Results 1 to 10 of about 48 (48)
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
doaj +1 more source
Automorphisms of $\mathbb{P}^1$-bundles over rational surfaces [PDF]
Épijournal de Géométrie Algébrique, 2023 In this paper we provide the complete classification of $\mathbb{P}^1$-bundles over smooth projective rational surfaces whose neutral component of the automorphism group is maximal.
Jérémy Blanc +2 more
doaj +1 more source
Curve counting and S-duality [PDF]
Épijournal de Géométrie Algébrique, 2023 We work on a projective threefold $X$ which satisfies the Bogomolov-Gieseker conjecture of Bayer-Macr\`i-Toda, such as $\mathbb P^3$ or the quintic threefold.
Soheyla Feyzbakhsh, Richard P. Thomas
doaj +1 more source
Quot-scheme limit of Fubini-Study metrics and Donaldson's functional for vector bundles [PDF]
Épijournal de Géométrie Algébrique, 2022 For a holomorphic vector bundle $E$ over a polarised K\"ahler manifold, we establish a direct link between the slope stability of $E$ and the asymptotic behaviour of Donaldson's functional, by defining the Quot-scheme limit of Fubini-Study metrics.
Yoshinori Hashimoto, Julien Keller
doaj +1 more source
The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties [PDF]
Épijournal de Géométrie Algébrique, 2021 We show that all reduced closed subschemes of projective space that have a Cohen-Macaulay graded coordinate ring are of wild Cohen-Macaulay type, except for a few cases which we completely classify.
Daniele Faenzi, Joan Pons-Llopis
doaj +1 more source
CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO [PDF]
Épijournal de Géométrie Algébrique, 2019 We show that compact complex manifolds of algebraic dimension zero bearing a holomorphic Cartan geometry of algebraic type have infinite fundamental group.
Indranil Biswas +2 more
doaj +1 more source
Strictly nef vector bundles and characterizations of ℙn
Complex Manifolds, 2021 In this note, we give a brief exposition on the differences and similarities between strictly nef and ample vector bundles, with particular focus on the circle of problems surrounding the geometry of projective manifolds with strictly nef bundles.
Liu Jie, Ou Wenhao, Yang Xiaokui
doaj +1 more source
Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve
Forum of Mathematics, Sigma, 2023 We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree.
Kyoung-Seog Lee, Han-Bom Moon
doaj +1 more source
Kobayashi—Hitchin correspondence for twisted vector bundles
Complex Manifolds, 2021 We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
doaj +1 more source
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
doaj +1 more source