The Halphen cubics of order two

作者:Bauer Thomas; Harbourne Brian; Roe Joaquim*; Szemberg Tomasz
来源:Collectanea Mathematica, 2017, 68(3): 339-357.
DOI:10.1007/s13348-016-0172-4

摘要

For each , Roulleau and UrzAa give an implicit construction of a configuration of complex plane cubic curves. This construction was crucial for their work on surfaces of general type. We make this construction explicit by proving that the Roulleau-UrzAa configuration consists precisely of the Halphen cubics of order m, and we determine specific equations of the cubics for (which were known) and for (which are new).

  • 出版日期2017-9