Singularities, algebraic geometry, commutative algebra, and related topics : Festschrift for Antonio Campillo on the occasion of his 65th birthday
著者
書誌事項
Singularities, algebraic geometry, commutative algebra, and related topics : Festschrift for Antonio Campillo on the occasion of his 65th birthday
Springer, c2018
大学図書館所蔵 全6件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday.
Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.
目次
Preface.- Antonio Campillo: A Portrayal of his Life and Work.- Singularities in Positive Characteristic Equisingularity, Classification, Determinacy: Dedicated to Antonio Campillo on the occasion of his 65th birthday.- Ultrametric spaces of branches on arborescent singularities.- Two points of the boundary of toric geometry.- On the Milnor formula in arbitrary characteristic.- Foliations in the plane uniquely determined by minimal subschemes of its singularities.- Newton transformations and the motivic Milnor fiber of a plane curve.- Nash modification on toric curves.- A recursive formula for the motivic Milnor fiber of a plane curve.- On Hasse--Schmidt derivations: the action of substitution maps.- An introduction to resolution of singularities via the multiplicity.- Platonic Surfaces.- Coverings of rational ruled normal surfaces.- Ulrich bundles on Veronese surfaces.- Multiple structures on smooth on singular varieties.- Smoothness in a family of varieties with dihedral symmetry and the DFT matrix.- The Greedy Algorithm and the Cohen-Macaulay property of rings, graphs and toric projective curves.- Binomial ideals and congruences on $\mathbb{N}^n$.- The $K$-theory of toric schemes over regular rings of mixed characteristic.- On finite and nonfinite generation of associated graded rings of Abhyankar valuations.- Symbolic powers of monomial ideals and Cohen-Macaulay vertex-weighted digraphs.- Asymptotics of reduced algebraic curves over finite fields.- The Poincare polynomial of a linear code.- The Metric Structure of Linear Codes.- On some properties of $A$ inherited by $C_{b}(X,A)$.- A fractional partial differential equation for theta functions.- On continued fractions.
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