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19942026
most citedGerms of arcs on singular algebraic varieties and motivic integration

209 citations

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4 papers · 2 filters

math.AG2024

Equivariant rigidity of Richardson varieties

Anders S. Buch, Pierre-Emmanuel Chaput, Nicolas Perrin

We prove that Schubert and Richardson varieties in flag manifolds are uniquely determined by their equivariant cohomology classes, as well as a stronger result that replaces Schube…

math.AG2024

On Harder-Narasimhan slopes of direct images

Siarhei Finski

For a flat family of complex projective varieties, we study the asymptotic distribution of the Harder-Narasimhan slopes of the direct images on the base of high tensor powers of a…

math.AG2024

Quantum K-theory of IG(2, 2n)

Vladimiro Benedetti, Nicolas Perrin, Weihong Xu

We prove that the Schubert structure constants of the quantum K-theory rings of symplectic Grassmannians of lines have signs that alternate with codimension and vanish for degrees…

math.AG2024

Kodaira-Saito vanishing for the irregular Hodge filtration

Claude Sabbah

After making correct, and then improving, our definition of the category of irregular mixed Hodge modules thanks to Mochizuki's recent results arXiv:2108.03843, we show how these r…