ON A THEOREM OF BRADEN

By V. Drinfeld, D. Gaitsgory. 2013

67 citations recorded by the source corpus.

We give a new proof of Braden’s theorem ([Br]) about hyperbolic restrictions of constructible sheaves/D-modules. The main geometric ingredient in the proof is a 1-parameter family that degenerates a given scheme Z equipped with a $$ {\mathbb G} $$m-action to the product of the attractor and repeller loci.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/180af5186a396bd44b9599efeb3bbf849e4807d8

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

On the structure of instability in moduli theory (2014, methodology): “en cover, then this is a special case of the main theorem of section 4 of [H3] for which the “center” is C= Xand the “speed” is m= 1. The general statement of the existence of Y is the main result of [DG]. Remark 1.16. We say that an algebraic group Gacting on a scheme Xis locally aﬃne if for every ”
Perverse sheaves over real hyperplane arrangements (2014, background): “(See also [12] for a more in-depth treatment.”
On algebraic spaces with an action of G_m (2013, methodology): “sms p±: Z±→Z are closed embeddings. Let us also mention Proposition 1.6.2, which says that the morphism j := (i+,i−) : Z0 →Z+ × Z Z− is an open embedding (and also a closed one). This fact is used in [DrGa1] to construct the co-unit of the adjunction in Braden’s theorem. Of course, in the case where”