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SUMMARY:Gaia Comaschi (University of Campinas)
DTSTART:20210616T183000Z
DTEND:20210616T200000Z
DTSTAMP:20260423T004137Z
UID:BRAG/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/51/">In
 stanton sheaves of low charge on Fano threefolds</a>\nby Gaia Comaschi (Un
 iversity of Campinas) as part of Brazilian algebraic geometry seminar\n\n\
 nAbstract\nLet $X$ be a Fano threefold of Picard number one and of index $
 2+h\, \\ h=0\,1$. \nAn \\textit{instanton sheaf of charge $k$ on $X$} is d
 efined as a semi-stable rank 2 torsion free sheaf $F$ with Chern classes $
 c_1=-h\, \\ c_2=k\, \\ c_3=0$ and such that $F(-1)$ has no cohomology.\nLo
 cally free instantons\, originally defined on the projective space and lat
 er generalised on other Fano threefolds $X$\, had been largely studied fro
 m several authors in the past years\; their moduli spaces present an extre
 mely rich geometry and useful applications to the study of curves on $X$.\
 nIn this talk I will illustrate several features of non-locally free insta
 ntons of low charge on 3 dimensional quadrics and cubics. I will focus in 
 particular on the role that they play in the study of the Gieseker-Maruyam
 a moduli space $M_X(2\;-h\,k\,0)$ and describe how we can still relate the
 se sheaves to curves on $X$.\n
LOCATION:https://researchseminars.org/talk/BRAG/51/
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