For simple normal crossings divisors, logarithmic and local/naive Gromov-Witten invariants with maximal contacts differ, and this paper gives the first counterexamples plus a blowup formula measuring the difference.
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Gromov-Witten theory with maximal contacts
For simple normal crossings divisors, logarithmic and local/naive Gromov-Witten invariants with maximal contacts differ, and this paper gives the first counterexamples plus a blowup formula measuring the difference.