Results 1 to 10 of about 67 (65)
Cohomology Rings of Toric Bundles and the Ring of Conditions. [PDF]
Arnold Math J, 2023 The celebrated BKK Theorem expresses the number of roots of a system of generic Laurent polynomials in terms of the mixed volume of the corresponding system of Newton polytopes. In Pukhlikov and Khovanskiĭ (Algebra i Analiz 4(4):188–216, 1992), Pukhlikov
Hofscheier J, Khovanskii A, Monin L.
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Homological and combinatorial aspects of virtually Cohen–Macaulay sheaves
Transactions of the London Mathematical Society, 2021 When studying a graded module M over the Cox ring of a smooth projective toric variety X, there are two standard types of resolutions commonly used to glean information: free resolutions of M and vector bundle resolutions of its sheafification.
Christine Berkesch +3 more
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Affine Subspace Concentration Conditions [PDF]
Épijournal de Géométrie Algébrique, 2023 We define a new notion of affine subspace concentration conditions for lattice polytopes, and prove that they hold for smooth and reflexive polytopes with barycenter at the origin.
Kuang-Yu Wu
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Integral cohomology of quotients via toric geometry [PDF]
Épijournal de Géométrie Algébrique, 2022 We describe the integral cohomology of $X/G$ where $X$ is a compact complex manifold and $G$ a cyclic group of prime order with only isolated fixed points.
Grégoire Menet
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A polar dual to the momentum of toric Fano manifolds
Complex Manifolds, 2021 We introduce an invariant on the Fano polytope of a toric Fano manifold as a polar dual counterpart to the momentum of its polar dual polytope. Moreover, we prove that if the momentum of the polar dual polytope is equal to zero, then the dual invariant ...
Sano Yuji
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Fano-type surfaces with large cyclic automorphisms
Forum of Mathematics, Sigma, 2021 We give a characterisation of Fano-type surfaces with large cyclic automorphisms. As an application, we give a characterisation of Kawamata log terminal $3$ -fold singularities with large class groups of rank at least $2$ .
Joaquín Moraga
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Virasoro constraints for moduli spaces of sheaves on surfaces
Forum of Mathematics, Sigma, 2023 We introduce a conjecture on Virasoro constraints for the moduli space of stable sheaves on a smooth projective surface. These generalise the Virasoro constraints on the Hilbert scheme of a surface found by Moreira and Moreira, Oblomkov, Okounkov and ...
Dirk van Bree
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The moduli space of Harnack curves in toric surfaces
Forum of Mathematics, Sigma, 2021 In 2006, Kenyon and Okounkov Kenyon and Okounkov [12] computed the moduli space of Harnack curves of degree d in ${\mathbb {C}\mathbb {P}}^2$. We generalise their construction to any projective toric surface and show that the moduli space ${\mathcal {H}_\
Jorge Alberto Olarte
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ON TORUS ACTIONS OF HIGHER COMPLEXITY
Forum of Mathematics, Sigma, 2019 We systematically produce algebraic varieties with torus action by constructing them as suitably embedded subvarieties of toric varieties. The resulting varieties admit an explicit treatment in terms of toric geometry and graded ring theory. Our approach
JÜRGEN HAUSEN +2 more
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Configurations of infinitely near points
, 2009 We present a survey of some aspects and new results on configurations, i.e. disjoint unions of constellations of infinitely near points, local and global theory, with some applications and results on generalized Enriques diagrams, singular foliations ...
Gonzalez-Sprinberg, G. +2 more
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