IJPAM: Volume 57, No. 2 (2009)

UNIONS OF LINES, THEIR ARITHMETIC
GENERA AND SMOOTHINGS

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]


Abstract.Here we study some questions on unions of lines in $\mathbb {P}^n$ and their arithmetic genuera, under certain non-degeneracy assumption (e.g. no more that $n-1$ lines in a hyperplane).

Received: September 4, 2009

AMS Subject Classification: 14N05, 14H99

Key Words and Phrases: unions of lines, arithmetic genus, hyperplane section

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 2