Some Homological Properties of Borel Type Ideals
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3
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Oberwolfach Preprints (OWP)
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Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
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Abstract
We study ideals of Borel type, including k-Borel ideals and t-spread Veronese ideals. We determine their free resolutions and their homological shift ideals. The multiplicity and the analytic spread of equigenerated squarefree principal Borel ideals are computed. For the multiplicity, the result is given under an additional assumption which is always satisfied for squarefree principal Borel ideals. These results are used to analyze the behaviour of height, multiplicity and analytic spread of the homological shift ideals HSj(I) as functions of j, when I is an equigenerated squarefree Borel ideal.
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Keywords GND
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This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.