Concept

Intersection number

Publications associées (20)

Counting Sheaves Using Spherical Codes

Using the Riemann Hypothesis over finite fields and bounds for the size of spherical codes, we give explicit upper bounds, of polynomial size with respect to the size of the field, for the number of geometric isomorphism classes of geometrically irreducibl ...

International Press2013

Complete intersections in rational homotopy theory

Kathryn Hess Bellwald

We investigate various homotopy invariant formulations of commutative algebra in the context of rational homotopy theory. The main subject is the complete intersection condition, where we show that a growth condition implies a structure theorem and that mo ...

Elsevier2013

Micro-simulation Modeling of Coordination of Automated Guided Vehicles at Intersection

Denis Gillet, André-Gilles Dumont, Laleh Makarem, Minh Hai Pham

One of the challenges with autonomous vehicles is their performance at intersections. An alternative control method for the coordination of autonomous vehicles at intersections is shown. The proposed approach was grounded in multiple-robot coordination and ...

National Academy of Sciences2012

Collision-Free Intersection Crossing of Mobile Robots Using Decentralized Navigation Functions on Predefined Paths

Denis Gillet, Laleh Makarem, Benjamin Fankhauser

This paper deals with the coordination of a group of mobile robots at an intersection. It focusses on decentralized navigation functions (DNFs) to achieve efficient traffic control. The main challenge is to define virtual potentials, which are used by dece ...

2011

Tangencies between families of disjoint regions in the plane

János Pach

Let C be a family of n convex bodies in the plane, which can be decomposed into k subfamilies of pairwise disjoint sets. It is shown that the number of tangencies between the members of C is at most O(kn), and that this bound cannot be improved. If we only ...

2010

Constructing de Sitter vacua in no-scale string models without uplifting

Claudio Scrucca

We develop a method for constructing metastable de Sitter vacua in N = 1 supergravity models describing the no-scale volume moduli sector of Calabi-Yau string compactifications. We consider both heterotic and orientifold models. Our main guideline is the n ...

Springer Nature2009

A vanishing theorem for oriented intersection multiplicities

Jean Fasel

Let A be a regular local ring containing 1/2, which is either equicharacteristic, or is smooth over a d.v.r. of mixed characteristic. We prove that the product maps on derived Grothendieck-Witt groups of A satisfy the following property: given two elements ...

2008

Interactive spaces

Jeffrey Huang, Muriel Waldvogel

How do conceptions of space change with the infiltration of new elements of interactivity into our surroundings? What are the effects of digitalization on typological, tectonic and ornamental changes in contemporary architecture and cities? What are the ne ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2008

Mechanical control of fluids in micro-analytical devices

Hubert Girault, Joël Stéphane Rossier, Joël Rossier, Xiaoxia Bai

An apparatus for manipulating fluid samples comprises a micro-chip device having first and second covered channels, each channel having openings at both ends. The channels intersect to form a common intersection. Three of the openings of the channels are c ...

2006

Fabrication de capteurs pyroelectriques comprenant une couche pyroelectrique mince necessitant une polarisation electrique

Paul Muralt

The method for group manufacturing of pyroelectric sensors by forming a thin pyroelectric layer on the upper side of a silicon wafer, where each sensor comprises several pixels (4) and each pixel is defined by an upper electrode (6) situated on the face si ...

2006