Embedded complex curves in the affine plane

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Embedded complex curves in the affine plane

Alarcón, Antonio ; Forstnerič, Franc, 1958-

V članku je prikazana vrsta novih rezultatov s področja klasične domneve Forster-Bell-Narasimhan in Yangovega problema o obstoju pravih, skoraj pravih in kompletnih injektivnih holomorfnih imerzij ... odprtih Riemannovih ploskev v afino kompleksno ravnino ▫${\mathbb C}^2$▫, ki zadočajo aproksimacijskim ter interpolacijskim zahtevam. Dokazano je tudi, da vsaka kompaktna Riemannova ploskev vsebuje Cantorjevo množico, katere komplement dopušča pravo holomorrfno vložitev v afino kompleksno ravnino, in da vsaka povezana domena v ▫${\mathbb C}^2$▫ vsebuje kompleten injektivno imerziran disk s povsod gosto zalogo vrednosti.

Source: Annali di matematica pura ed applicata. - ISSN 0373-3114 (Vol. 203, iss. 4, Aug. 2024, str. 1673-1701)

Type of material - article, component part ; adult, serious

Publish date - 2024

Language - english

COBISS.SI-ID - 182950147

Link(s):
https://link.springer.com/article/10.1007/s10231-023-01418-8
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Author
Alarcón, Antonio | Forstnerič, Franc, 1958-

Author	Alarcón, Antonio ; Forstnerič, Franc, 1958-
Title	Embedded complex curves in the affine plane
Publication date	2024-08-01
COBISS.SI-ID	182950147
Publication version in repository	Publisher's version
Publication licence	Creative Commons Attribution 4.0 International
Embargo	Immediate publication for public

Project(s) from which the publication was funded

Title	Acronym	Project ID	Funder
Holomorphic Partial Differential Relations	HPDR	101053085	European Commission
Analiza in geometrija		P1-0291-2022	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Kompleksna in geometrijska analiza		J1-3005-2021	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Holomorfne parcialne diferencialne relacije		N1-0237-2022	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije

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Link
https://link.springer.com/article/10.1007/s10231-023-01418-8

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source: Annali di matematica pura ed applicata. - ISSN 0373-3114 (Vol. 203, iss. 4, Aug. 2024, str. 1673-1701)

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Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Alarcón, Antonio
Forstnerič, Franc, 1958-	09990

Source: Personal bibliographies and: SICRIS

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