BLOW-UP OF STRAIGHTENING-CLOSED IDEALS IN ORDINAL HODGE ALGEBRAS
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | BRUNS, W | |
dc.contributor.author | SIMIS, A | |
dc.contributor.author | TRUNG, NV | |
dc.date.accessioned | 2021-12-23T16:14:20Z | - |
dc.date.available | 2021-12-23T16:14:20Z | - |
dc.date.issued | 1991 | |
dc.identifier.issn | 00029947 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/11023 | - |
dc.description.abstract | We study a class of ideals I in graded ordinal Hodge algebras A. These ideals are distinguished by the fact that their powers have a canonical standard basis. This leads to Hodge algebra structures on the Rees ring and the associated graded ring. Furthermore, from a natural standard filtration one obtains a depth bound for A/I(n) which, under certain conditions, is sharp for n large. Frequently one observes that I(n) = I(n). Under suitable hypotheses it is possible to calculate the divisor class group of the Rees algebra. Our main examples are ideals of ``virtual'' maximal minors and ideals of maximal minors ``fixing a submatrix''. | |
dc.language.iso | en | |
dc.publisher | AMER MATHEMATICAL SOC | |
dc.relation.ispartof | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | |
dc.subject | ARITHMETICAL RANK | |
dc.subject | ASSOCIATED GRADED RING | |
dc.subject | COHEN-MACAULAY | |
dc.subject | DIVISOR CLASS GROUP | |
dc.subject | FILTRATION OF POWERS | |
dc.subject | GENERIC MATRIX | |
dc.subject | GORENSTEIN | |
dc.subject | Mathematics | |
dc.subject | NORMAL | |
dc.subject | ORDINAL HODGE ALGEBRAS | |
dc.subject | RANK | |
dc.subject | REES ALGEBRA | |
dc.subject | STANDARD MONOMIAL | |
dc.subject | STRAIGHTENING-CLOSED IDEAL | |
dc.subject | VIRTUAL MAXIMAL MINOR | |
dc.title | BLOW-UP OF STRAIGHTENING-CLOSED IDEALS IN ORDINAL HODGE ALGEBRAS | |
dc.type | journal article | |
dc.identifier.doi | 10.2307/2001771 | |
dc.identifier.isi | ISI:A1991GD99600003 | |
dc.description.volume | 326 | |
dc.description.issue | 2 | |
dc.description.startpage | 507 | |
dc.description.endpage | 528 | |
dc.publisher.place | 201 CHARLES ST, PROVIDENCE, RI 02940-2213 | |
dcterms.isPartOf.abbreviation | Trans. Am. Math. Soc. | |
dcterms.oaStatus | Bronze | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrWi827 | - |
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geprüft am 05.05.2024