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- W3217149322 abstract "Given a hypersurface, $X$, prime $p$, the zeta function is a generating function for the number of $mathbb{F}_{p}$ rational points of $X$. Until now, there is no algorithm for computing hypersurfaces with ADE singularities. Scott Stetson and Vladimir Baranovsky provided an algorithm with Mathematica for the ordinary double point case. In this paper, I go over a Sage algorithm for computing the zeta function of a hypersurface with ADE singularities over 3-dimensional projective space. To make the algorithm more efficient, I established an equivalence between a polynomial belonging to the Jacobian ideal with a polynomial satisfying a set of differential operators. I will also provide the link to the Sage code I constructed." @default.
- W3217149322 created "2021-12-06" @default.
- W3217149322 creator A5047979765 @default.
- W3217149322 date "2021-11-21" @default.
- W3217149322 modified "2023-09-27" @default.
- W3217149322 title "Zeta function of projective hypersurfaces with ADE singularities" @default.
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