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SUMMARY:Nil Şahin (Bilkent)
DTSTART:20231201T124000Z
DTEND:20231201T134000Z
DTSTAMP:20260423T052641Z
UID:OBAGS/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/37/">M
 onotonicity of the Hilbert Functions of some monomial curves</a>\nby Nil 
 Şahin (Bilkent) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\n
 Abstract\nLet $S$ be a 4-generated pseudo-symmetric semigroup generated by
  the positive integers $\\{n_1\, n_2\, n_3\, n_4\\}$ where $\\gcd(n_1\, n_
 2\, n_3\, n_4) = 1$. $k$ being a field\, let $k[S]$ be the corresponding s
 emigroup ring and\n$I_S$ be the defining ideal of $S$. $f_*$ being the hom
 ogeneous summand of $f$\, tangent cone of $S$ is $k[S]/{I_S}_*$ where ${I_
 S}_* =< f_*|f \\in I_S >$. We will show that the  "Hilbert function of the
  local ring (which is isomorphic to the tangent cone) for a 4 generated ps
 eudo-symmetric numerical semigroup $<n_1\,n_2\,n_3\,n_4>$ is always non-de
 creasing when $n_1<n_2<n_3<n_4$" by an explicit Hilbert function computati
 on.\n
LOCATION:https://researchseminars.org/talk/OBAGS/37/
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