Results 11 to 20 of about 602,711 (60)

Hypercomplex Algebraic Geometry [PDF]

, 1998
It is well-known that sums and products of holomorphic functions are holomorphic, and the holomorphic functions on a complex manifold form a commutative algebra over C.
Joyce, Dominic
core   +2 more sources

Geometrically rational real conic bundles and very transitive actions [PDF]

, 2009
In this article we study the transitivity of the group of automorphisms of real algebraic surfaces. We characterize real algebraic surfaces with very transitive automorphism groups.
Biswas, Comessatti, Frédéric Mangolte, Iskovskikh, Iskovskikh, Jérémy Blanc, Kollár, Ronga, Tognoli   +8 more
core   +7 more sources

Good Codes From Generalised Algebraic Geometry Codes [PDF]

, 2010
Algebraic geometry codes or Goppa codes are defined with places of degree one. In constructing generalised algebraic geometry codes places of higher degree are used.
Ahmed, Mohammed Zaki, Jibril, Mubarak, Tjhai, Cen, tomlinson, Martin   +3 more
core   +3 more sources

Algebraic Geometry Approach to the Bethe Equation for Hofstadter Type Models [PDF]

, 2002
We study the diagonalization problem of certain Hofstadter-type models through the algebraic Bethe ansatz equation by the algebraic geometry method. When the spectral variables lie on a rational curve, we obtain the complete and explicit solutions for ...
Azbel M Ya, Baxter R J, Baxter R J, Bazhanov V V, Bellissard J, Bellissard J, Buslaev V, Choi M, Faddeev L D, Floratos E G, Harper P G, Helffer B, Helffer B, Helffer B, Kellendonk J, Peierls R, Shao-Shiung Lin, Shi-Shyr Roan, Shubin M A, Takhtadzhan L A, Wilkinson M, Zak J, Zak J   +22 more
core   +1 more source

Algebraic approximation in CR geometry [PDF]

, 2012
We prove the following CR version of Artin's approximation theorem for holomorphic mappings between real-algebraic sets in complex space. Let $M\subset \C^N$ be a real-algebraic CR submanifold whose CR orbits are all of the same dimension. Then for every
Mir, Nordine
core   +5 more sources

Spherical subcategories in algebraic geometry [PDF]

, 2016
We study objects in triangulated categories which have a two-dimensional graded endomorphism algebra. Given such an object, we show that there is a unique maximal triangulated subcategory, in which the object is spherical.
Hochenegger, Andreas, Kalck, Martin, Ploog, David   +2 more
core   +2 more sources

Cohomology operations and algebraic geometry [PDF]

, 2007
The manuscript is an overview of the motivations and foundations lying behind Voevodsky's ideas of constructing categories similar to the ordinary topological homotopy categories.
Borghesi, Simone
core   +3 more sources

Applications of singularity theory in applied algebraic geometry and algebraic statistics [PDF]

arXiv, 2023
We survey recent applications of topology and singularity theory in the study of the algebraic complexity of concrete optimization problems in applied algebraic geometry and algebraic statistics.
arxiv  

Dagger Geometry As Banach Algebraic Geometry

, 2015
In this article, we apply the approach of relative algebraic geometry towards analytic geometry to the category of bornological and Ind-Banach spaces (non-Archimedean or not).
Bambozzi, Federico, Ben-Bassat, Oren
core   +1 more source

Frobenius techniques in birational geometry

, 2016
This is a survey for the 2015 AMS Summer Institute on Algebraic Geometry about the Frobenius type techniques recently used extensively in positive characteristic algebraic geometry.
Patakfalvi, Zsolt
core   +1 more source