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Locally Finite Completions of Polyhedral Complexes
We develop a method for subdividing polyhedral complexes in a way that restricts the possible recession cones and allows one to work with a fixed...
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Finite dimensional varieties over the Heisenberg group
Spectral analysis and synthesis studies translation invariant function spaces, so-called varieties over topological groups. The basic building blocks...
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Arithmetic Varieties of Numerical Semigroups
In this paper we present the notion of arithmetic variety for numerical semigroups. We study various aspects related to these varieties such as the...
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Aperiodic Rees–Suschkewitsch Varieties
A positive solution to the finite basis problem for all aperiodic Rees–Suschkewitsch varieties and a complete description of those that are either...
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Segre Varieties
In this chapter we develop the necessary machinery for working with Segre varieties associated with real analytic hypersurfaces and give some...
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Singular contact varieties
In this note we propose the generalization of the notion of a holomorphic contact structure on a manifold (smooth variety) to varieties with rational...
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The Cohomology of Locally Symmetric Spaces
We discuss how automorphic representation theory controls the cohomology of arithmetic locally symmetric spaces.
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BOTT–SAMELSON–DEMAZURE–HANSEN VARIETIES FOR PROJECTIVE HOMOGENEOUS VARIETIES WITH NONREDUCED STABILIZERS
Over a field of positive characteristic, a semisimple algebraic group G may have some nonreduced parabolic subgroup P . In this paper, we study the...
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On bases of identities of finite central locally orthodox completely regular semigroups
It has been known for a long time that every finite orthodox completely regular semigroup has a finite basis of identities, and that every finite...
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Grothendieck Ring of Pairs of Quasi-Projective Varieties
AbstractWe define a Grothendieck ring of pairs of complex quasi-projective varieties (consisting of a variety and a subvariety). We describe
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Para-Abelian Varieties and Albanese Maps
We construct for every proper algebraic space over a ground field an Albanese map to a para-abelian variety, which is unique up to unique...
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Degrees of some orthogonal Deligne–Lusztig varieties
We show a degree formula for a type of orthogonal Deligne–Lusztig varieties and their Plücker embeddings. This is an analog of work of Li on a...
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Applications of homogeneous fiber bundles to the Schubert varieties
This article explores the relationship between Schubert varieties and equivariant embeddings, using the framework of homogeneous fiber bundles over...
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On character varieties of singular manifolds
In this paper, we construct a lax monoidal Topological Quantum Field Theory that computes virtual classes, in the Grothendieck ring of algebraic...
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Degenerated Calabi–Yau varieties with infinite components, moduli compactifications, and limit toroidal structures
For any degenerating Calabi–Yau family, we introduce a new limit space which we call galaxy , whose dense subspace is the disjoint union of countably...
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Lefschetz-type theorems for the effective cone on Hyperkähler varieties
In this paper we show some Lefschetz-type theorems for the effective cone of Hyperkähler varieties. In particular we are able to show that the...
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Relative Bott–Samelson Varieties
We prove that, defined with respect to versal flags, the product of two relative Bott–Samelson varieties over a flag bundle is a resolution of...
