Results 41 to 50 of about 5,434 (88)

On the Berezinian of a moduli space of curves in P^{n|n+1}

open access: yes, 2006
A supermanifold P^{3|4} is a target space for twistor string theory. In this note we identify a line bundle of holomorphic volume elements BerM_gP^{3|4} defined on the moduli space of curves of genus g in P^{3|4} with a pullback of a line bundle defined ...
Movshev, M.
core  

Generically surjective morphisms of holomorphic vector bundles via degenerations

open access: yes
We prove an $L^2$ theorem on generically surjective morphism of holomorphic vector bundles via a degeneration argument, generalizing the author's previous work on the $L^2$ division theorem of Skoda. The proof is based on Berndtsson's theorem on the positivity of direct image bundles and is inspired by Berndtsson and Lempert's proof of the $L^2 ...
openaire   +2 more sources

Runge approximation on convex sets implies the Oka property

open access: yes, 2005
We prove that the classical Oka property of a complex manifold Y, concerning the existence and homotopy classification of holomorphic mappings from Stein manifolds to Y, is equivalent to a Runge approximation property for holomorphic maps from compact ...
Forstneric, Franc
core  

Categorical Torelli theorems: results and open problems. [PDF]

open access: yesRend Circ Mat Palermo, 2023
Pertusi L, Stellari P.
europepmc   +1 more source

Opers versus nonabelian Hodge

open access: yes, 2016
For a complex simple simply connected Lie group $G$, and a compact Riemann surface $C$, we consider two sorts of families of flat $G$-connections over $C$. Each family is determined by a point ${\mathbf u}$ of the base of Hitchin's integrable system for $
Dumitrescu, Olivia   +5 more
core  

Pollicott-Ruelle Resonant States and Betti Numbers. [PDF]

open access: yesCommun Math Phys, 2020
Küster B, Weich T.
europepmc   +1 more source

Twistor theory at fifty: from contour integrals to twistor strings. [PDF]

open access: yesProc Math Phys Eng Sci, 2017
Atiyah M, Dunajski M, Mason LJ.
europepmc   +1 more source

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