Results 51 to 60 of about 270,762 (116)
Ibadan Lectures on Toric Varieties
, 2017 Toric varieties are perhaps the most accessible class of algebraic varieties. They often arise as varieties parameterized by monomials, and their structure may be completely understood through objects from geometric combinatorics.
Sottile, Frank
core
Lattices in function fields and applications
Mathematika, Volume 71, Issue 2, April 2025.Abstract In recent decades, the use of ideas from Minkowski's Geometry of Numbers has gained recognition as a helpful tool in bounding the number of solutions to modular congruences with variables from short intervals. In 1941, Mahler introduced an analogue to the Geometry of Numbers in function fields over finite fields.
Christian Bagshaw, Bryce Kerr
wiley +1 more source
Towards a Hermeneutic Categorical Mathematics or why Category theory goes beyond Mathematical Structuralism [PDF]
arXiv, 2006 Category theory provides an alternative to Hilbert's Formal Axiomatic method and goes beyond Mathematical ...
arxiv
A sharp higher order Sobolev embedding
Mathematika, Volume 71, Issue 2, April 2025.Abstract We obtain sharp embeddings from the Sobolev space W0k,2(−1,1)$W^{k,2}_0(-1,1)$ into the space L1(−1,1)$L^1(-1,1)$ and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin.
Raul Hindov +3 more
wiley +1 more source
Modern Mathematical Physics: what it should be? [PDF]
arXiv, 2000 Personal view of author on goals and content of Mathematical Physics.
arxiv
A new construction of forests with low visibility
Mathematika, Volume 71, Issue 2, April 2025.Abstract A set of points with finite density is constructed in Rd$\mathbb {R}^d$, with d⩾2$d\geqslant 2$, by adding points to a Poisson process such that any line segment of length Oε−(d−1)lnε−1$O\left(\varepsilon ^{-(d-1)}\ln \varepsilon ^{-1}\right)$ in Rd$\mathbb {R}^d$ will contain one of the points of the set within distance ε$\varepsilon$ of it ...
Kirill Kashkan
wiley +1 more source
Transitive factorizations of permutations and geometry [PDF]
, 2014 We give an account of our work on transitive factorizations of permutations. The work has had impact upon other areas of mathematics such as the enumeration of graph embeddings, random matrices, branched covers, and the moduli spaces of curves.
Goulden, I. P., Jackson, D. M.
core
A four‐dimensional peabody of constant width
Mathematika, Volume 71, Issue 2, April 2025.Abstract In this paper, we present a unique four‐dimensional body of constant width based on the classical notion of focal conics.
Isaac Arelio +2 more
wiley +1 more source
Desperately seeking mathematical proof [PDF]
The Mathematical Intelligencer 31:2 (2009), 8-10, 2009 Remarks on mathematical proof and the practice of mathematics.
arxiv