Segre numbers, a generalized King formula , and local intersections
| hal.structure.identifier | Department of Mathematical Sciences | |
| dc.contributor.author | ANDERSSON, Mats | |
| hal.structure.identifier | Department of Mathematical Sciences | |
| dc.contributor.author | SAMUELSSON, Hakan | |
| hal.structure.identifier | Department of Mathematics | |
| dc.contributor.author | WULCAN, Elizabeth | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | YGER, Alain | |
| dc.date.accessioned | 2024-04-04T03:21:32Z | |
| dc.date.available | 2024-04-04T03:21:32Z | |
| dc.date.created | 2015 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194665 | |
| dc.description.abstractEn | Let $J$ be an ideal sheaf on a reduced analytic space $X$ with zero set $Z$. We show that the Lelong numbers of the restrictions to $Z$ of certain generalized Monge-Amp ere products ($dd^c log |f|^2)^k$, where $f$ is a tuple of generators of $J$ , coincide with the so-called Segre numbers of $J$ , introduced independently by Tworzewski and Ga ffney-Gassler. More generally we show that these currents satisfya generalization of the classical King formula that takes into account fixed andmoving components of Vogel cycles associated with $J$ . A basic tool is a new calculusfor products of positive currents of Bochner-Martinelli type. We also discussconnections to intersection theory. | |
| dc.language.iso | en | |
| dc.title.en | Segre numbers, a generalized King formula , and local intersections | |
| dc.type | Document de travail - Pré-publication | |
| dc.identifier.doi | 10.1515/crelle-2014-0109 | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-01026124 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01026124v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ANDERSSON,%20Mats&SAMUELSSON,%20Hakan&WULCAN,%20Elizabeth&YGER,%20Alain&rft.genre=preprint |
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