Severi varieties and their varieties of reductions

DOI10.1515/crll.2005.2005.585.93zbMath1083.14060arXivmath/0306328OpenAlexW2028416696MaRDI QIDQ5314164

Atanas Iliev, Laurent Manivel

Publication date: 5 September 2005

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306328

zbMATH Keywords

secant spaces

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Classical groups (algebro-geometric aspects) (14L35) Fano varieties (14J45) Projective techniques in algebraic geometry (14N05) Composition algebras (17A75)

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A classification of subgroups of \(SL(4, \mathbb{R})\) isomorphic to \(\mathbb{R}^3\) and generalized cusps in projective 3 manifolds ⋮ Complete intersection Calabi-Yau manifolds with respect to homogeneous vector bundles on Grassmannians ⋮ Fano congruences of index 3 and alternating 3-forms ⋮ Abelian tensors ⋮ Perverse schobers and birational geometry ⋮ Concise tensors of minimal border rank ⋮ Chabauty compactification of the space of Cartan subgroups of \(\mathrm{SL}_n(\mathbb R)\) ⋮ Visual limits of maximal flats in symmetric spaces and Euclidean buildings ⋮ Geometry of the genus 9 Fano 4-folds ⋮ Pfaffian bundles on cubic surfaces and configurations of planes ⋮ A classification theorem on Fano bundles ⋮ The variety of reductions for a reductive symmetric pair ⋮ Limits under conjugacy of the diagonal subgroup in 𝑆𝐿_{𝑛}(ℝ) ⋮ Chabauty limits of diagonal Cartan subgroups of \(\mathrm{SL}(n, \mathbb{Q}_p)\)

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