Ramification Divisors of General Pprojections

Anand Deopurkar*, Eduard Duryev, Anand Patel

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    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 languageEnglish
    Pages (from-to)1917-1952
    Number of pages36
    JournalDocumenta Mathematica
    Volume25
    DOIs
    Publication statusPublished - 2020

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