Results 51 to 60 of about 441 (145)
Smooth maps and real algebraic morphisms
, 1999 Let X be a compact nonsingular real algebraic variety and let Y be either the blowup of along a linear subspace or a nonsingular hypersurface of of bidegree (1, 1). It is proved that a C1 map f : X → Y can be approximated by regular maps if and only if
W. Kucharz +3 more
core +1 more source
An introduction to the Kodaira dimension of algebraic varieties [PDF]
, 2023 The Kodaira dimension is the most basic birational invariant in algebraic geometry. The main goal of this thesis is to state the definition of the Kodaira dimension of a variety and compute it for irreducible smooth projective hypersurfaces and ...
Zanichelli, Lorenzo
core
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
Graph potentials and topological quantum field theories
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
wiley +1 more source
Calabi–Yau threefolds and moduli of abelian surfaces I [PDF]
, 2001 We describe birational models and decide the rationality/unirationality of moduli spaces $\cal A$d (and $\cal A$levd) of (1, d)-polarized Abelian surfaces (with canonical level structure, respectively) for small values of d.
Sorin Popescu +3 more
core +1 more source
Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Mathematische Nachrichten, Volume 299, Issue 3, Page 514-528, March 2026.Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley +1 more source
Systoles and Lagrangians of random complex algebraic hypersurfaces
, 2019 Let $n\geq 1$ be an integer, $\mathcal L \subset \R^n$ be a compact smooth affine real hypersurface, not necessarily connected. We prove that there exists $c>0$ and $d_0\geq 1$, such that for any $d\geq d_0$, any smooth complex projective hypersurface $
Gayet, Damien
core +1 more source
Amoebas of Complex Hypersurfaces in Statistical Thermodynamics
, 2013 The amoeba of a complex hypersurface is its image under the logarithmic projection. A number of properties of algebraic hypersurface amoebas are carried over to the case of transcendental hypersurfaces. We demonstrate the potential that amoebas can bring
Passare, Mikael, +2 more
core +1 more source
Degenerations of cubic fourfolds and holomorphic symplectic geometry
, 2012 In this thesis we study deformations of varieties of lines on smooth cubic hypersurfaces of the 5-dimensional complex projective space. These cubic hypersurfaces are also called cubic fourfolds.
Sub Algebra,Geometry&Mathem. Logic begr. +3 more
core
Curves in the Minkowski plane and Lorentzian surfaces [PDF]
, 2012 We investigate in this thesis the generic properties of curves in the Minkowski plane R2 1 and of smooth Lorentzian surfaces. The generic properties of curves in R2 1 are obtained by studying the contacts of curves in R2 1 with lines and pseudo-circles ...
SALOOM, AMANI
core