Results 1 to 10 of about 200 (27)
A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds [PDF]
Épijournal de Géométrie Algébrique, 2018 A vector bundle E on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. A theorem of Nori implies that E is finite if and only if the pullback of E to some finite etale Galois covering of ...
Indranil Biswas, Vamsi Pritham Pingali
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\'Etale triviality of finite equivariant vector bundles [PDF]
Épijournal de Géométrie Algébrique, 2021 Let H be a complex Lie group acting holomorphically on a complex analytic space X such that the restriction to X_{\mathrm{red}} of every H-invariant regular function on X is constant.
Indranil Biswas, Peter O'Sullivan
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Polystable bundles and representations of their automorphisms
Complex Manifolds, 2022 Using a quasi-linear version of Hodge theory, holomorphic vector bundles in a neighbourhood of a given polystable bundle on a compact Kähler manifold are shown to be (poly)stable if and only if their corresponding classes are (poly)stable in the sense of
Buchdahl Nicholas, Schumacher Georg
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Families of curves with Higgs field of arbitrarily large kernel
Bulletin of the London Mathematical Society, Volume 53, Issue 2, Page 493-506, April 2021., 2021 Abstract In this article, we consider the flat bundle U and the kernel K of the Higgs field naturally associated to any (polarized) variation of Hodge structures of weight 1. We study how strict the inclusion U⊆K can be in the geometric case. More precisely, for any smooth projective curve C of genus g⩾2 and any r=0,…,g−1, we construct non‐isotrivial ...
Víctor González‐Alonso, Sara Torelli
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Infant Mental Health Journal: Infancy and Early Childhood, Volume 42, Issue 1, Page 21-34, January/February 2021., 2021 ABSTRACT Parental reflective functioning (PRF) is an important predictor of infant attachment, and interventions that target parent–infant/toddler dyads who are experiencing significant problems have the potential to improve PRF. A range of dyadic interventions have been developed over the past two decades, some of which explicitly target PRF as part ...
Jane Barlow +2 more
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Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces
Complex Manifolds, 2021 We show that the zeroth cohomology of effective line bundles on del Pezzo and Hirzebruch surfaces can always be computed in terms of a topological index.
Brodie Callum R. +3 more
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L‐equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces
Bulletin of the London Mathematical Society, Volume 52, Issue 2, Page 395-409, April 2020., 2020 Abstract We construct non‐trivial L‐equivalence between curves of genus one and degree five, and between elliptic surfaces of multisection index five. These results give the first examples of L‐equivalence for curves (necessarily over non‐algebraically closed fields) and provide a new bit of evidence for the conjectural relationship between L ...
Evgeny Shinder, Ziyu Zhang
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Some applications of the theory of harmonic integrals
Complex Manifolds, 2015 In this survey, we present recent techniques on the theory of harmonic integrals to study the cohomology groups of the adjoint bundle with the multiplier ideal sheaf of singular metrics.
Matsumura Shin-ichi
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Positivity of Schur forms for strongly decomposably positive vector bundles
Forum of Mathematics, SigmaIn this paper, we define two types of strongly decomposable positivity, which serve as generalizations of (dual) Nakano positivity and are stronger than the decomposable positivity introduced by S. Finski.
Xueyuan Wan
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Invariant divisors and equivariant line bundles
Forum of Mathematics, SigmaScalar relative invariants play an important role in the theory of group actions on a manifold as their zero sets are invariant hypersurfaces. Relative invariants are central in many applications, where they often are treated locally since an invariant ...
Boris Kruglikov, Eivind Schneider
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