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math.SG2001
Symplectic Parshin-Arakelov inequality
Tian-Jun Li
Lefschetz fibration is the symplectic analogue of stable holomorphic fibration in complex geometry. A 4-dimensional stable holomorphic fibration satisfies the famous Parshin-Arakel…
math.SG2000
Uniqueness of symplectic canonical class, surface cone and symplectic cone of 4-manifolds with b^+=1
Tian-Jun Li, Ai-Ko Liu
Let M be a closed oriented smooth 4-manifold admitting symplectic structures. If M is minimal and has b^+=1, we prove that there is a unique symplectic canonical class up to sign,…