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Structure of Modular Lattices of Width Four with Applications to Varieties of Lattices
Filtrations on the Homology of Algebraic Varieties
Describes some foundational aspects of 'Lawson homology' for complex projective algebraic varieties, a homology theory defined in terms of homotopy groups of spaces of algebraic …
Dimensions of Affine Deligne-lusztig Varieties
Adelic Divisors on Arithmetic Varieties
In this article, the author generalizes several fundamental results for arithmetic divisors, such as the continuity of the volume function, the generalized Hodge index theorem, …
Affine Flag Varieties and Quantum Symmetric Pairs
The quantum groups of finite and affine type $A$ admit geometric realizations in terms of partial flag varieties of finite and affine type $A$. Recently, the quantum group …
Paley-Wiener Theorems for a $p$-Adic Spherical Variety
Theta Functions on Varieties with Effective Anti-Canonical Class
Higher Ramanujan Equations and Periods of Abelian Varieties
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