WebSep 15, 2024 · The following list is far from exhaustive but here are some example references: this paper for unibranch curve singularities, here for planar curves and … WebMar 8, 2010 · The Hilbert scheme of a plane curve singularity and the HOMFLY polynomial of its link. The intersection of a complex plane curve with a small three-sphere surrounding one of its singularities is a non-trivial link. The refined punctual Hilbert schemes of the singularity parameterize subschemes supported at the singular point of fixed length and ...
Motivic Hilbert zeta functions of curves - Harvard University
WebThese Hilbert modular varieties can be considered as higher-dimensional analogues of Teichmu¨ller curves. We also examine curves whose Jacobians admit real multiplication, and show their eigenforms are always primitive. Real multiplication. Let K be a totally real number field of degree g over Q. WebApr 28, 2024 · We study the cohomology of Jacobians and Hilbert schemes of points on reduced and locally planar curves, which are however allowed to be singular and reducible. We show that the cohomologies of all Hilbert schemes of all subcurves are encoded in the cohomologies of the fine compactified Jacobians of connected subcurves, via the … in and out calls hrc
[1003.1568] The Hilbert scheme of a plane curve singularity and the ...
WebThe Hilbert scheme of points on C 3 (or C 3 / G) is given by representations of a quiver with super-potential. Unlike the surface case, the relations on the quiver are given by the critical locus of a single function --- a phenomenon special to dimension 3. Share Cite Improve this answer Follow answered Sep 29, 2010 at 5:53 Jim Bryan 5,880 2 25 39 WebApr 18, 2024 · Abstract main talk: (Joint with Ruofan Jiang) We prove a rationality result for a zeta function for the Quot scheme of points on the cusp singularity x^2=y^3, extending a phenomenon that is known for the Hilbert scheme of points on singular curves. The Quot scheme in question parametrizes quotient sheaves of O_X^d of length n supported at p ... WebMar 30, 2024 · When the space curve singularity is locally complete intersection, one obtains a relation between the latter and Euler numbers of Hilbert schemes of the space curve singularity. It is also shown that this relation yields explicit results for a class of torus-invariant locally complete intersection singularities. PDF Abstract Code Edit inbody scale login