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Strongly pseudoconvex domains as subvarieties of complex manifoldsDrinovec-Drnovšek, Barbara ; Forstnerič, Franc, 1958-V članku dokažemo eksistenčne in aproksimacijske rezultate za zaprte kompleksne podmnožice, ki so normalizirane s strogo psevdokonveksnimi Steinovimi območji. Potreben pogoj za obstoj takih podmnožic ... v kompleksni mnogoterosti ▫$X$▫ je izražen z Morsovimi indeksi in številom pozitivnih lastnih vrednosti Levijeve forme funkcije izčrpanja na ▫$X$▫. S primeri pokažemo, da pogojev v splošnem ne moremo omiliti. Dobimo optimalne rezultate za analitične podmnožice te oblike v komplementih kompaktnih kompleksnih podmnogoterosti z Griffiths pozitivnim normalnim svežnjem. V projektivnem primeru ti rezultati posplošijo klasične izreke Remmerta, Bishopa in Narasimhana o pravih holomorfnih preslikavah in vložitvah v ▫${\Bbb C}^n = {\Bbb P}^n \setminus {\BbbP}^{n-1}$▫.Source: American journal of mathematics. - ISSN 0002-9327 (Vol. 132, no. 2, 2010, str. 331-360)Type of material - article, component partPublish date - 2010Language - englishCOBISS.SI-ID - 15549529
Author
Drinovec-Drnovšek, Barbara |
Forstnerič, Franc, 1958-
Topics
matematika |
kompleksna analiza |
analitična podmnožica |
holomorfna preslikava |
kompleksna mnogoterost |
psevdokonveksno območje |
projektivni prostor |
mathematics |
complex analysis |
holomorphic mapping |
analytic subset |
complex manifold |
pseudoconvex domain |
projective space
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Database name | Field | Year |
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Drinovec-Drnovšek, Barbara | 15126 |
Forstnerič, Franc, 1958- | 09990 |
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