Nagata submaximal curves on ℙ¹ × ℙ¹
The aim of this paper is to show that on ℙ¹ × ℙ¹ with a polarization of type (2,1) there are no R-R expected submaximal curves through any 10 ≤ r ≤ 15 points.
Non-archimedean intersection indices on projective spaces and the Bruhat-Tits building for
Inspired by Manin’s approach towards a geometric interpretation of Arakelov theory at infinity, we interpret in this paper non-Archimedean local intersection numbers of linear cycles in with the combinatorial geometry of the Bruhat-Tits building associated to .
Non-Proper Intersection of Surfaces and Applications
Note relative à la détermination du nombre des points d'intersection de deux courbes d'ordre quelconque, qui se trouvent à distance finie.
Nullstellensatz and cycles of zeroes of holomorphic mappings
The local Nullstellensatz exponent for holomorphic mappings via intersection theory for the cases of isolated and quasi-complete intersection is considered.