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 ... 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
Generalized Affine Springer Theory and Hilbert Schemes on Planar Curves …
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 … 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 … cummings real estate haleyville al
ENUMERATION OF SINGULAR CURVES WITH TANGENCY …
Title: Tropical spectral curves, Fay's trisecant identity, and generalized … PDF - [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 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 ... eastwick primary school centre