04164nam 2200601 450 991048040800332120170822144453.01-4704-0409-5(CKB)3360000000464992(EBL)3114134(SSID)ssj0000973484(PQKBManifestationID)11553180(PQKBTitleCode)TC0000973484(PQKBWorkID)10978854(PQKB)10672998(MiAaPQ)EBC3114134(PPN)195416953(EXLCZ)99336000000046499220150417h20042004 uy 0engur|n|---|||||txtccrExceptional vector bundles, tilting sheaves, and tilting complexes for weighted projective lines /Hagen MeltzerProvidence, Rhode Island :American Mathematical Society,2004.©20041 online resource (154 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 171, Number 808"Volume 171, Number 808 (first of 4 numbers)."0-8218-3519-X Includes bibliographical references and index.""Contents""; ""Abstract""; ""Chapter 1. Background""; ""Chapter 2. Summary""; ""Chapter 3. Weighted projective lines""; ""3.1. Basic notations""; ""3.2. Exceptional sheaves""; ""3.3. Perpendicular categories""; ""Chapter 4. Mutations of exceptional sequences""; ""4.1. Exceptional sequences""; ""4.2. The braid group action on the set of exceptional sequences""; ""4.3. Transitivity of the braid group action""; ""4.4. Bijections between exceptional sheaves""; ""4.5. Coprimeness of rank and degree""; ""Chapter 5. Tubular mutations""""5.1. Mutations as derived equivalences for sheaves on weighted projective lines of genus one""""5.2. Telescopic functors""; ""5.3. Automorphisms of the derived category""; ""Chapter 6. Twisted mutations""; ""6.1. Admissible exceptional pairs""; ""6.2. Twisted mutations of admissible exceptional pairs""; ""Chapter 7. On the number of exceptional vector bundles""; ""7.1. Equations and inequalities for exceptional bundles""; ""7.2. A bound for the number of exceptional bundles of fixed rank and degree""; ""7.3. Omnipresent exceptional vector bundles""; ""Chapter 8. Tilting sheaves""""8.1. Concealedâ€?canonical and almost concealedâ€?canonical algebras""""8.2. Regular components""; ""8.3. The wing decomposition of a tilting bundle""; ""8.4. Nonâ€?regular components for concealedâ€?canonical algebras""; ""8.5. Nonâ€?regular components for almost concealedâ€?canonical algebras""; ""Chapter 9. Tilting complexes""; ""9.1. Tilting complexes and exceptional sequences""; ""9.2. Tilting complexes for weighted projective lines with parameters""; ""9.3. Branch enlargements of concealedâ€?canonical algebras""; ""9.4. Tilting complexes for domestic weighted projective lines""""9.5. Tilting complexes for tubular weighted projective lines""""Chapter 10. Hyperelliptic weighted projective lines""; ""10.1. Structure of a tilting complex on a hyperelliptic weighted projective line""; ""10.2. Diophantine equations""; ""10.3. Layered algebras""; ""10.4. Tame algebras derived equivalent to hyperelliptic algebras""; ""10.5. Tame algebras derived equivalent to tâ€?subspace problem algebras""; ""10.6. Proofs of the classification results""; ""Bibliography""; ""Index""Memoirs of the American Mathematical Society ;Volume 171, Number 808.Vector bundlesRepresentations of rings (Algebra)Homology theoryElectronic books.Vector bundles.Representations of rings (Algebra)Homology theory.514.224Meltzer Hagen873519MiAaPQMiAaPQMiAaPQBOOK9910480408003321Exceptional vector bundles, tilting sheaves, and tilting complexes for weighted projective lines1950130UNINA