Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950301623> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2950301623 abstract "By the fundamental result of I.I. Piatetsky-Shapiro and I.R. Shafarevich (1971), the automorphism group Aut(X) of a K3 surface X over C and its action on the Picard lattice S_X are prescribed by the Picard lattice S_X. We use this result and our method (1980) to show finiteness of the set of Picard lattices S_X of rank $ge 3$ such that the automorphism group Aut(X) of the K3 surface X has a non-trivial invariant sublattice S_0 in S_X where the group Aut(X) acts as a finite group. For hyperbolic and parabolic lattices S_0 it has been proved by the author before (1980, 1995). Thus we extend this results to negative sublattices S_0. We give several examples of Picard lattices S_X with parabolic and negative S_0. We also formulate the corresponding finiteness result for reflective hyperbolic lattices of hyperbolic type over purely real algebraic number fields. These results are important for the theory of Lorentzian Kac--Moody algebras and Mirror Symmetry." @default.
- W2950301623 created "2019-06-27" @default.
- W2950301623 creator A5063293767 @default.
- W2950301623 date "1997-01-24" @default.
- W2950301623 modified "2023-09-27" @default.
- W2950301623 title "K3 surfaces with interesting groups of automorphisms" @default.
- W2950301623 cites W1642345761 @default.
- W2950301623 cites W1658299091 @default.
- W2950301623 cites W1985495577 @default.
- W2950301623 cites W2007243625 @default.
- W2950301623 cites W2016586504 @default.
- W2950301623 cites W2018610141 @default.
- W2950301623 cites W2031396300 @default.
- W2950301623 cites W2037216480 @default.
- W2950301623 cites W2041808553 @default.
- W2950301623 cites W2059958099 @default.
- W2950301623 cites W2062562718 @default.
- W2950301623 cites W2067873933 @default.
- W2950301623 cites W2082239038 @default.
- W2950301623 cites W2084092789 @default.
- W2950301623 cites W2084215471 @default.
- W2950301623 cites W2092996613 @default.
- W2950301623 cites W2962927954 @default.
- W2950301623 cites W2963100753 @default.
- W2950301623 cites W3212292137 @default.
- W2950301623 hasPublicationYear "1997" @default.
- W2950301623 type Work @default.
- W2950301623 sameAs 2950301623 @default.
- W2950301623 citedByCount "0" @default.
- W2950301623 crossrefType "posted-content" @default.
- W2950301623 hasAuthorship W2950301623A5063293767 @default.
- W2950301623 hasConcept C114614502 @default.
- W2950301623 hasConcept C118712358 @default.
- W2950301623 hasConcept C121332964 @default.
- W2950301623 hasConcept C124453015 @default.
- W2950301623 hasConcept C134306372 @default.
- W2950301623 hasConcept C164226766 @default.
- W2950301623 hasConcept C190470478 @default.
- W2950301623 hasConcept C202444582 @default.
- W2950301623 hasConcept C24890656 @default.
- W2950301623 hasConcept C2777283802 @default.
- W2950301623 hasConcept C2781204021 @default.
- W2950301623 hasConcept C2781311116 @default.
- W2950301623 hasConcept C2988750069 @default.
- W2950301623 hasConcept C33923547 @default.
- W2950301623 hasConcept C37914503 @default.
- W2950301623 hasConcept C62520636 @default.
- W2950301623 hasConcept C9376300 @default.
- W2950301623 hasConceptScore W2950301623C114614502 @default.
- W2950301623 hasConceptScore W2950301623C118712358 @default.
- W2950301623 hasConceptScore W2950301623C121332964 @default.
- W2950301623 hasConceptScore W2950301623C124453015 @default.
- W2950301623 hasConceptScore W2950301623C134306372 @default.
- W2950301623 hasConceptScore W2950301623C164226766 @default.
- W2950301623 hasConceptScore W2950301623C190470478 @default.
- W2950301623 hasConceptScore W2950301623C202444582 @default.
- W2950301623 hasConceptScore W2950301623C24890656 @default.
- W2950301623 hasConceptScore W2950301623C2777283802 @default.
- W2950301623 hasConceptScore W2950301623C2781204021 @default.
- W2950301623 hasConceptScore W2950301623C2781311116 @default.
- W2950301623 hasConceptScore W2950301623C2988750069 @default.
- W2950301623 hasConceptScore W2950301623C33923547 @default.
- W2950301623 hasConceptScore W2950301623C37914503 @default.
- W2950301623 hasConceptScore W2950301623C62520636 @default.
- W2950301623 hasConceptScore W2950301623C9376300 @default.
- W2950301623 hasLocation W29503016231 @default.
- W2950301623 hasOpenAccess W2950301623 @default.
- W2950301623 hasPrimaryLocation W29503016231 @default.
- W2950301623 hasRelatedWork W1621037107 @default.
- W2950301623 hasRelatedWork W1756493939 @default.
- W2950301623 hasRelatedWork W1982280510 @default.
- W2950301623 hasRelatedWork W1993735189 @default.
- W2950301623 hasRelatedWork W2030065665 @default.
- W2950301623 hasRelatedWork W2079900378 @default.
- W2950301623 hasRelatedWork W2276804772 @default.
- W2950301623 hasRelatedWork W2316543989 @default.
- W2950301623 hasRelatedWork W2340197390 @default.
- W2950301623 hasRelatedWork W2808501844 @default.
- W2950301623 hasRelatedWork W2890218790 @default.
- W2950301623 hasRelatedWork W2949435266 @default.
- W2950301623 hasRelatedWork W2962687097 @default.
- W2950301623 hasRelatedWork W2964040797 @default.
- W2950301623 hasRelatedWork W2964155988 @default.
- W2950301623 hasRelatedWork W2973726846 @default.
- W2950301623 hasRelatedWork W2995126608 @default.
- W2950301623 hasRelatedWork W3036166066 @default.
- W2950301623 hasRelatedWork W3205364393 @default.
- W2950301623 hasRelatedWork W2104477690 @default.
- W2950301623 isParatext "false" @default.
- W2950301623 isRetracted "false" @default.
- W2950301623 magId "2950301623" @default.
- W2950301623 workType "article" @default.