Results 11 to 20 of about 31,767 (152)
Algebraic deformations of toric varieties I. General constructions [PDF]
We construct and study noncommutative deformations of toric varieties by combining techniques from toric geometry, isospectral deformations, and noncommutative geometry in braided monoidal categories.
Cirio, Lucio +2 more
core +3 more sources
SQCD: A Geometric Apercu [PDF]
We take new algebraic and geometric perspectives on the old subject of SQCD. We count chiral gauge invariant operators using generating functions, or Hilbert series, derived from the plethystic programme and the Molien-Weyl formula.
A. Butti +34 more
core +2 more sources
These notes are based on three lectures given at the 2013 CIME/CIRM summer school. The purpose of this series of lectures is to introduce the notion of a toric fibration and to give its geometrical and combinatorial characterizations.
A. Dickenstein +12 more
core +1 more source
Around and beyond the canonical class [PDF]
This survey is an invitation to recent developments in higher dimensional birational geometry.Comment: to appear in "Birational geometry, rational curves, and arithmetic, Simons Symposium Proceedings", Springer ...
Lazić, Vladimir
core +1 more source
Differential Equations on Complex Projective Hypersurfaces of Low Dimension [PDF]
Let $n=2,3,4,5$ and let $X$ be a smooth complex projective hypersurface of $\mathbb P^{n+1}$. In this paper we find an effective lower bound for the degree of $X$, such that every holomorphic entire curve in $X$ must satisfy an algebraic differential ...
Diverio, Simone
core +1 more source
A geometric view of cryptographic equation solving [PDF]
This paper considers the geometric properties of the Relinearisation algorithm and of the XL algorithm used in cryptology for equation solving. We give a formal description of each algorithm in terms of projective geometry, making particular use of the ...
Ars G. +7 more
core +1 more source
A view on extending morphisms from ample divisors
The philosophy that ``a projective manifold is more special than any of its smooth hyperplane sections" was one of the classical principles of projective geometry.
Beltrametti, Mauro C., Ionescu, Paltin
core +2 more sources
Rational Connectivity and Analytic Contractibility
Let k be an algebraically closed field of characteristic 0, and let f be a morphism of smooth projective varieties from X to Y over the ring k((t)) of formal Laurent series.
Brown, Morgan, Foster, Tyler
core +1 more source
Abundance for varieties with many differential forms
We prove that the abundance conjecture holds on a variety $X$ with mild singularities if $X$ has many reflexive differential forms with coefficients in pluricanonical bundles, assuming the Minimal Model Program in lower dimensions.
Lazić, Vladimir, Peternell, Thomas
core +1 more source
Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen +12 more
wiley +1 more source

