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Matrix factorizations for quantum complete intersections
We introduce twisted matrix factorizations for quantum complete intersections of codimension two. For such an algebra, we show that in a given...
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Complete Minimal Surfaces of Finite Total Curvature
The chapter begins with a brief survey of some classical results concerning minimal surfaces of finite total Gaussian curvature. Such surfaces are...
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Decomposition of Intersections with Fuzzy Sets of Operands
We investigate the operation of intersection of fuzzy sets with a fuzzy set of operands. This is a natural generalization of the corresponding...
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A (2,3)-complete intersection fourfold with no decomposition of the diagonal
We apply the specialization technique based on the decomposition of the diagonal to the intersection of a quadric and cubic hypersurface in
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Local tropicalizations of splice type surface singularities
Splice type surface singularities were introduced by Neumann and Wahl as a generalization of the class of Pham–Brieskorn–Hamm complete intersections...
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Unbounded Multipliers of Complete Pick Spaces
We examine densely defined (but possibly unbounded) multiplication operators in Hilbert function spaces possessing a complete Nevanlinna–Pick (CNP)...
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Sampling by intersections with random geodesics
In this paper we compare the different phenomena that occur when intersecting geometric objects with random geodesics on the unit sphere and inside...
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Cracked polytopes and Fano toric complete intersections
We introduce the notion of cracked polytope , and – making use of joint work with Coates and Kasprzyk—construct the associated toric variety X as a...
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Derivatives of Eisenstein series of weight 2 and intersections of modular correspondences
We give a formula for certain values and derivatives of Siegel series and use them to compute Fourier coefficients of derivatives of the Siegel...
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Equivariant Grothendieck ring of a complete symmetric variety of minimal rank
We describe the G -equivariant Grothendieck ring of a regular compactification X of an adjoint symmetric space G / H of minimal rank. This extends the...
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The strong Lefschetz property for complete intersections defined by products of linear forms
We prove the strong Lefschetz property for certain complete intersections defined by products of linear forms, using a characterization of the strong...
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Complete families of indecomposable non-simple abelian varieties
Given a fixed product of non-isogenous abelian varieties at least one of which is general, we show how to construct complete families of...
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On the Milnor and Tjurina Numbers of Zero-Dimensional Singularities
AbstractIn this paper we study relationships between some topological and analytic invariants of zero-dimensional germs, or multiple points. Among...
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On almost revlex ideals with Hilbert function of complete intersections
In this paper, we investigate the behavior of almost reverse lexicographic ideals with the Hilbert function of a complete intersection. More...
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Low dimensional modules over quantum complete intersections in two variables
We classify all the indecomposable modules of dimension ⩽ 5 over the quantum exterior algebra k 〈 x , y 〉/〈 x 2 , y 2 , xy + qyx 〉 in two variables, and all...
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Three Takes on Almost Complete Intersection Ideals of Grade 3
We are interested in the structure of almost complete intersection ideals of grade 3. We give three constructions of these ideals and their free...
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Hausdorff approximations and volume of tubes of singular algebraic sets
We prove bounds for the volume of neighborhoods of algebraic sets, in the euclidean space or the sphere, in terms of the degree of the defining...