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- Algorithms in Real Algebraic Geometry 实代数几何学中的算法
- Topological Methods in Algebraic Geometry 3rd ed. 代数几何中的拓扑方法第3版。
- Algebraic Geometry I: Complex Projective Varieties by David Mumford. 复代数几何的经典。
- It has developed from two sources: algebraic geometry and algebraic member theory. 它由两个方面发展而来,代数几何和代数数论。
- These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields. 这些是在交换的代数,代数学的几何学,数论和这些领域的计算的方面方面的被分享的关心。
- In the fact, the algorithm is also fitted for the real algebraic numbers which have simple real roots in both definitional polynomials. 该算法同样适用于二个定义多项式均仅含单实根的实代数数。
- The purpose of this paper is to apply the results about Cousin complexes in commutative algebra to algebraic geometry and give a new treatment for Couin complexes on schemes. 本文应用交换代数中的Cousin复形的一些结果,对概型上的Cousin复形的理论进行了全新的处理,得到了一些有意义的结果。
- A geometic proof of the Jordan normal form is given by the Euclidean algorithm and the fundamental theorem of algebra, and its works in the algebraic geometry are also given. 摘要文章利用辗转相除法和代数学基本定理得到了若当标准型的几何法证明,并指出了其在代数几何上的作用。
- Gave solution of the three Weil conjectures concerning generalizations of the Riemann hypothesis to finite fields. His work did much to unify algebraic geometry and algebraic number theory. 德利涅生于比利时,1978年获奖,他解决代数几何学中联系素数与有限域中代数方程根的个数的韦伊猜想,以简洁清晰的证明解决了这一代数几何的中心问题。
- We have proposed an algorithm for determining the sign of the real algebraic numbers, which can be divided into two parts.Both can be the maximum root of their definitional polynomials. 摘要对一类特殊的实代数数:可以分成二部分之和,且其中一部分为它定义多项式的最大根,另一部分的相反数也是它定义多项式的最大根进行了研究。
- As is well known, abstract algebraic geometry has been recently not only the main field of applications of commutative algebra but also the principal incentive of new research in commutative algebra. 书中很多事例,由于涉及外交和他国声誉,故而不能具体点出这些国家的名字和涉及的国家的人员的具体姓名。
- In recent years, derived categories and derived equivalences have been adapted extensively to a number of subjects beyond algebraic geometry, and have become one of the dominant subjects. 近年来,导出范畴和导出等价广泛应用于众多学科并作为主流课题得到深入研究,产生了许多十分深刻的成果和富有挑战性的问题,反映了当今数学各学科互相渗透互相促进的发展趋势。
- Representation Theory and Algebraic Geometry 我的研究方向是表示论以及代数几何
- Commutative Algebra and Algebraic Geometry 交换代数与代数几何
- A simple test will show if this is real gold. 简单的试验就能证明这是否是真金。
- That's where the real danger lies. 这正是真正的危险所在。
- A New Algorithm for Determining Sign of Real Algebraic Numbers 实代数数符号判定的一种新算法
- That new shopping centre is a real eyesore. 那个新的购物中心真是难看极了。
- That old block of flats is a real eyesore! 那座旧公寓真不顺眼!
- ALGEBRAIC GEOMETRY CODES WITH GOOD ASYMPTOTIC PARAMETERS 具有优良渐近参数的代数几何码