Abstract
We study ramification divisors of projections of a smooth projective variety onto a linear space of the same dimension. We prove that for a large class of varieties, the ramification divisors of such projections vary in a maximal dimensional family. We study the map that associates to a linear projection its ramification divisor. By a degeneration argument involving (linked) limit linear series of higher rank, we show that this map is dominant for most (but not all!) varieties of minimal degree.
Original language | English |
---|---|
Pages (from-to) | 1917-1952 |
Number of pages | 36 |
Journal | Documenta Mathematica |
Volume | 25 |
DOIs | |
Publication status | Published - 2020 |