ScalingStacks

Verified tagged author-source HTML · 2006.13068v1 · cited publication edition alignment unverified.

On BtB_{t} in adapted coordinate charts we have

(3.2) ωt′⩾C−1​i|log⁡|t||2​∑j=1md​zjzj∧d​zj¯zj¯,\omega_{t}^{\prime}\geqslant C^{-1}\frac{i}{|\log|t||^{2}}\sum_{j=1}^{m}\frac{dz_{j}}{z_{j}}\wedge\frac{d\overline{z_{j}}}{\overline{z_{j}}},

and

(3.3) |d​ρt|ωt′2⩽C,|d\rho_{t}|^{2}_{\omega^{\prime}_{t}}\leqslant C,

for a fixed constant CC independent of tt.

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