Hilbert schemes of singular curves

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August undefined, 2024

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. http://sporadic.stanford.edu/conformal/lecture8.pdf

Flops and Hilbert schemes of space curve singularities

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 … 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 ... cloud based sharepoint

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WebHilbert schemes of points on a locally planar curve and the Severi strata of its versal deformation Vivek Shende ABSTRACT Let C be a locally planar curve. Its versal deformation admits a stratiﬁcation by the genera of the ﬁbres. 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 ... cloud based services offered by amazon

Hilbert schemes of points on singular surfaces: …

Hilbert-Chow morphism $Hilb^2 (C)\to Sym^2 (C)$ for …

WebHilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties PDF Download Are you looking for read ebook online? Search for your book and save it on your Kindle device, … 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 … cloud based server of microsoft 365WebMar 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 … cloud based shipping

"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) " - Hilbert schemes of singular curves

Hilbert schemes of singular curves

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WebJan 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 … 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 …

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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 … WebIntroduction to Hilbert schemes on singular curves , Hilbert schemes of singular curves and Catalan numbers . Simons Center for Geometry and Physics, November 2013. Refined …

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 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…

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 … http://math.bu.edu/research/geom/Fall12/Yu-Jong.pdf

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 …

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 ... cloud based shared drive for businessWebOne 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). by the sea norfolkWebAuthor: 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. cloud based service softwareWebsupported on a ﬁxed singular space curve and Euler numbers of Flag Hilbert schemes associated to a plane curve singularity. When the space curve singularity is locally … cloud based shipping management systemWebVisit 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 … cloud based sharing options for companiesWebMar 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 cloud based shipping softwareWeb[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 … by the sea nazare