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Automorphism groups and elliptic complex geometry : doctoral dissertationUgolini, Riccardo, 1991-Disertacija vsebuje predstavitev originalnih rezultatov avtorjevega raziskovalnega dela, dobljenih tekom doktorskega študija. Prvi dve poglavji sta uvodne narave in vsebujeta povzetek nekaterih ... splošnih pojmov iz teorije Steinovih mnogoterosti ter podroben prikaz teorije Andersén-Lempert, ki obravnava holomorfne avtomorfizme kompleksnih evklidskih prostorov ter sorodnih kompleksnih mnogoterosti z veliko grupo holomorfnih avtomorfizmov. Tretje poglavje vsebuje avtorjeve originalne rezultate o interpolaciji neizrojenih brstičev holomorfnih preslikav z družinami holomorfnih avtomorfizmov, ki so holomorfno odvisni od parametra v neki Steinovi mnogoterosti. V četrtem poglavju obravnavamo tehnično zahtevne posplošitve omenjenih interpolacijskih rezultatov za avtomorfizme Steinovih mnogoterosti z Varolinovo lastnostjo gostote. Peto poglavje je posvečeno vpeljavi in obravnavi novega pojma (strogo) pohlevnih diskretnih množic v Steinovih mnogoterostih z lastnostjo gostote. Uvodoma pokažemo, da se na kompleksnih evklidskih prostorih novo vpeljani pojem ujema s klasičnim pojmom pohlevnih diskretnih množic, ki sta jih obravnala Rosay in Rudin leta 1988. V disertaciji se osredotočimo predvsem na pohlevne množice v linearnih algebraičnih kompleksnih Liejevih grupah ter na delovanja kompletnih holomorfnih vektorskih polj na njih. Posebnega pomena je študij kolobarjev invariantnih funkcij takih vektorskih polj. V zadnjem šestem poglavju predstavimo in diskutiramo vrsto odprtih problemov, ki so se porodili tekom naših raziskav, ter nakažemo nekaj možnih smeri razvoja nadaljnjih raziskav na tem področju.Type of material - dissertation ; adult, seriousPublication and manufacture - Ljubljana : [R. Ugolini], 2019Language - englishCOBISS.SI-ID - 18808921
Link(s):
Repository of the University of Ljubljana – RUL
Digitalna knjižnica Slovenije - dLib.siDostop z namenskih računalnikov v prostorih NUK
Author
Ugolini, Riccardo, 1991-
Other authors
Forstnerič, Franc, 1958-
Topics
matematika |
kompleksna geometrija |
holomorfni avtomorfizem |
brstiči |
interpolacija |
pohlevna množica |
mathematics |
complex geometry |
holomorphic automorphism |
jet interpolation |
tame set
Library/institution |
City | Acronym | For loan | Other holdings |
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
reading room 1 cop.
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National and University Library, Ljubljana | Ljubljana | NUK |
reading room 1 cop.
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not for loan 1 cop.
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DRS, in which the journal is indexed
Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Ugolini, Riccardo, 1991- | 38173 |
Forstnerič, Franc, 1958- | 09990 |
Source: Personal bibliographies
and: SICRIS
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