Matches in SemOpenAlex for { <https://semopenalex.org/work/W1889587722> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W1889587722 endingPage "3637" @default.
- W1889587722 startingPage "3637" @default.
- W1889587722 abstract "An important classification problem in algebraic geometry deals with pairs (ℰ,φ), consisting of a torsion-free sheaf ℰ and a nontrivial homomorphism φ:(ℰ⊗a)⊗b→det(ℰ)⊗c⊗ℒ on a polarized complex projective manifold (X,OX(1)), the input data a, b, c, ℒ as well as the Hilbert polynomial of ℰ being fixed. The solution to the classification problem consists of a family of moduli spaces ℳδ:=ℳa/b/c/L/Pδ-ss for the δ-semistable objects, where δ∈ℚ[x] can be any positive polynomial of degree at most dim X−1. In this paper, we show that there are only finitely many distinct moduli spaces among the ℳδ and that they sit in a chain of “GIT-flips.” This property has been known and proved by ad hoc arguments in several special cases. In our paper, we apply refined information on the instability flag to solve this problem. This strategy is inspired by the fundamental paper of Ramanan and Ramanathan on the instability flag." @default.
- W1889587722 created "2016-06-24" @default.
- W1889587722 creator A5035961393 @default.
- W1889587722 date "2004-01-01" @default.
- W1889587722 modified "2023-10-17" @default.
- W1889587722 cites W1491760658 @default.
- W1889587722 cites W1569798161 @default.
- W1889587722 cites W1861581188 @default.
- W1889587722 cites W1961913635 @default.
- W1889587722 cites W1967091126 @default.
- W1889587722 cites W1979875326 @default.
- W1889587722 cites W2016183823 @default.
- W1889587722 cites W2022650418 @default.
- W1889587722 cites W2026853928 @default.
- W1889587722 cites W2071888795 @default.
- W1889587722 cites W2076459508 @default.
- W1889587722 cites W2085640574 @default.
- W1889587722 cites W2112445715 @default.
- W1889587722 doi "https://doi.org/10.1155/s1073792804141652" @default.
- W1889587722 hasPublicationYear "2004" @default.
- W1889587722 type Work @default.
- W1889587722 sameAs 1889587722 @default.
- W1889587722 citedByCount "9" @default.
- W1889587722 countsByYear W18895877222015 @default.
- W1889587722 countsByYear W18895877222017 @default.
- W1889587722 countsByYear W18895877222020 @default.
- W1889587722 countsByYear W18895877222022 @default.
- W1889587722 crossrefType "journal-article" @default.
- W1889587722 hasAuthorship W1889587722A5035961393 @default.
- W1889587722 hasConcept C114614502 @default.
- W1889587722 hasConcept C118615104 @default.
- W1889587722 hasConcept C134306372 @default.
- W1889587722 hasConcept C136119220 @default.
- W1889587722 hasConcept C141071460 @default.
- W1889587722 hasConcept C202444582 @default.
- W1889587722 hasConcept C2776730729 @default.
- W1889587722 hasConcept C33923547 @default.
- W1889587722 hasConcept C4042151 @default.
- W1889587722 hasConcept C71924100 @default.
- W1889587722 hasConcept C77461463 @default.
- W1889587722 hasConcept C78606066 @default.
- W1889587722 hasConcept C90119067 @default.
- W1889587722 hasConceptScore W1889587722C114614502 @default.
- W1889587722 hasConceptScore W1889587722C118615104 @default.
- W1889587722 hasConceptScore W1889587722C134306372 @default.
- W1889587722 hasConceptScore W1889587722C136119220 @default.
- W1889587722 hasConceptScore W1889587722C141071460 @default.
- W1889587722 hasConceptScore W1889587722C202444582 @default.
- W1889587722 hasConceptScore W1889587722C2776730729 @default.
- W1889587722 hasConceptScore W1889587722C33923547 @default.
- W1889587722 hasConceptScore W1889587722C4042151 @default.
- W1889587722 hasConceptScore W1889587722C71924100 @default.
- W1889587722 hasConceptScore W1889587722C77461463 @default.
- W1889587722 hasConceptScore W1889587722C78606066 @default.
- W1889587722 hasConceptScore W1889587722C90119067 @default.
- W1889587722 hasIssue "68" @default.
- W1889587722 hasLocation W18895877221 @default.
- W1889587722 hasOpenAccess W1889587722 @default.
- W1889587722 hasPrimaryLocation W18895877221 @default.
- W1889587722 hasRelatedWork W146885015 @default.
- W1889587722 hasRelatedWork W2056663089 @default.
- W1889587722 hasRelatedWork W2057890579 @default.
- W1889587722 hasRelatedWork W2063553505 @default.
- W1889587722 hasRelatedWork W2066604542 @default.
- W1889587722 hasRelatedWork W2074872688 @default.
- W1889587722 hasRelatedWork W2331879818 @default.
- W1889587722 hasRelatedWork W2964340163 @default.
- W1889587722 hasRelatedWork W3047722156 @default.
- W1889587722 hasRelatedWork W4229828853 @default.
- W1889587722 hasVolume "2004" @default.
- W1889587722 isParatext "false" @default.
- W1889587722 isRetracted "false" @default.
- W1889587722 magId "1889587722" @default.
- W1889587722 workType "article" @default.