Motivic and quantum invariance under stratified Mukai flops

Baohua Fu (1) , Chin-Lung Wang (2)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 NCU&NCTS

For stratified Mukai flops of type $A_{n,k}, D_{2k+1}$ and $E_{6,I}$, it is shown the fiber product induces isomorphisms on Chow motives. In contrast to (standard) Mukai flops, the cup product is generally not preserved. For $A_{n, 2}$, $D_5$ and $E_{6, I}$ flops, quantum corrections are found through degeneration/deformation to ordinary flops.

Domaines: Géométrie algébrique [math.AG]

Baohua Fu, Chin-Lung Wang. Motivic and quantum invariance under stratified Mukai flops. Journal of Differential Geometry, 2008, 80 (2), pp.261--280. ⟨hal-00213466v2⟩