Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949820886> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2949820886 abstract "We study the equations of abelian surfaces embedded in P^{n-1} with a line bundle of polarization of type (1,n). For n>9, we show that the ideal of a general abelian surface with this polarization is generated by quadrics, and if the embedding is Heisenberg invariant, we give a very specific description of these quadrics. These quadrics are produced using a generalization of the Moore matrices which yields a uniform description of these ideals. We prove that these equations generate the ideals using a degeneration argument, degenerating abelian surfaces to schemes obtained from Stanley-Reisner ideals of certain triangulations of the torus. Furthermore, we obtain information on how to compute the moduli spaces of abelian surfaces of type (1,n) with canonical level structure. In a sequel to this paper, we will study the structure of the equations for n<=9, and also give detailed geometric descriptions for the moduli spaces of abelian surfaces of low degree." @default.
- W2949820886 created "2019-06-27" @default.
- W2949820886 creator A5015123693 @default.
- W2949820886 creator A5069388171 @default.
- W2949820886 date "1996-09-04" @default.
- W2949820886 modified "2023-09-27" @default.
- W2949820886 title "Equations of (1,d)-polarized Abelian Surfaces" @default.
- W2949820886 cites W1495410784 @default.
- W2949820886 cites W1512075513 @default.
- W2949820886 cites W1595736629 @default.
- W2949820886 cites W1966115763 @default.
- W2949820886 cites W1974436182 @default.
- W2949820886 cites W1974880263 @default.
- W2949820886 cites W1977361551 @default.
- W2949820886 cites W1991946147 @default.
- W2949820886 cites W1998907066 @default.
- W2949820886 cites W2011948176 @default.
- W2949820886 cites W2060185552 @default.
- W2949820886 cites W2064719881 @default.
- W2949820886 cites W2070899950 @default.
- W2949820886 cites W2325546091 @default.
- W2949820886 cites W27818304 @default.
- W2949820886 hasPublicationYear "1996" @default.
- W2949820886 type Work @default.
- W2949820886 sameAs 2949820886 @default.
- W2949820886 citedByCount "0" @default.
- W2949820886 crossrefType "posted-content" @default.
- W2949820886 hasAuthorship W2949820886A5015123693 @default.
- W2949820886 hasAuthorship W2949820886A5069388171 @default.
- W2949820886 hasConcept C136170076 @default.
- W2949820886 hasConcept C154945302 @default.
- W2949820886 hasConcept C190470478 @default.
- W2949820886 hasConcept C202444582 @default.
- W2949820886 hasConcept C2524010 @default.
- W2949820886 hasConcept C33923547 @default.
- W2949820886 hasConcept C37914503 @default.
- W2949820886 hasConcept C41008148 @default.
- W2949820886 hasConcept C41608201 @default.
- W2949820886 hasConcept C73373263 @default.
- W2949820886 hasConcept C9767117 @default.
- W2949820886 hasConceptScore W2949820886C136170076 @default.
- W2949820886 hasConceptScore W2949820886C154945302 @default.
- W2949820886 hasConceptScore W2949820886C190470478 @default.
- W2949820886 hasConceptScore W2949820886C202444582 @default.
- W2949820886 hasConceptScore W2949820886C2524010 @default.
- W2949820886 hasConceptScore W2949820886C33923547 @default.
- W2949820886 hasConceptScore W2949820886C37914503 @default.
- W2949820886 hasConceptScore W2949820886C41008148 @default.
- W2949820886 hasConceptScore W2949820886C41608201 @default.
- W2949820886 hasConceptScore W2949820886C73373263 @default.
- W2949820886 hasConceptScore W2949820886C9767117 @default.
- W2949820886 hasLocation W29498208861 @default.
- W2949820886 hasOpenAccess W2949820886 @default.
- W2949820886 hasPrimaryLocation W29498208861 @default.
- W2949820886 hasRelatedWork W1424865626 @default.
- W2949820886 hasRelatedWork W1576262899 @default.
- W2949820886 hasRelatedWork W1743445101 @default.
- W2949820886 hasRelatedWork W1916512966 @default.
- W2949820886 hasRelatedWork W1930172189 @default.
- W2949820886 hasRelatedWork W2032119978 @default.
- W2949820886 hasRelatedWork W2106321453 @default.
- W2949820886 hasRelatedWork W2167737010 @default.
- W2949820886 hasRelatedWork W2502948202 @default.
- W2949820886 hasRelatedWork W2541571967 @default.
- W2949820886 hasRelatedWork W2949102203 @default.
- W2949820886 hasRelatedWork W2949566142 @default.
- W2949820886 hasRelatedWork W2950819684 @default.
- W2949820886 hasRelatedWork W2952242565 @default.
- W2949820886 hasRelatedWork W2962804696 @default.
- W2949820886 hasRelatedWork W2963006865 @default.
- W2949820886 hasRelatedWork W2964232019 @default.
- W2949820886 hasRelatedWork W3101376714 @default.
- W2949820886 hasRelatedWork W601565749 @default.
- W2949820886 hasRelatedWork W952013461 @default.
- W2949820886 isParatext "false" @default.
- W2949820886 isRetracted "false" @default.
- W2949820886 magId "2949820886" @default.
- W2949820886 workType "article" @default.