Self-Dual Codes and the Nonexistence of a Quasi-Symmetric 2-(37,9,8) Design with Intersection Numbers 1 and 3: QUASI-SYMMETRIC 2-(37, 9, 8) DESIGNS
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DOI: 10.1002/jcd.21556
Abstract: We prove that a certain binary linear code associated with the incidence matrix of a quasi-symmetric 2-(37,9,8) design with intersection numbers 1 and 3 must be contained in an extremal doubly even self-dual code of… read more here.
Keywords: quasi symmetric; symmetric design; design intersection; self dual ... See more keywords
Decomposition of Feynman integrals on the maximal cut by intersection numbers
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DOI: 10.1007/jhep05(2019)153
Abstract: A bstractWe elaborate on the recent idea of a direct decomposition of Feynman integrals onto a basis of master integrals on maximal cuts using intersection numbers. We begin by showing an application of the method… read more here.
Keywords: intersection numbers; feynman integrals; decomposition feynman; integrals maximal ... See more keywords
A reformulation of the Siegel series and intersection numbers
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DOI: 10.1007/s00208-020-01999-2
Abstract: In this paper, we will explain a conceptual reformulation and inductive formula of the Siegel series. Using this, we will explain that both sides of the local intersection multiplicities of Gross and Keating (Invent Math… read more here.
Keywords: siegel series; series intersection; reformulation siegel; series ... See more keywords
On non-proper intersections and local intersection numbers
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DOI: 10.1007/s00209-021-02816-5
Abstract: Given equidimensional (generalized) cycles $$\mu _1$$ μ 1 and $$\mu _2$$ μ 2 on a complex manifold Y we introduce a product $$\mu _1\diamond _{Y} \mu _2$$ μ 1 ⋄ Y μ 2 that is… read more here.
Keywords: non proper; intersections local; local intersection; proper intersections ... See more keywords
Large genus asymptotics for intersection numbers and principal strata volumes of quadratic differentials
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DOI: 10.1007/s00222-021-01059-9
Abstract: In this paper we analyze the large genus asymptotics for intersection numbers between $\psi$-classes, also called correlators, on the moduli space of stable curves. Our proofs proceed through a combinatorial analysis of the recursive relations… read more here.
Keywords: principal strata; genus asymptotics; genus; asymptotics intersection ... See more keywords
Geometric intersection numbers between multiple and elementary curves on punctured torus
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DOI: 10.2298/fil2220043d
Abstract: We obtain formulas that give the geometric intersection numbers between multiple curves and elementary curves, which are particular types of multiple curves, on the punctured torus with boundary by using Dynnikov coordinates. To do this,… read more here.
Keywords: numbers multiple; elementary curves; intersection numbers; geometric intersection ... See more keywords