Linearly independent divisors on complex manifolds

• Autorzy: Jelonek Z.
• Języki publikacji: EN

Abstrakty

EN

Let X be a connected normal complex space and let D be a non-zero Cartier divisor on X with the support [...]. We show that if D is a principal divisor then the group H[sub 1](X \ [absolute value of D],Z) cannot be a torsion group. In particular the group H[sub1](H \ [absolute value of D],Z)] must be infinite. As a corollary we prove that simple Cartier divisors D[sub 1],...,D[sub r] on a complex manifold X are linearly independent in Cl(X), provided the group H[sub1](X \ [...] is a torsion group.

Słowa kluczowe

EN

linearly independent divisors; principal divisors; Picard group

PL

geometria algebraiczna

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 1
• Strony: 25--30
• Opis fizyczny: Bibliogr. 3 poz.,

Twórcy

autor

Jelonek Z.

• Institute of Mathematics, Jagiellonian University, Reymonta 4, Pl-30-059 Kraków