Geodesic
Ramification Divisors of General Projections
Documenta mathematica, Tome 25 (2020), pp. 1917-1952
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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.
DOI : 10.4171/dm/789
Classification : 14C21, 14N05, 14N10, 14N15, 14N25
Mots-clés : ramification, projection, minimal degree, linked linear series 
@article{10_4171_dm_789,
     author = {Anand Deopurkar and Eduard Duryev and Anand Patel},
     title = {Ramification {Divisors} of {General} {Projections}},
     journal = {Documenta mathematica},
     pages = {1917--1952},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/789},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/789/}
}
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Anand Deopurkar; Eduard Duryev; Anand Patel. Ramification Divisors of General Projections. Documenta mathematica, Tome 25 (2020), pp. 1917-1952. doi: 10.4171/dm/789

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