%PDF-1.4 % 1 0 obj << /S /GoTo /D (09section.2) >> endobj 4 0 obj (1. Introduction) endobj 5 0 obj << /S /GoTo /D (09subsection.3) >> endobj 8 0 obj (1.1. Motivation 1: Ruan's hyper-K\344hler resolution conjectures) endobj 9 0 obj << /S /GoTo /D (09subsection.18) >> endobj 12 0 obj (1.2. Consequences) endobj 13 0 obj << /S /GoTo /D (09subsection.22) >> endobj 16 0 obj (1.3. On explicit descriptions of the Chow rings) endobj 17 0 obj << /S /GoTo /D (09subsection.23) >> endobj 20 0 obj (1.4. Motivation 2: Beauville's splitting property) endobj 21 0 obj << /S /GoTo /D (09subsection.28) >> endobj 24 0 obj (1.5. Cup products versus decomposition theorem) endobj 25 0 obj << /S /GoTo /D (09section.33) >> endobj 28 0 obj (2. Orbifold motives and orbifold Chow rings) endobj 29 0 obj << /S /GoTo /D (09section.58) >> endobj 32 0 obj (3. Motivic hyper-K\344hler resolution conjecture) endobj 33 0 obj << /S /GoTo /D (09subsection.59) >> endobj 36 0 obj (3.1. A motivic version of the cohomological hyper-K\344hler resolution conjecture) endobj 37 0 obj << /S /GoTo /D (09subsection.70) >> endobj 40 0 obj (3.2. Toy examples) endobj 41 0 obj << /S /GoTo /D (09subsubsection.71) >> endobj 44 0 obj (3.2.1. Hilbert squares of K3 surfaces) endobj 45 0 obj << /S /GoTo /D (09subsubsection.73) >> endobj 48 0 obj (3.2.2. Kummer K3 surfaces) endobj 49 0 obj << /S /GoTo /D (09section.75) >> endobj 52 0 obj (4. Main results and steps of the proofs) endobj 53 0 obj << /S /GoTo /D (09section.80) >> endobj 56 0 obj (5. Case \(A\): Hilbert schemes of abelian surfaces) endobj 57 0 obj << /S /GoTo /D (09subsection.81) >> endobj 60 0 obj (5.1. A recap of equivariant geometry) endobj 61 0 obj << /S /GoTo /D (09subsubsection.82) >> endobj 64 0 obj (5.1.1. ) endobj 65 0 obj << /S /GoTo /D (09subsubsection.83) >> endobj 68 0 obj (5.1.2. ) endobj 69 0 obj << /S /GoTo /D (09subsubsection.84) >> endobj 72 0 obj (5.1.3. ) endobj 73 0 obj << /S /GoTo /D (09subsubsection.85) >> endobj 76 0 obj (5.1.4. ) endobj 77 0 obj << /S /GoTo /D (09subsection.86) >> endobj 80 0 obj (5.2. Step \(i\): Additive isomorphisms) endobj 81 0 obj << /S /GoTo /D (09subsection.96) >> endobj 84 0 obj (5.3. Step \(ii\): Symmetrically distinguished cycles on abelian varieties) endobj 85 0 obj << /S /GoTo /D (09subsection.101) >> endobj 88 0 obj (5.4. Step \(iii\): Cohomological realizations) endobj 89 0 obj << /S /GoTo /D (09section.105) >> endobj 92 0 obj (6. Case \(B\): Generalized Kummer varieties) endobj 93 0 obj << /S /GoTo /D (09subsection.106) >> endobj 96 0 obj (6.1. Step \(i\): Additive isomorphisms) endobj 97 0 obj << /S /GoTo /D (09subsection.114) >> endobj 100 0 obj (6.2. Step \(ii\): Symmetrically distinguished cycles on abelian torsors with torsion structures) endobj 101 0 obj << /S /GoTo /D (09subsection.128) >> endobj 104 0 obj (6.3. Step \(iii\): Cohomological realizations) endobj 105 0 obj << /S /GoTo /D (09section.134) >> endobj 108 0 obj (7. Application 1: Toward Beauville's splitting property) endobj 109 0 obj << /S /GoTo /D (09subsection.135) >> endobj 112 0 obj (7.1. Beauville's splitting property) endobj 113 0 obj << /S /GoTo /D (09subsection.143) >> endobj 116 0 obj (7.2. Splitting property for abelian varieties) endobj 117 0 obj << /S /GoTo /D (09subsection.152) >> endobj 120 0 obj (7.3. Candidate decompositions in Cases \(A\) and \(B\)) endobj 121 0 obj << /S /GoTo /D (09section.163) >> endobj 124 0 obj (8. Application 2: Multiplicative decomposition theorem of rational cohomology) endobj 125 0 obj << /S /GoTo /D (09section*.171) >> endobj 128 0 obj (References) endobj 129 0 obj << /S /GoTo /D [130 0 R /FitBH] >> endobj 138 0 obj << /Length 3286 /Filter /FlateDecode >> stream xڵZYs~`^J}lj,y-JQ@ t@ Im*y!svutv?g4>yIglf1Fδ1[na$ʅ*=qbĹ'-Dh\`\\?{)>cnf2B]l_o;V`94YCA]XpaRD2O%&koslǸtv+'8l'[8] dQp@jWp1?F&7TQN'=εt|'g69\Bk:iy&3|͗pjTmUsaw7B`5g6rk}˲wlvai=fL't8waUVdUnC;
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