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12 papers · 1 filter
Infinitesimal Variations of Hodge Structure at Infinity
Javier Fernandez, Eduardo Cattani
By analyzing the local and infinitesimal behavior of degenerating polarized variations of Hodge structure the notion of infinitesimal variation of Hodge structure at infinity is in…
Regularity and Segre-Veronese embeddings
David Cox, Evgeny Materov
This paper studies the regularity of certain coherent sheaves that arise naturally from Segre-Veronese embeddings of a product of projective spaces. We give an explicit formula for…
Quiver varieties and Beilinson-Drinfeld Grassmannians of type A
Ivan Mirković, Maxim Vybornov
We construct Nakajima's quiver varieties of type A in terms of conjugacy classes of matrices and (non-Slodowy's) transverse slices naturally arising from affine Grassmannians. In f…
Tate Resolutions for Segre Embeddings
David Cox, Evgeny Materov
We give an explicit description of the terms and differentials of the Tate resolution of sheaves arising from Segre embeddings of . We prove that the maps in this Tat…
Mixed Lefschetz Theorems and Hodge-Riemann Bilinear Relations
Eduardo Cattani
Statements analogous to the Hard Lefschetz Theorem (HLT) and the Hodge-Riemann bilinear relations (HRR) hold in a variety of contexts: they impose restrictions on the cohomology al…
Inducing stability conditions
Emanuele Macri, Sukhendu Mehrotra, Paolo Stellari
We study stability conditions induced by functors between triangulated categories. Given a finite group acting on a smooth projective variety we prove that the subset of invariant…