Results 11 to 20 of about 515 (73)

Convergence of the mirror to a rational elliptic surface

open access: yesTransactions of the London Mathematical Society, 2021
The construction introduced by Gross, Hacking and Keel in (Several Complex Variables (Springer, New York, NY, 1976))allows one to construct a formal mirror family to a pair (S,D) where S is a smooth rational projective surface and D a certain type of ...
Lawrence Jack Barrott
doaj   +2 more sources

The local motivic DT/PT correspondence. [PDF]

open access: yesJ Lond Math Soc, 2021
Abstract We show that the Quot scheme QLn=QuotA3(IL,n) parameterising length n quotients of the ideal sheaf of a line in A3 is a global critical locus, and calculate the resulting motivic partition function (varying n), in the ring of relative motives over the configuration space of points in A3.
Davison B, Ricolfi AT.
europepmc   +2 more sources

Maternal mental health and infant neurodevelopment at 6 months in a low‐income South African cohort

open access: yesInfant Mental Health Journal: Infancy and Early Childhood, Volume 43, Issue 6, Page 849-863, November 2022., 2022
Abstract Maternal mental health disorders and the adverse consequences for infant neurodevelopment have received substantial research attention in high‐income countries over the past five decades. In Africa, where relatively little work has been done on this topic, researchers have largely focused on infant physical health outcomes.
Marlette Burger   +4 more
wiley   +1 more source

F‐Manifolds and geometry of information

open access: yesBulletin of the London Mathematical Society, Volume 52, Issue 5, Page 777-792, October 2020., 2020
Abstract The theory of F‐manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since the 1990s. The focus of this paper consists in the demonstration that various
Noémie Combe, Yuri I. Manin
wiley   +1 more source

E8 spectral curves

open access: yesProceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020
Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
wiley   +1 more source

Curve counting and S-duality [PDF]

open access: yesÉpijournal 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

THE KATZ–KLEMM–VAFA CONJECTURE FOR $K3$ SURFACES

open access: yesForum of Mathematics, Pi, 2016
We prove the KKV conjecture expressing Gromov–Witten invariants of $K3$ surfaces in terms of modular forms.
R. PANDHARIPANDE, R. P. THOMAS
doaj   +1 more source

Localizing virtual structure sheaves for almost perfect obstruction theories

open access: yesForum of Mathematics, Sigma, 2020
Almost perfect obstruction theories were introduced in an earlier paper by the authors as the appropriate notion in order to define virtual structure sheaves and K-theoretic invariants for many moduli stacks of interest, including K-theoretic Donaldson ...
Young-Hoon Kiem, Michail Savvas
doaj   +1 more source

Frobenius splitting of Schubert varieties of semi-infinite flag manifolds

open access: yesForum of Mathematics, Pi, 2021
We exhibit basic algebro-geometric results on the formal model of semi-infinite flag varieties and its Schubert varieties over an algebraically closed field ${\mathbb K}$ of characteristic $\neq 2$ from scratch.
Syu Kato
doaj   +1 more source

The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces [PDF]

open access: yes, 2012
We show that the Quantum Lefschetz Hyperplane Principle can fail for certain orbifold hypersurfaces and complete intersections.
Coates, Tom   +5 more
core   +2 more sources

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