Tropical correspondence for smooth del Pezzo log Calabi-Yau pairs

نویسندگان

چکیده

Consider a log Calabi-Yau pair ( X , D stretchy="false">) (X,D) consisting of smooth del Pezzo surface alttext="upper X"> encoding="application/x-tex">X degree alttext="greater-than-or-equal-to 3"> ? 3 encoding="application/x-tex">\geq 3 and anticanonical divisor D"> encoding="application/x-tex">D . We prove correspondence between genus zero logarithmic Gromov-Witten invariants intersecting in single point with maximal tangency the consistent wall structure appearing dual intersection complex from Gross-Siebert reconstruction algorithm. More precisely, logarithm product functions attached to unbounded walls gives generating function for these invariants.

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ژورنال

عنوان ژورنال: Journal of Algebraic Geometry

سال: 2022

ISSN: ['1534-7486', '1056-3911']

DOI: https://doi.org/10.1090/jag/794