Tenant Vs. Landlord, who pays deductible?

[Margie Brooke]

I have a commercial lease in a building with multiple tenants. A tree (not within my leased premises) caused damage to my leased premises during a wind storm. I had previously told the landlords the tree needed attention as it was causing damage to the roof. The landlords have told me to turn it into my insurance. I think they should turn it into theirs, my agent says it could go either way. If I turn it into my insurance, are they responsible for me deductible?