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math.AG2015
Motivic Zeta Functions of the Quartic and its Mirror Dual
Johannes Nicaise, D. Peter Overholser, Helge Ruddat
We use a formula of Bultot to compute the motivic zeta function for the toric degeneration of the quartic K3 and its Gross-Siebert mirror dual degeneration. We check for this expli…
math.AG2015★ 4 cited
Descendent Tropical Mirror Symmetry for
D. Peter Overholser
We modify Gross's construction of mirror symmetry for by introducing a descendent tropical Landau-Ginzburg potential. The period integrals of this potential compute…
math.AG2014
Enumerative aspects of the Gross-Siebert program
Michel van Garrel, D. Peter Overholser, Helge Ruddat
We present enumerative aspects of the Gross-Siebert program in this introductory survey. After sketching the program's main themes and goals, we review the basic definitions and re…