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On the existence of n-dimensional indecomposable vector bundles

Technical Report:

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Abstract

Let X be an arbitrary smooth irreducible complex projective curve of genus g with g {>=} 4. In this paper we extend the existence theorem of special divisors to high dimensional indecomposable vector bundles. We give a necessary and sufficient condition on the existence of n-dimensional indecomposable vector bundles E with deg(E) = d, dimH{sup 0}(X,E) {>=} h. We also determine under what condition the set of all such vector bundles will be finite and how many elements it contains. (author). 9 refs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/225
Reference Number:
SCA: 661300; PA: AIX-23:015350; SN: 92000647067
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; VECTORS; IRREDUCIBLE REPRESENTATIONS; MATHEMATICAL SPACE; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10113325
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92615230; TRN: XA9130247015350
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
22 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Xiaojiang, Tan. On the existence of n-dimensional indecomposable vector bundles. IAEA: N. p., 1991. Web.
Xiaojiang, Tan. On the existence of n-dimensional indecomposable vector bundles. IAEA.
Xiaojiang, Tan. 1991. "On the existence of n-dimensional indecomposable vector bundles." IAEA.
@misc{etde_10113325,
title = {On the existence of n-dimensional indecomposable vector bundles}
 author = {Xiaojiang, Tan}
 abstractNote = {Let X be an arbitrary smooth irreducible complex projective curve of genus g with g {>=} 4. In this paper we extend the existence theorem of special divisors to high dimensional indecomposable vector bundles. We give a necessary and sufficient condition on the existence of n-dimensional indecomposable vector bundles E with deg(E) = d, dimH{sup 0}(X,E) {>=} h. We also determine under what condition the set of all such vector bundles will be finite and how many elements it contains. (author). 9 refs.}
 place = {IAEA}
 year = {1991}
 month = {Sep}
 }