General curves on algebraic surfacesReport as inadecuate



 General curves on algebraic surfaces


General curves on algebraic surfaces - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: General curves on algebraic surfaces
We give upper bounds on the genus of a curve with general moduli assuming that it can be embedded in a projective nonsingular surface $Y$ so that $\dim(|C|) > 0$. We find such bounds for all types of surfaces of intermediate Kodaira dimension and, under mild restrictions, for surfaces of general type whose minimal model $Z$ satisfies the Castelnuovo inequality $K Z^2 \ge 3\chi(\O Z) - 10$. In this last case we obtain $g \le 19$. In the other cases considered the bounds are lower.



Author: Edoardo Sernesi

Source: https://archive.org/







Related documents