SP - 116
EP - 121
LA - ita
KW - Hartshorne conjecture; local cohomological dimension; cohomology of complement of subscheme of projective space
UR - http://eudml.org/doc/287359
ER -

References

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  8. Lorenzani, M. e Maschietti, A. (1976) - Quelques remarques sur la cohérence des faisceaux de cohomologie locale, «C. R. Acad. Sc. Paris», 283, 783-785. Zbl0348.14006MR422258
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