Decomposition theorem and torus actions of complexity one
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Publication:2024096
DOI10.1007/s40879-020-00408-xzbMath1464.32047arXiv1808.03191OpenAlexW3030789847MaRDI QIDQ2024096
Kevin Langlois, Marta Agustin Vicente
Publication date: 3 May 2021
Published in: European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.03191
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Group actions on varieties or schemes (quotients) (14L30) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60)
Cites Work
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- Integral closure and operations of algebraic tori of complexity 1 in affine varieties
- Upgrading and downgrading torus actions
- Fano threefolds with 2-torus action
- The Cox ring of a complexity-one horospherical variety
- Canonical singularities and horospherical actions
- Homogeneous spaces and equivariant embeddings
- Polarized complexity-1 T-varieties
- Toroidal embeddings. I
- Intersection homology. II
- Polyhedral divisors and algebraic torus actions
- \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
- Local \(h\)-polynomials, invariants of subdivisions, and mixed Ehrhart theory
- Gluing affine torus actions via divisorial fans
- Rational intersection cohomology of quotient varieties
- Intersection homology of toric varieties and a conjecture of Kalai
- Weights of exponential sums, intersection cohomology, and Newton polyhedra
- Representations of reductive groups over finite fields
- Rational smoothness and fixed points of torus actions
- Equivariant sheaves and functors
- Equivariant completion
- Sheaves in topology
- The intersection cohomology of the Satake compactification of \(\mathcal {A}_g\) for \(g \leq 4\)
- On intersection cohomology with torus actions of complexity one
- Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry
- Combinatorics and topology of proper toric maps
- On the classification of normal \(G\)-varieties with spherical orbits
- Polyhedral divisors and torus actions of complexity one over arbitrary fields
- Merging divisorial with colored fans
- Quotients of an affine variety by an action of a torus
- A fansy divisor on \(\overline {M}_{0,n}\)
- On the geometry of normal horospherical G-varieties of complexity one
- The arc space of horospherical varieties and motivic integration
- Toroidal embeddings and polyhedral divisors
- Rational intersection cohomology of projective toric varieties.
- Proper Toric Maps Over Finite Fields
- Classification of G -varieties of complexity 1
- The geometry of <var>T</var>-varieties
- On the topology of rational T-varieties of complexity one
- Stringy invariants for horospherical varieties of complexity one
- Hodge genera of algebraic varieties I