Irreducibility of multigraded Hilbert schemes of points in general position in the product of projective spaces

Department's Seminar
3 May 2023
Start time 
1:30 pm
PovoZero - Via Sommarive 14, Povo (Trento)
Aula Seminari 1 (Povo 0)
Dipartimento di Matematica
Target audience: 
University community
UniTrento students
Contact person: 
Roberto Pignatelli, Elisa Postinghel, Luis E. Solá Conde
Contact details: 
Università degli Studi Trento 38123 Povo (TN) - Staff Dipartimento di Matematica
+39 0461/281508-1625-1701-3898-1980-1511
Tomasz Mańdziuk (University of Trento)


In the talk I will present some necessary conditions for a point of a multigraded Hilbert scheme corresponding to r points in general position in a smooth projective complex toric variety to be in the Slip component. These criteria can be used to classify irreducible multigraded Hilbert schemes corresponding to points in general position in the product of projective spaces.

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