Results 1 to 10 of about 8,166 (77)

Non-countable dimensions of cohomology groups of analytic sheaves and domains of holomorphy

Mathematische Zeitschrift, 1967
Yum-Tong Siu
openaire   +3 more sources

Variation of the holomorphic determinant bundle [PDF]

, 2012
In this paper, we prove that the Grothendieck-Riemann-Roch formula in Deligne cohomology computing the determinant of the cohomology of a holomorphic vector bundle on the fibers of a proper submersion between abstract complex manifolds is invariant by ...
Grivaux, Julien
core   +5 more sources

D-branes, B fields, and Ext groups [PDF]

, 2003
In this paper we extend previous work on calculating massless boundary Ramond sector spectra of open strings to include cases with nonzero flat B fields.
Caldararu, A., Katz, S., Sharpe, E.
core   +3 more sources

Rigid rational homotopy types [PDF]

, 2017
In this paper we define a rigid rational homotopy type, associated to any variety $X$ over a perfect field $k$ of positive characteristic. We prove comparison theorems with previous definitions in the smooth and proper, and log-smooth and proper case ...
Lazda, Christopher
core   +1 more source

Continuity properties of measurable group cohomology

, 2012
A version of group cohomology for locally compact groups and Polish modules has previously been developed using a bar resolution restricted to measurable cochains.
A Hatcher, A Onishchik, A Weil, Calvin C. Moore, CC Moore, CC Moore, CC Moore, D Montgomery, D Wigner, E Michael, E Michael, G Hochschild, G Hochschild, G Willis, GEF Thomas, GW Mackey, J-L Tu, KH Hofmann, M Flach, N Yoneda, Tim Austin, W Est van, W Rudin, Y Benyamini, Y Cornulier de   +24 more
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The Development of Intersection Homology Theory

, 2006
This historical introduction is in two parts. The first is reprinted with permission from ``A century of mathematics in America, Part II,'' Hist. Math., 2, Amer. Math. Soc., 1989, pp.543-585. Virtually no change has been made to the original text.
Kleiman, Steven L.
core   +4 more sources

The Borel-Weil theorem for reductive Lie groups

, 2015
In this manuscript we consider the extent to which an irreducible representation for a reductive Lie group can be realized as the sheaf cohomolgy of an equivariant holomorphic line bundle defined on an open invariant submanifold of a complex flag space ...
Araujo, José, Bratten, Tim
core   +1 more source

From Sheaf Cohomology to the Algebraic de Rham Theorem

, 2014
Let X be a smooth complex algebraic variety with the Zariski topology, and let Y be the underlying complex manifold with the complex topology. Grothendieck's algebraic de Rham theorem asserts that the singular cohomology of Y with complex coefficients ...
Tu, Loring W., Zein, Fouad El
core   +1 more source

Automorphisms and autoequivalences of generic analytic K3 surfaces

, 2007
This is a systematic exposition of recent results which completely describe the group of automorphisms and the group of autoequivalences of generic analytic K3 surfaces.
Macri, Emanuele, Stellari, Paolo
core   +1 more source

Arithmetic Intersection Theory on Deligne-Mumford Stacks

, 2009
The arithmetic Chow groups and their product structure are extended from the category of regular arithmetic varieties to regular Deligne-Mumford stacks over the ring of integers in a number field.Comment: 17 pages. Exposition improved.
Gillet, Henri
core   +1 more source