Perverse sheaves are the objects in the latter that correspond to individual D-modules (and not more general complexes thereof); a perverse sheaf is...

number of authors). Coherent sheaf Gerbe Stack (mathematics) Sheaf of spectra Perverse sheaf Presheaf of spaces Constructible sheaf De Rham's theorem Eisenbud...

vanishing theorem Moduli of algebraic curves Motive (algebraic geometry) Perverse sheaf Riemann–Hilbert correspondence Serre's modularity conjecture Standard...

Borel–Moore homology Topologically stratified space Intersection theory Perverse sheaf Mixed Hodge structure Warning: there is more than one convention for...

In mathematics, the stalk of a sheaf is a mathematical construction capturing the behaviour of a sheaf around a given point. Sheaves are defined on open...

D-module ( M , F ∙ ) {\displaystyle (M,F^{\bullet })} together with a perverse sheaf F {\displaystyle {\mathcal {F}}} such that the functor from the Riemann–Hilbert...

applications stemmed from the original idea, for example the concept of perverse sheaf in homological algebra. The theory mentioned above does not directly...

factor and preserve the conical radium.[citation needed] Equisingularity Perverse sheaf Stratified Morse theory Harder–Narasimhan stratification Flattening...

a ring Vanishing cycle Gauss–Manin connection Differential algebra Perverse sheaf Mikio Sato Masaki Kashiwara Lars Hörmander Kashiwara & Kawai 2011, pp...

constructible and perverse sheaves. Let X be a topological space. A local system (of abelian groups/modules...) on X is a locally constant sheaf (of abelian...

category have not been classified. Fourier–Mukai transform Six operations Perverse sheaf D-module Beilinson–Bernstein localization Module spectrum Semiorthogonal...

Masaki Kashiwara. The methods of D-module theory have always been drawn from sheaf theory and other techniques with inspiration from the work of Alexander...

resolution of a sheaf is a construction in homological algebra that allows one to view global, cohomological information about the sheaf in terms of local...

space Ω X {\displaystyle \Omega X} . See also mapping path space. perverse A perverse sheaf. phantom map phantom map piecewise algebraic space piecewise algebraic...

t-structure arose in the work of Beilinson, Bernstein, Deligne, and Gabber on perverse sheaves. Fix a triangulated category D {\displaystyle {\mathcal {D}}} with...

the sheaf of rings on G/B formed by taking the *-pushforward of DG/U along the T-bundle G/U → G/B, a sheaf of rings whose center is the constant sheaf of...

square of topological spaces and F {\displaystyle {\mathcal {F}}} is a sheaf on X. Such theorems exist in different branches of geometry: for (essentially...

singularities. It is commonly encountered when studying constructible or perverse sheaves. Verdier duality states that (subject to suitable finiteness conditions...

Borel–Weil–Bott construction of representations of algebraic groups using coherent sheaf cohomology is also similar. For real semisimple groups there is an analogue...

Satake isomorphism. As Ginzburg said (Ginzburg 2000), "geometric" stands for sheaf theoretic. In order to obtain the geometric version of Satake isomorphism...

ISSN 0271-4132. LCCN 96-37049. MR 1436913. Retrieved 2021-12-08. George Whitehead; Fifty years of homotopy theory Haynes Miller; The origin of sheaf theory...

any particularly ripe schoolgirl ... Writing about grown women is less perverse and therefore less satisfying". Booth finds the poems the most impressive...

In mathematics, especially in sheaf theory—a domain applied in areas such as topology, logic and algebraic geometry—there are four image functors for...

Voice Through a Cloud in 1950; a further short story collection, A Last Sheaf, in 1951; The Denton Welch Journals in 1952; an unfinished travelogue, I...

generalization of the Weil conjectures, bounding the weights of the pushforward of a sheaf. Suppose that X is a non-singular n-dimensional projective algebraic variety...

Britain also has pre-Christian roots when the Saxons would offer the first sheaf of barley, oats, or wheat to fertility gods. When the harvest was finally...

cohomology of degree 2i, and then take the dimension of the stalk of this sheaf at any point of the cell Xy whose closure is the Schubert variety of y....

of grapes (as in Leviticus 19:10 and Deuteronomy 24:21), the forgotten sheaf (as in Deuteronomy 24:19), the corner of the field (as in Leviticus 19:9...

ISBN 978-1-4612-8476-5) Matrix Analysis, Rajendra Bhatia (1997, ISBN 978-0-387-94846-1) Sheaf Theory, Glen E. Bredon (1997, 2nd ed., ISBN 978-0-387-94905-5) Riemannian...

the day after the day of rest of Passover, the day that they brought the sheaf of barley for waving. Similarly, Deuteronomy 16:9 directs counting seven...