摘要

We study the factoriality of a double cover X-4 of P-3 ramified along a nodal quartic surface, and we formulate a natural conjecture which would answer this problem depending on the number r, 8 %26lt;= r %26lt;= 10, of nodes of X-4. We prove this conjecture when there is a nonsingular quadric surface containing all the nodes of X-4.

  • 出版日期2014-1