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SUMMARY:Emilia Mezzetti (Università degli Studi di Trieste)
DTSTART:20210408T200000Z
DTEND:20210408T210000Z
DTSTAMP:20260423T052805Z
UID:SGFM/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SGFM/18/">Le
 fschetz properties\, Laplace equations and Galois coverings</a>\nby Emilia
  Mezzetti (Università degli Studi di Trieste) as part of Seminario de Geo
 metría y Física - Matemática UCN-USP\n\n\nAbstract\nIn an article in co
 llaboration with Rosa M. Mirò-Roig and Giorgio Ottaviani (Canad. J. Math.
  65\, 2013)\, we established a relation\, due to apolarity\, between Artin
 ian homogeneous ideals of a polynomial ring not satisfying the Weak Lefsch
 etz Property - WLP - and projective varieties that verify a Laplace equati
 on of a certain order s\, i.e. such that all the s-osculating spaces have 
 dimension less than expected. Thanks to this relation\, it is possible to 
 extend to various classes of toric varieties some classical results due to
  Eugenio Togliatti. In the seminar\, I will introduce these notions and I 
 will speak of some recent results in collaboration with Liena Colarte and 
 Rosa M. Miro'-Roig\, relating them to cyclic Galois coverings.\n
LOCATION:https://researchseminars.org/talk/SGFM/18/
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