[图书][B] Undergraduate Texts in Mathematics
In Chapter 1, we have seen how the algebra of the polynomial rings k [x1,..., xn] and the
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …
[图书][B] Convex and discrete geometry
PM Gruber - 2007 - Springer
Convex and Discrete Geometry is an area of mathematics situated between analysis,
geometry and discrete mathematics with numerous relations to other areas. The book gives …
geometry and discrete mathematics with numerous relations to other areas. The book gives …
Chord measures in integral geometry and their Minkowski problems
To the families of geometric measures of convex bodies (the area measures of Aleksandrov‐
Fenchel‐Jessen, the curvature measures of Federer, and the recently discovered dual …
Fenchel‐Jessen, the curvature measures of Federer, and the recently discovered dual …
[图书][B] Computing the continuous discretely: Integer-point enumeration in polyhedra
The world is continuous, but the mind is discrete. David Mumford We seek to bridge some
critical gaps between various? elds of mathematics by studying the interplay between the …
critical gaps between various? elds of mathematics by studying the interplay between the …
The logarithmic Minkowski problem for non-symmetric measures
Recently, Böröczky, Lutwak, Yang, and Zhang [J. Amer. Math. Soc. 26 (2013), pp. 831–852]
established necessary and sufficient conditions for the existence of solutions to the …
established necessary and sufficient conditions for the existence of solutions to the …
On the discrete logarithmic Minkowski problem
On the Discrete Logarithmic Minkowski Problem | International Mathematics Research
Notices | Oxford Academic Skip to Main Content Advertisement Oxford Academic Journals …
Notices | Oxford Academic Skip to Main Content Advertisement Oxford Academic Journals …
Subspace concentration of dual curvature measures of symmetric convex bodies
KJ Böröczky, M Henk, H Pollehn - Journal of Differential Geometry, 2018 - projecteuclid.org
SUBSPACE CONCENTRATION OF DUAL CURVATURE MEASURES OF SYMMETRIC
CONVEX BODIES Károly J. Böröczky, Martin Henk & Hannes Pol Page 1 j. differential …
CONVEX BODIES Károly J. Böröczky, Martin Henk & Hannes Pol Page 1 j. differential …
Dar's conjecture and the log–Brunn–Minkowski inequality
D Xi, G Leng - Journal of Differential Geometry, 2016 - projecteuclid.org
In 1999, Dar conjectured that there is a stronger version of the celebrated Brunn-Minkowski
inequality. However, as pointed out by Campi, Gardner, and Gronchi in 2011, this problem …
inequality. However, as pointed out by Campi, Gardner, and Gronchi in 2011, this problem …
[HTML][HTML] Cone-volume measure of general centered convex bodies
KJ Böröczky, M Henk - Advances in Mathematics, 2016 - Elsevier
We show that the cone-volume measure of a convex body with centroid at the origin satisfies
the subspace concentration condition. This extends former results obtained in the discrete …
the subspace concentration condition. This extends former results obtained in the discrete …
[HTML][HTML] The Lp-Minkowski problem for− n< p< 1
Chou and Wang's existence result for the L p-Minkowski problem on S n− 1 for p∈(− n, 1)
and an absolutely continuous measure is discussed and extended to more general …
and an absolutely continuous measure is discussed and extended to more general …