Hilbert schemes of singular curves

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August undefined, 2024

WebCOUNTING SINGULAR PLANE CURVES VIA HILBERT SCHEMES 5 Let n1,...,n r be a sequence of increasing positive integers. Then from Lemma 3.1 one can see that the condition of the condition given by the ... WebCOUNTING SINGULAR PLANE CURVES VIA HILBERT SCHEMES 5 Let n1,...,n r be a sequence of increasing positive integers. Then from Lemma 3.1 one can see that the …

Irreducibility and components rigid in moduli of the Hilbert …

WebOne 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). 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 ... chinese in london ohio

ENUMERATION OF SINGULAR CURVES WITH TANGENCY …

WebDenote 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 … WebVisit Curves to find a women's fitness club near you. Simply enter your city and state, or postal code, and we'll provide you with information on your nearby Curves gyms. Find out … WebWe 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 … grand ole opry 5000th broadcast

Generalized Affine Springer Theory and Hilbert Schemes …

Why do we care about the Hilbert scheme of points?

Title: Tropical spectral curves, Fay's trisecant identity, and generalized … PDF - [1003.1568] The Hilbert scheme of a plane curve singularity and the ... Web3 Hilbert Schemes of Points on Curve Singularities 4 Action of the Rational Cherednik Algebra 5 Torus Links and the Spherical RCA A Funding Acknowledgments References … grand ole opry 50sWeb3 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 … chinese in lone tree

"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 " - Hilbert schemes of singular curves

Hilbert schemes of singular curves

Flops and Hilbert schemes of space curve singularities

WebOct 15, 2003 · The versal deformation space to a singularity can be naturally identified with the normal space to the tangent space of the locus of curves in a linear series such that … Webaction of the two-dimensional Weyl algebra on the homology of the Hilbert scheme of an integral locally planar curve (see also [46, 47]), and Kivinen [36] generalized this action to reduced locally planar curves with several components. In this paper, we relate the geometry of (parabolic) Hilbert schemes on singular

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WebSingular 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) 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 ...

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 [ORS18, GORS14], representation theory [GORS14, Nak97, Kiv19, OY16, EGL15], and curve counting [PT10, Pan]. A ne Springer bers, and their various generalizations, have WebThe Euler characteristic of the Hilbert scheme of n points on a curve is a rather subtler problem, since these spaces feel the nature of the singularities. In the simplest case, a …

Web[Leh04,Nak99] for an introduction. It is a non-singular projective vari-ety of dimension 2d, which is simply-connected and carries a holomorphic symplectic form. In case d= 1 we … 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 …

WebSingular 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 …

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 … grand ole opry 97th anniversaryWebFour church members were also charged in 2024 in an unemployment benefits scheme. Other religious organizations in the state have also received money through the federal … grand ole opry 70th anniversary 1996 tv showWebThese 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. chinese in loose chinese in loveWebMar 30, 2024 · Request PDF Flops and Hilbert schemes of space curve singularities Using pagoda flop transitions between smooth projective threefolds, a relation is derived … chinese in lossiemouthWebSep 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 … chinese in loughtonWebThe 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 chinese in louth