| Title:
|
Vanishing of sections of vector bundles on 0-dimensional schemes (English) |
| Author:
|
Ballico, E. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
40 |
| Issue:
|
3 |
| Year:
|
1999 |
| Pages:
|
403-411 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Here we give conditions and examples for the surjectivity or injectivity of the restriction map $H^0(X,F)\rightarrow H^0(Z,F\,|\, Z)$, where $X$ is a projective variety, $F$ is a vector bundle on $X$ and $Z$ is a ``general'' $0$-dimensional subscheme of $X$, $Z$ union of general ``fat points''. (English) |
| Keyword:
|
zero-dimensional scheme |
| Keyword:
|
cohomology |
| Keyword:
|
vector bundle |
| Keyword:
|
fat point |
| MSC:
|
14F05 |
| MSC:
|
14F17 |
| MSC:
|
14J60 |
| MSC:
|
14M05 |
| idZBL:
|
Zbl 1013.14006 |
| idMR:
|
MR1732494 |
| . |
| Date available:
|
2009-01-08T18:53:33Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119097 |
| . |
| Reference:
|
[AH] Alexander J., Hirschowitz A.: An asymptotic vanishing theorem for generic unions of multiple points.preprint alg-geom 9703037. Zbl 0973.14026, MR 1756998 |
| Reference:
|
[A] Atiyah M.F.: Vector bundles over an elliptic curve.Proc. London Math. Soc. (3) 7 (1957), 514-452; reprinted in: Michael Atiyah Collected Works, Vol. l, pp.105-143, Oxford Science Publications, Clarendon Press, Oxford, 1988. Zbl 0084.17305, MR 0131423 |
| Reference:
|
[G] Gimigliano A.: Our thin knowledge of fat points.in: Queen's Papers in Pure and Applied Mathematics, vol. 83, The Curves Seminar at Queen's, Vol. VI, 1989. Zbl 0743.14005, MR 1036032 |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[H2] Hirschowitz A.: Existence de faisceaux réflexifs de rang deux sur ${\bold P}^3$ à bonne cohomologie.Publ. Math. I.H.E.S. 66 (1988), 105-137. MR 0932136 |
| Reference:
|
[H3] Hirschowitz A.: Une conjecture pour la cohomologie des diviseurs sur les surfaces rationnelles génériques.J. reine angew. Math. 397 (1989), 208-213. MR 0993223 |
| Reference:
|
[I1] Iarrobino A.: Inverse systems of a symbolic power III: thin algebras and fat points.preprint, 1994. MR 1473851 |
| Reference:
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[I2] Iarrobino A.: Associated graded algebra of a Gorenstein Artin algebra.Mem. Amer. Math. Soc. 514, 1994. Zbl 0793.13010, MR 1184062 |
| Reference:
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[N] Neeman A.: Weierstrass points in characteristic $p$.Invent. Math. 75 (1984), 359-376. Zbl 0555.14009, MR 0732551 |
| Reference:
|
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| . |
