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Hilbert schemes of singular curves

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 https://almadinacorp.com

[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

Flops and Hilbert schemes of space curve singularities

Category:Irreducibility and components rigid in moduli of the Hilbert scheme …

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Hilbert schemes of singular curves

[1003.1568] The Hilbert scheme of a plane curve singularity and the ...

WebThe Hilbert schemes of points on singular curves have been objects of intense study due to their connections to a wide range of topics including knot theory [20, 39], representation theory [15, 20, 26, 35, 38], and curve counting [40, 41]. A ne Springer bers, and their various generalizations, have also seen a wide range of study WebThe Hilbert schemes of points on singular curves have been objects of intense study due to their connections to a wide range of topics including knot theory [20, 39], representation theory [15, 20, 26, 35, 38], and curve counting [40, 41].Affine Springer fibers, and their various generalizations, have also seen a wide range of study in combinatorics [], geometry [31, …

Hilbert schemes of singular curves

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Webon the generalization of the above problem to count singular curves with given tangency condition to a xed smooth divisor on general surfaces. I will relate the enumeration to tautological integrals on Hilbert schemes of points and show the numbers of curves in ques-tion are given by universal polynomials. As a result, we can obtain in nitely ... Title: Tropical spectral curves, Fay's trisecant identity, and generalized … PDF - [1003.1568] The Hilbert scheme of a plane curve singularity and the ...

WebTeichmu¨ller curves in genus two: Discriminant and spin Curtis T. McMullen ... WebReduction 1: partly singular There is a natural correspondence G = X[m] B X(m) B BDm(X (m) B) between the Hilbert scheme and the blowup, and Theorem 1.1 is precisely the statement that the maps G !X[m] B, G !BDm(X (m) B), which are a priori birational, are both isomorphisms or equivalently, ´etale. This statement is obviously local over X(m) B ...

Web3 The motivic Hilbert zeta function When Xis a singular curve, the ZSym X (t) does not capture much information about the singularities. In fact, ZSym X (t) depends only on the number of branches at each singular point. Example 3.1. Let Xbe a projective rational curve with a single cusp. Then the nor-malization P1!X is a cut and paste isomorphism. WebMar 30, 2024 · Request PDF Flops and Hilbert schemes of space curve singularities Using pagoda flop transitions between smooth projective threefolds, a relation is derived between the Euler numbers of moduli ...

WebHilbert scheme Bernard Mourrain To cite this version: Bernard Mourrain. Isolated singularities, inverse systems and the punctual Hilbert scheme. 2024. ... First, we recall algorithms to compute the inverse system of an isolated singular point. These inverse systems are points of the punctual Hilbert scheme, that we de ne as a subvariety

WebIntroduction to Hilbert schemes on singular curves , Hilbert schemes of singular curves and Catalan numbers . Simons Center for Geometry and Physics, November 2013. Refined … inbody scale weight limitWebWe conjecture an expression for the dimensions of the Khovanov-Rozansky HOMFLY homology groups of the link of a plane curve singularity in terms of the weight polynomials of Hilbert schemes of points scheme-theoretically supported on the singularity. The conjecture specializes to our previous conjecture [OS10] relating the HOMFLY polynomial … in and out calls army retentionWebApr 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 … in and out calories 4x4WebThe Hilbert schemes of points on singular curves have been objects of intense study due to their connections to a wide range of topics including knot theory [ORS18, GORS14], representation theory [GORS14, Nak97, Kiv19, OY16, EGL15], and curve counting [PT10, Pan]. A ne Springer bers, and their various generalizations, have inbody scalesWebDenote by the Hilbert scheme of smooth curves, that is the union of components whose general point corresponds to a smooth irreducible and non-degenerate curve of degree and genus in . A component of is rigid in mo… inbody scale petaling jayaWebSingular curves Next, let X= Cbe a singular algebraic curve over C with a nite number of planar singularities P i2C. The corresponding Hilbert schemes Hilbn(C) are of course singular (already for n= 1!) but known to be irreducible. Theorem (conjectured by Oblomkov and Shende, proved by Maulik) Z C(q) = (1 q) ˜(C) Yk j=1 Z(Pi;C)(q) in and out calls retentionWebOne feature is atranslation operator T on the Hilbert space of states having nice algebraic properties. Let P = P 0 +P 1 be the Hermitian energy-momentum operator. We switch to the light-cone coordinates and write P = P 0 +iP 1, P = P 0-iP 0. Now let Q be the conjugate of P by inversion x !-x=jxj2 which is a conformal map. Then T = 1 2 (P+[P,Q]-Q). in and out calls us army