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 |
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| Pages (from-to) | 1917-1952 |
| Number of pages | 36 |
| Journal | Documenta Mathematica |
| Volume | 25 |
| DOIs | |
| Publication status | Published - 2020 |