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Cohomological invariants of coherent sheaves over projective schemes: a survey


Brodmann, M (2002). Cohomological invariants of coherent sheaves over projective schemes: a survey. In: Lyubeznik, G. Local cohomology and its applications (Guanajuato, 1999). New York: Dekker, 91-120.

Abstract

We give a survey on certain results related to the cohomology
of projective schemes with coefficients in coherent sheaves. In particular we present results on cohomological patterns, cohomological Hilbert functions and cohomological Hilbert polynomials. Bounding results for Castelnuovo-Mumford regularities, Severi coregularities and cohomological postulation numbers are discussed. Moreover, a number of open questions is presented.

Abstract

We give a survey on certain results related to the cohomology
of projective schemes with coefficients in coherent sheaves. In particular we present results on cohomological patterns, cohomological Hilbert functions and cohomological Hilbert polynomials. Bounding results for Castelnuovo-Mumford regularities, Severi coregularities and cohomological postulation numbers are discussed. Moreover, a number of open questions is presented.

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Additional indexing

Other titles:Selected papers of the international workshop, Guanajuato, Mexico. New York, NY
Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2002
Deposited On:27 May 2010 15:50
Last Modified:05 Apr 2016 13:25
Publisher:Dekker
Series Name:Lecture Notes in Pure and Applied Mathematics
Number:226
ISSN:0075-8469
ISBN:0-8247-0741-9
Official URL:http://www.crcpress.com/product/isbn/9780824707415
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1058.14029

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