Geodesic
Ramification Divisors of General Projections
Documenta mathematica, Tome 25 (2020), pp. 1917-1952.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14N05, 14N10, 14N15, 14N25, 14C21
Keywords: ramification, projection, minimal degree, linked linear series 
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     author = {Deopurkar, Anand and Duryev, Eduard and Patel, Anand},
     title = {Ramification {Divisors} of {General} {Projections}},
     journal = {Documenta mathematica},
     pages = {1917--1952},
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     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a18/}
}
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Deopurkar, Anand; Duryev, Eduard; Patel, Anand. Ramification Divisors of General Projections. Documenta mathematica, Tome 25 (2020), pp. 1917-1952. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a18/