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An online session of the Algebra and Logic Seminar will be held on August 19, 2022 (Friday) at 1:00 pm (UTC+3).

A talk on:

Examples of non-reduced components of the Hilbert Scheme of smooth projective curves using ruled surfaces

will be delivered by Hristo Iliev (American University in Bulgaria and IMI-BAS, Bulgaria).

Abstract. Let Id,g,r be the union of irreducible components of the Hilbert scheme whose general points represent smooth irreducible non-degenerate curves of degree d and genus g in Pr. Using a family of curves found on ruled surfaces over smooth curves of genus γ, we show that for γ ≥ 7 and g ≥ 6γ+5 the scheme I2g−4γ+1,g,g−3γ+1 acquires a non-reduced component D′ such that dim T[X′]D′ = dimD′ + 1 for a general point [X′] ∈ D′.

Join Zoom meeting:

Topic: Онлайн семинар на секция “Алгебра и логика”
Time: Aug 19, 2022 01:00 PM Sofia
Meeting ID: 851 3737 5021
Passcode: 035647

Algebra and Logic Department, IMI-BAS
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