Hilbert schemes of singular curves
WebHilbert scheme. In algebraic geometry, a branch of mathematics, a Hilbert scheme is a scheme that is the parameter space for the closed subschemes of some projective space … WebThe Hyperk ahler SYZ Conjecture: The Hilbert scheme HilbnS of a K3 surface admits a La-grangian bration if Scontains a primitive curve with self-intersection 2(n 1)k2 for some integer k[37]. (This existence result was later completed by Bayer and Macr [1], who gave necessary and su cient conditions.)
Hilbert schemes of singular curves
Did you know?
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 … 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.
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 … 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 and genus in . A component of is rigid in mo…
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 … WebIntroduction to Hilbert schemes on singular curves , Hilbert schemes of singular curves and Catalan numbers . Simons Center for Geometry and Physics, November 2013. Refined …
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 ...
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 fcb horomillWebAuthor: Lothar Göttsche Publisher: Springer ISBN: 3540483381 Category : Mathematics Languages : en Pages : 202 Download Book. Book Description In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry. fcb hospitalityWebJan 26, 2012 · Its versal deformation admits a stratification by the genera of the fibres. The strata are singular; we show that their multiplicities at the central point are determined by … fcb hockey herbafrisco fire department stationsWebWe are famous for our 30-minute Circuit that works every major muscle group with strength training, cardio and stretching and always has a coach to help members with proper form, … fcb host familyWebHilbert 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 fcb houstonWebApr 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 … frisco fireplace