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“代数几何中的模空间”天元高级研讨会（Tianyuan Advanced Seminar on the Moduli Spaces in Algebraic Geometry）
代数几何中的模空间 天元 高级研讨会
2017/3/8
The topic for 2017 Tianyuan Spring School is: higher dimensional algebraic varieties and moduli theory, including biraitonal geometry, stability theory and the geometry of Fano varieties. The topics o...
2017年北京国际数学研究中心-东京代数几何研讨会（BICMR-Tokyo Algebraic Geometry Workshop）
2017年 北京国际数学研究中心-东京代数几何 研讨会
2017/3/8
Algebraic Geometry is a subject moving forward rapidly in the recent years. This conferences aims to encourage the communication among the algebraic geometers from the two institutes and others. Besid...
Algebraic Geometry is a subject moving forward rapidly in the recent years. This conferences aims to encourage the communication among the algebraic geometers from the two institutes and others. Besid...
Tianyuan Advanced Seminar on the Moduli Spaces in Algebraic Geometry
Tianyuan Advanced Seminar the Moduli Spaces in Algebraic Geometry
2017/2/15
The topic for 2017 Tianyuan Spring School is: higher dimensional algebraic varieties and moduli theory, including biraitonal geometry, stability theory and the geometry of Fano varieties. The topics o...
Zero Knowledge Authentication Protocols With Algebraic Geometry Techniques
zero knowledge procedures graph isomorphism problem multivariate polynomial system
2016/7/29
Several cryptographic methods have been developed based on the difficulty to determine the set
of solutions of a polynomial system over a given field. We build a polynomial ideal whose algebraic
set...
A Polynomial Time Attack against Algebraic Geometry Code Based Public Key Cryptosystems
public-key cryptography Algebraic Geometry codes
2016/1/26
We give a polynomial time attack on the McEliece public key cryptosystem based on algebraic geometry codes. Roughly speaking, this attacks runs in O(n4) operations in Fq, where n denotes the code leng...
Diffusion Matrices from Algebraic-Geometry Codes with Efficient SIMD Implementation
Diffusion matrix algebraic-geometry codes algebraic curves
2016/1/8
This paper investigates large linear mappings with very good diffusion and efficient software
implementations, that can be used as part of a block cipher design. The mappings are derived from linear
...
Universal covering spaces and fundamental groups in algebraic geometry as schemes
algebraic geometry fundamental groups
2015/7/14
In topology, the notions of the fundamental group
and the universal cover are closely intertwined. By importing
usual notions from topology into the algebraic and arithmetic setting, we construct a ...
MURPHY’S LAW IN ALGEBRAIC GEOMETRY: BADLY-BEHAVED DEFORMATION SPACES
LAW IN ALGEBRAIC GEOMETRY DEFORMATION SPACES
2015/7/14
We consider the question: “How bad can the deformation space of an object
be?” The answer seems to be: “Unless there is some a priori reason otherwise, the deformation space may be as bad as possible...
Enumerative Geometry is concerned with the number of solutions to a structured system of polynomial equations, when the structure comes from geometry. Enumerative real algebraic geometry studies real ...
Quaternionic Grassmannians and Pontryagin classes in algebraic geometry
Quaternionic Grassmannians Pontryagin classes algebraic geometry
2010/11/9
The quaternionic Grassmannian HGr(r,n) is the affine open subscheme of the ordinary Grassmannian parametrizing those 2r-dimensional subspaces of a 2n-dimensional symplectic vector space on which the ...
Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach
Topological expansion of beta-ensemble model quantum algebraic geometry sectorwise approach
2010/12/14
We solve the loop equations of the β-ensemble model analogously to the solution found for the Hermitian matrices β = 1. For β = 1, the solution was expressed using the algebraic spectral curve of equa...
ALGEBRAIC-GEOMETRY FOUNDATION FOR CONSTRUCTING SMOOTH INTERPOLANTS ON CURVED SIDES ELEMENT
2007/12/11
The aim of this paper is to lay a algebraic geometry foundation for
constructing smoothing interpolants on curved side element.
Some interpolation theorems in polynomial space are given. The main re...
For any irreducible complex projective variety A, we prove that in the nonstandard extension ~*A of A in a polysaturated model, the set of points which are not generic points of A has Loeb measure zer...
Algebraic geometry of Gaussian Bayesian networks
Algebraic geometry Gaussian Bayesian networks
2010/4/28
Conditional independence models in the Gaussian case are algebraic varieties in the
cone of positive definite covariance matrices. We study these varieties in the case of Bayesian
networks, with a v...