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**

**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 I_{d,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 P^{r}. 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 I_{2g−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:

https://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09

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

http://www.math.bas.bg/algebra/seminarAiL/

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