Results 101 to 110 of about 1,232 (194)
Birational Geometry of Matroids and Abstract Hyperplane Arrangements [PDF]
, 2023 A matroid is a machine capturing linearity of mathematical objects and producing combinatorial structures. Matroid structure arises everywhere since linearity is a ubiquitous concept.
Shin, Jaeho
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Application of hyperplane arrangements to weight enumeration [PDF]
, 2014 Many research in coding theory is focussed on linear error-correcting codes. Since these codes are subspaces, linear algebra plays a prominent role in studying them.
Jurrius, RPMJ Relinde +3 more
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The facial weak order on hyperplane arrangements [PDF]
, 2019 We extend the facial weak order from finite Coxeter groups to central hyperplane arrangements. The facial weak order extends the poset of regions of a hyperplane arrangement to all its faces.
Hohlweg, Christophe +3 more
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Hyperplane arrangements of Torelli type [PDF]
, 2013 International audienceWe give a necessary and sufficient condition in order for a hyperplane arrangement to be of Torelli type, namely that it is recovered as the set of unstable hyperplanes of its Dolgachev sheaf of logarithmic differentials ...
Matei, Daniel +2 more
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Hyperplane arrangements of Torelli type [PDF]
, 2010 We give a necessary and sufficient condition in order for a hyperplane arrange-ment to be of Torelli type, namely that it is recovered as the set of unstable hyperplanes of its Dolgachev sheaf of logarithmic differentials.
Daniel Matei +2 more
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Deformations of Coxeter hyperplane arrangements and their characteristic polynomials [PDF]
, 1998 Let A be a Coxeter hyperplane arrangement, that is the arrangement of reflecting hyperplanes of an irreducible finite Coxeter group. A deformation of A is an affine arrangement each of whose hyperplanes is parallel to some hyperplane of A. We survey some
Christos A. Athanasiadis
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Computing the Tutte Polynomial of hyperplane arrangements [PDF]
, 2009 textWe are studying the Tutte Polynomial of hyperplane arrangements. We discuss some previous work done to compute these polynomials. Then we explain our method to calculate the Tutte Polynomial of some arrangements more efficiently.
Geldon, Todd Wolman
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Hyperplane Arrangements with Large Average Diameter [PDF]
, 2007 This thesis deals with combinatorial properties of hyperplane arrangements. In particular, we address a conjecture of Deza, Terlaky and Zinchenko stating that the largest possible average diameter of a bounded cell of a simple hyperplane arrangement is ...
Xie, Feng
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Bruhat Order and Coxeter Hyperplane Arrangements [PDF]
, 2018 In the paper “Bruhat order, rationally smooth Schubert varieties, and hyperplane arrangements,” S. Oh and H. Yoo studied Schubert varieties in generalized flag manifolds by linking them with a certain hyperplane arrangement coming from the reflection ...
McAlmon, Robert
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Projection volumes of hyperplane arrangements [PDF]
, 2010 We prove that for any finite real hyperplane arrangement the average projection volumes of the maximal cones is given by the coefficients of the characteristic polynomial of the arrangement. This settles the conjecture of Drton and Klivans that this held
Caroline J. Klivans, Ed Swartz
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