The Excess Intersection Formula and Gravitational Correlators

2000 ◽  
pp. 115-127
Author(s):  
Lars Ernström
Keyword(s):  
Intersection Formula

scholarly journals FINE DELIGNE–LUSZTIG VARIETIES AND ARITHMETIC FUNDAMENTAL LEMMAS

2019 ◽  
Vol 7 ◽  
Author(s):  
XUHUA HE ◽  
CHAO LI ◽  
YIHANG ZHU
Keyword(s):  
Fixed Points ◽  
Character Formula ◽  
Shimura Varieties ◽  
Fundamental Lemma ◽  
Residual Characteristic ◽  
Intersection Formula

We prove a character formula for some closed fine Deligne–Lusztig varieties. We apply it to compute fixed points for fine Deligne–Lusztig varieties arising from the basic loci of Shimura varieties of Coxeter type. As an application, we prove an arithmetic intersection formula for certain diagonal cycles on unitary and GSpin Rapoport–Zink spaces arising from the arithmetic Gan–Gross–Prasad conjectures. In particular, we prove the arithmetic fundamental lemma in the minuscule case, without assumptions on the residual characteristic.

scholarly journals Transversal intersection formula for compacta

1998 ◽  
Vol 85 (1-3) ◽  
pp. 93-117 ◽  
Author(s):  
A.N. Dranishnikov ◽  
D. Repovš ◽  
E.V. Ščepin
Keyword(s):  
Transversal Intersection ◽  
Intersection Formula

scholarly journals APPLICATIONS OF AN INTERSECTION FORMULA TO DUAL CONES

2017 ◽  
Vol 97 (1) ◽  
pp. 94-101
Author(s):  
DÁNIEL VIROSZTEK
Keyword(s):  
Banach Spaces ◽  
Duality Theorem ◽  
Extremal Problems ◽  
Positive Definite ◽  
Positive Definite Functions ◽  
Trigonometric Polynomials ◽  
Dual Cones ◽  
Intersection Formula

We give a succinct proof of a duality theorem obtained by Révész [‘Some trigonometric extremal problems and duality’, J. Aust. Math. Soc. Ser. A 50 (1991), 384–390] which concerns extremal quantities related to trigonometric polynomials. The key tool of our new proof is an intersection formula on dual cones in real Banach spaces. We show another application of this intersection formula which is related to integral estimates of nonnegative positive-definite functions.

scholarly journals A general intersection formula for Lagrangian cycles

2004 ◽  
Vol 140 (04) ◽  
pp. 1037-1052 ◽  
Author(s):  
Jörg Schürmann
Keyword(s):  
Intersection Formula

scholarly journals INFLATING BALLS IS NP-HARD

2011 ◽  
Vol 21 (04) ◽  
pp. 403-415
Author(s):  
GUILLAUME BATOG ◽  
XAVIER GOAOC
Keyword(s):  
Time Algorithm ◽  
Np Hard ◽  
Affine Subspace ◽  
Fixed Dimension ◽  
Equal Radius ◽  
Intersection Formula

A collection [Formula: see text] of balls in ℝd is δ-inflatable if it is isometric to the intersection [Formula: see text] of some d-dimensional affine subspace E with a collection [Formula: see text] of (d + δ)-dimensional balls that are disjoint and have equal radius. We give a quadratic-time algorithm to recognize 1-inflatable collections of balls in any fixed dimension, and show that recognizing δ-inflatable collections of d-dimensional balls is NP-hard for δ ≥ 2 and d ≥ 3 if the balls' centers and radii are given by numbers of the form [Formula: see text] where a, …, e are integers.

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