DEFORMATION OF TROPICAL HIRZEBRUCH SURFACES AND ENUMERATIVE GEOMETRY

作者:Brugalle Erwan; Markwig Hannah
来源:Journal of Algebraic Geometry, 2016, 25(4): 633-702.
DOI:10.1090/jag/671

摘要

We illustrate the use of tropical methods by generalizing a formula due to Abramovich and Bertram, extended later by Vakil. Namely, we exhibit relations between enumerative invariants of the Hirzebruch surfaces Sigma(n) and Sigma(n+2), obtained by deforming the first surface to the latter. Our strategy involves a tropical counterpart of deformations of Hirzebruch surfaces and tropical enumerative geometry on a tropical surface in three-space.

  • 出版日期2016-10