LEADER 04164nam 2200601 450 001 9910480408003321 005 20170822144453.0 010 $a1-4704-0409-5 035 $a(CKB)3360000000464992 035 $a(EBL)3114134 035 $a(SSID)ssj0000973484 035 $a(PQKBManifestationID)11553180 035 $a(PQKBTitleCode)TC0000973484 035 $a(PQKBWorkID)10978854 035 $a(PQKB)10672998 035 $a(MiAaPQ)EBC3114134 035 $a(PPN)195416953 035 $a(EXLCZ)993360000000464992 100 $a20150417h20042004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aExceptional vector bundles, tilting sheaves, and tilting complexes for weighted projective lines /$fHagen Meltzer 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2004. 210 4$dİ2004 215 $a1 online resource (154 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 171, Number 808 300 $a"Volume 171, Number 808 (first of 4 numbers)." 311 $a0-8218-3519-X 320 $aIncludes bibliographical references and index. 327 $a""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"" 327 $a""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"" 327 $a""8.1. Concealeda???canonical and almost concealeda???canonical algebras""""8.2. Regular components""; ""8.3. The wing decomposition of a tilting bundle""; ""8.4. Nona???regular components for concealeda???canonical algebras""; ""8.5. Nona???regular components for almost concealeda???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 concealeda???canonical algebras""; ""9.4. Tilting complexes for domestic weighted projective lines"" 327 $a""9.5. Tilting complexes for tubular weighted projective lines""""Chapter 10. Hyperelliptic weighted projective lines""; ""10.1. Structure of a tilting complex on a hyperelliptic weighted projective line""; ""10.2. Diophantine equations""; ""10.3. Layered algebras""; ""10.4. Tame algebras derived equivalent to hyperelliptic algebras""; ""10.5. Tame algebras derived equivalent to ta???subspace problem algebras""; ""10.6. Proofs of the classification results""; ""Bibliography""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 171, Number 808. 606 $aVector bundles 606 $aRepresentations of rings (Algebra) 606 $aHomology theory 608 $aElectronic books. 615 0$aVector bundles. 615 0$aRepresentations of rings (Algebra) 615 0$aHomology theory. 676 $a514.224 700 $aMeltzer$b Hagen$0873519 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480408003321 996 $aExceptional vector bundles, tilting sheaves, and tilting complexes for weighted projective lines$91950130 997 $aUNINA