Results 11 to 20 of about 31,767 (152)

Algebraic deformations of toric varieties I. General constructions [PDF]

open access: yes, 2013
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]

open access: yes, 2008
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

Linear Toric Fibrations [PDF]

open access: yes, 2013
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]

open access: yes, 2012
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]

open access: yes, 2008
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]

open access: yes, 2008
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

open access: yes, 2009
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

open access: yes, 2016
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

open access: yes, 2018
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

open access: yesAdvanced Materials, EarlyView.
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

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