Affine Algebraic Geometry (Record no. 1431889)

MARC details
000 -LEADER
fixed length control field 02420nam a22002657a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250619161056.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250619b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789811280085
040 ## - CATALOGING SOURCE
Original cataloging agency CSL
Transcribing agency CSL
041 ## - LANGUAGE CODE
Source of code eng
Language code of text/sound track or separate title eng
084 ## - COLON CLASSIFICATION NUMBER
Classification number B6:2 R4
Assigning agency CSL
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Miyanishi, Masayoshi
9 (RLIN) 516597
Relator term author.
110 ## - MAIN ENTRY--CORPORATE NAME
Relator term author
245 ## - TITLE STATEMENT
Title Affine Algebraic Geometry
Remainder of title : Geometry Of Polynomial Rings
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. London :
Name of publisher, distributor, etc. World Scientific,
Date of publication, distribution, etc. 2024.
300 ## - PHYSICAL DESCRIPTION
Extent xv, 424p.
Other physical details : ill.
Dimensions ; 23cm.
490 ## - SERIES STATEMENT
Series statement Series on university mathematics
Volume/sequential designation 11 v.
500 ## - GENERAL NOTE
General note Includes bibliography and index
520 ## - SUMMARY, ETC.
Summary, etc. Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric properties are well described by the finiteness or the vanishing of sheaf cohomologies on such varieties. For non-complete varieties like affine algebraic varieties, sheaf cohomology does not work well and research progress used to be slow, although affine spaces and polynomial rings are fundamental building blocks of algebraic geometry. Progress was rapid since the Abhyankar–Moh–Suzuki Theorem of embedded affine line was proved, and logarithmic geometry was introduced by Iitaka and Kawamata. Readers will find the book covers vast basic material on an extremely rigorous level: It begins with an introduction to algebraic geometry which comprises almost all results in commutative algebra and algebraic geometry. Arguments frequently used in affine algebraic geometry are elucidated by treating affine lines embedded in the affine plane and automorphism theorem of the affine plane. There is also a detailed explanation on affine algebraic surfaces which resemble the affine plane in the ring-theoretic nature and for actions of algebraic groups. The Jacobian conjecture for these surfaces is also considered by making use of the results and tools already presented in this book. The conjecture has been thought as one of the most unattackable problems even in dimension two. Advanced results are collected in appendices of chapters so that readers can understand the main streams of arguments. There are abundant problems in the first three chapters which come with hints and ideas for proof.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Geometry
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Affine
9 (RLIN) 813458
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Geometry
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Algebraic
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Colon Classification (CC)
Koha item type Textual
Classification part B6:2 R4
Suppress in OPAC No
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Colon Classification (CC)     Central Science Library Central Science Library 2024-11-13 Ashutosh Technical Books   B6:2 R4 SL1656071 2025-06-19 2025-06-19 Textual