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CASTELNUOVO-MUMFORD REGULARITY AND BRIDGELAND STABILITY OF POINTS IN THE PROJECTIVE PLANE

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posted on 28.06.2018 by I Coskun, D Hyeon, J Park
In this paper, we study the relation between Castelnuovo-Mumford regularity and Bridgeland stability for the Hilbert scheme of n points on P-2. For the largest [n/2] Bridgeland walls, we show that the general ideal sheaf destabilized along a smaller Bridgeland wall has smaller regularity than one destabilized along a larger Bridgeland wall. We give a detailed analysis of the case of monomial schemes and obtain a precise relation between the regularity and the Bridgeland stability for the case of Borel fixed ideals.

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Publisher Statement

First published in Notices Amer. Math. Soc. 63 (April 2016), published by the American Mathematical Society. © 2016 by [Coskun, I; Hyeon, D;Park, J].

Publisher

AMER MATHEMATICAL SOC

Language

en_US

issn

0002-9939

Issue date

01/11/2017

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