Results 11 to 20 of about 515 (73)
Convergence of the mirror to a rational elliptic surface
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]
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
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
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
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]
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
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
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
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]
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

