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SUMMARY:Rick Richster (Federal University of Itajubá (UNIFEI))
DTSTART:20200708T183000Z
DTEND:20200708T200000Z
DTSTAMP:20260423T021707Z
UID:BRAG/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/14/">Se
 cant defectiveness of toric varieties</a>\nby Rick Richster (Federal Unive
 rsity of Itajubá (UNIFEI)) as part of Brazilian algebraic geometry semina
 r\n\n\nAbstract\nThe $h$-secant variety $Sec_{h}(X)$ of a non-degenerate $
 n$-dimensional variety $X\\subset\\mathbb{P}^N$ is the Zariski closure of 
 the union of all linear spaces spanned by collections of $h$ points of $X$
 .\nThe expected dimension of $Sec_{h}(X)$ is \n$Expdim(Sec_{h}(X)):= \\min
 \\{nh+h-1\,N\\}$.\nThe actual dimension of $Sec_{h}(X)$ may be smaller tha
 n the expected one. \n\nLet $N$ be a rank $n$ free abelian group and $M$ i
 ts dual. Let $P\\subseteq M_{\\mathbb Q}$ be a full dimensional lattice po
 lytope and $X_P$ the corresponding toric variety.\n\nIn this talk we discu
 ss a new technique to give bounds on the Secant Defectivity of $X_P$ using
  information from the polytope $P$. It is a joint work just submitted with
  Antonio Laface and Alex Massarenti.\n\nThe link for the google meet will 
 be posted here a few days in advance.\n
LOCATION:https://researchseminars.org/talk/BRAG/14/
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